Recursive equation :
A equation for one term that depends on another. If we want to generalize this sequence, we can achieve this by first defining the first term and then describing how the subsequent terms relate to one another. Recursive representation of a sequence occurs when the connection between its succeeding terms is described.Thus,
For the given question;
Common ratio or difference : 90% or 0.9.
first term = $26,500.
Thus, Recursive equation : f(n) = f(n - 1) + 9
Explicit equation :
Based on the term number, a formula for just any term.We explicitly represent a series when we have a formula that allows us to find any term as in sequence without considering any other terms.Thus,
Explicit equation : f(n) = 26,500 + (n - 1)(0.9).
To know more about the Recursive equation, here
https://brainly.com/question/1275192
#SPJ1
How do you draw a 1/2 scale?
If the scale factor is a fraction, the shape will be smaller. This is called reduction. Therefore, a 1/2 scaling factor means that the new shape is half of the original shape
What size is a 1/2 scale?Half scale is 1:2. It is helpful to think of this as one unit on the drawing equals two units on the object. A small object can be enlarged on the paper and drawn in 2:1 scale. This means the drawing of the object is twice as large as the object itselfStarting on the upper right portion of your paper, draw five parallel diagonal lines headed downwards to the lower left corner. ...Step 2 – Create a Diagonal Criss-Cross Pattern. ...Step 3 – Fill In the Diamond Spaces With Scales. ...Step 4 – Draw the Scales in the Middle Portion.A full size drawing would be 1:1 (or sometimes 1/1 or 'one to one'). A half size drawing would be 1:2. A tenth size drawing would be 1:10. A double size drawing would be 2:1.
To learn more about 1/2 scale refers to:
brainly.com/question/28339205
#SPJ4
If the scale factor is a fraction, the shape will be smaller. This is the so-called recovery. So a scale factor of 1/2 means that the new shape is half the original shape.
What size is 1/2 scale?Half scale is 1.
2. It is convenient to imagine that 1 unit on the drawing is equal to 2 units on the object. You can enlarge small objects and draw them on paper 2:
1 scale. This means that the drawing of the object is twice the size of the object itself.
Starting from the top right corner of the paper, draw five parallel diagonal lines towards the bottom left corner.
Step 2 - Create a diagonal cross pattern. ... Step 3 - Put the scales into the diamond shaped box. ...
Step 4 - Draw the scales in the middle part.
A full-size drawing will be 1.
1 (or sometimes 1/1 or "one to one"). A half-sized drawing will be 1.
2. A 10th grade drawing will be 1.
10. A double size drawing will be 2.
To learn more about 1/2 scale refers to:
brainly.com/question/28339205
#SPJ4
Along a hike, Jon takes 6 pictures. He takes 1 picture at
equal distances along the 3.72-mile trail. How far did Jon hike
between pictures?
mile(s)
The hike between the pictures will be 22.32 miles.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that along a hike, Jon takes 6 pictures. He takes 1 picture at equal distances along the 3.72-mile trail.
The hike will be calculated as:-
Hike = 6 x 3.72
Hike = 22.32 miles
Hence, the hike will be 22.32 miles between the pictures.
To know more about an expression follow
https://brainly.com/question/28773316
#SPJ1
In this right triangle, what is the length of the hypotenuse?
Answer:
hypotenuse = 55
Step-by-step explanation:
using Pythagoras' identity in the right triangle
the square on the hypotenuse c is equal to the sum of the squares on the other 2 sides, that is
c² = 33² + 44² = 1089 + 1936 = 3025 ( take square root of both sides )
c = [tex]\sqrt{3025}[/tex] = 55
I need help with this asap
The smallest y - intercept for the given equations is, (0, -6).
What is y - intercept?
A y-intercept, also known as a vertical intercept, is the location where the graph of a function or relation intersects the coordinate system's y-axis. This is done in analytic geometry using the common convention that the horizontal axis represents the variable x and the vertical axis the variable y. These points satisfy x = 0 because of this.
There are four function are given.
We have to find which function having smallest y - intercept.
Since, to find y - intercept we have to plug x = 0 in each equation.
Consider, the functions
1. g(x) = 2x - 6
Plug x = 0
g(0) = 0 - 6
g(0) = -4
⇒ The y - intercept is (0, -4).
2. f(x) = √x - 2
Plug x = 0
f(0) = 0 - 2
f(0) = -2
⇒ The y - intercept is (0, -2).
3. For 3 we get the equation, y = 2x + 1
Plug x = 0
y = 0 + 1
⇒ The y - intercept is (0, 1).
4. From graph the y - intercept is (0, -2).
Hence, the smallest y - intercept for the given equations is, (0, -6).
To know more about y-intercept, click on the link
https://brainly.com/question/25722412
#SPJ1
The price of a suit is reduced by 20%. By what percentage must the reduced price be increased so that the new price is 12% higher than the original price? Show how to use an equation to prove your answer.
Answer:
the reduced price must be increased by 32% to have a 12% higher price than the original price
The percentage that must the reduced in the reduced price so that the new price is 12% higher than the original price is 40%.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Let the price of the suit = 100
Reduced = 20%
Now,
The reduced price of the suit.
= 100 - (20% of 100)
= 100 - (20/100 x 100)
= 100 - 20
= 80 _____(1)
Now,
New price.
= 100 + (12% of 100)
= 100 + 12
= 112
Now,
From (1)
100% = 80
Multiply 112/80 on both sides.
112/80 x 100% = 112
140% = 112
This means,
40% increased
Thus,
40% increase in the reduced price.
Learn more about percentages here:
https://brainly.com/question/11403063
#SPJ2
Please Help me!!!!!!!!!!!!!!!!!!!!!!
Thank you !!!!!!!!!!!!!!!
Answer:
8 hours
Step-by-step explanation:
The rate at which the candle burns is:
5.5 in/11 hr = 0.5 in/hr
The 4 in candle burns at the same rate. Find the time for a 4 in candle to burn down:
time = (4 in) / (0.50 in/hr) = 8 hr
10.6 exponential growth and decay
1. y=7500(1+0.3)^x
2. y=(0.85)x
3. y=900(1.27)^x
Simplify the following expression.
A.23/63x+1/2
B. 23/63x+1/4
C. -5/63x+1/2
D. 3/16x+1/4
Answer:
Step-by-step explanation:
How do I search for a specific value in a table in SQL?
Enter the data value to be searched for in the Search text area. Choose the database to search in from the Database drop-down menu.
what is sequence ?The length of the sequence is the number of ordered elements (which could be infinite). Arithmetic sequences, geometric sequences, quadratic sequences, and special sequences are the four primary categories of sequences you need to be familiar with. A list of numbers connected by a rule is known as a number sequence. You can determine the subsequent numbers in the sequence if you figure out the rule. The difference in this instance between each number is 6.
given
Enter the data value to be searched for in the Search text area.
Choose the database to search in from the Database drop-down menu.
Select the tables and views you want to search in from the Select objects to search tree, or leave them all checked.
To know more about sequence visit:
https://brainly.com/question/21961097
#SPJ4
Solve for y
X=3+(y-5)^2
Answer:
y = 5 + √-3 + x
y = 5 - √-3 + x
Step-by-step explanation:
X=3+(y-5)^2
Let's simplify, and we will get
x = 3 + (y^2 -10y + 25)
x = 3 + y^2 - 10y + 25
x = y^2 - 10y + 28
0 = y^2 - 10y + 28 - x
We use the formula
-b ± √ b^2 -4(ac) / 2a
10 ± √(-10)^2 - 4 · (1 ( 28 - x) ) / 2
The answer will be
y = 5 + √-3 + x
y = 5 - √-3 + x
what are the names of the terms of m/5+4.6
The names of the terms of m/5+4.6 are m/5 and 4/6
How to determine the terms of the expressionFrom the question, we have the following parameters that can be used in our computation:
m/5 + 4.6
Considering an expression a + b
The terms of the expression are a and b
This means that the terms of the expression m/5 + 4.6 are m/5 and 4/6
Read more about expression at
https://brainly.com/question/4344214
#SPJ1
Solve for nnn.
7n-4 = 317n−4=317, n, minus, 4, equals, 31
n =n=n, equals
The value of the variable, n is 5
What is an algebraic expression?An algebraic expression can simply be defined as an expression that is composed of variables, coefficients, factors, constants and terms.
These mathematical expression called algebraic expressions are also composed of arithmetic operations, such as;
BracketMultiplicationAdditionParenthesesDivisionSubtractionExamples of algebraic expressions are;
2x + 18
2x² + 4
3y + 6
From the information given, we have that;
7n - 4 = 31
collect like terms
7n = 31 + 4
Add like terms
7n = 35
Make 'n' the subject of formula
n = 35/7
n = 5
Thus, the value is 5
Learn more about algebraic expressions here:
https://brainly.com/question/4344214
#SPJ1
A dozen is equal to 12 a case of pens contains 12 dozen. How many pens are in 2 cases
Answer:
24 pens
Step-by-step explanation:
Answer: the answer is actually 288
Step-by-step explanation:
you multiple 12 by 12 to get 144 then you multiply that by 2 to get 288
Use the origin as the center of dilation and the given scale factor to find the coordinates of the vertices of the image of the polygon.
k = 4
The coordinates of the points after dilation is S'(-20,10), T'(16,-12), U(-4,-4), and V'(-12,-4).
What is dilation?Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size.
Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size.
Given that the scale factor is 4. The coordinates of the points after dilation is,
S(-5,2) = S'(-5 x 4 , 2 x 4) = S'(-20, 8)
T(4,-3) = T'(4 x 4, -3 x 4 ) = T'(16, -12)
U(-1,-1) = U'(-4,-4)
V(-3,-1) = V'( -3 x 4, -1 x 4 ) = V'(-12,-4)
To know more about dilation follow
brainly.com/question/3457976
#SPJ1
5. Use the scatter plot to answer the question.
A. What grade would someone with 3 missing assignments
have?
B. After how many missing assignments will a student likely
have a zero for an average?
Average Grade
Number of Hissing Assignments
Therefore ,when the problem of expression is solved, we may state that the necessary inequality statement is 4.50x+1.75y 50.
Expression: What is it?An expression in mathematics consists of a statement, two or more variables or integers, but one or more mathematical functions. Numbers can be multiplied, divided, added, or subtracted using this mathematical operation. The construction of an expression is as follows: Expression: Math operator, variable or number, and math operator.
Here,
Cost per assignment is $4.50.
Therefore, "x" assignment cost equals 4.50x.
Cost per assignment: $1.75
Assignment "Y" cost is therefore 1.75Y.
Consequently, the sum of 4.50x+1.75y must be $50 or less.
Therefore, 4.50x+1.75y ≤ 50 is the necessary inequality statement.
To know more about expression , visit
brainly.com/question/14083225
#SPJ1
An electrician starts off the day with 600 feet of copper wiring on his truck. During the course of the day he uses pieces 100, 82, 25, and 40 feet long. The next day, he purchases another 400 feet and puts it on his truck and later in the day uses pieces of 41, 39, and 44 feet long. How many feet of wiring are still on the truck at the end of the second day?
The feet of wiring that are still on the truck at the end of the second day is 629 feet.
Arithmetic operations.Arithmetic operations implies solving a given question by addition, subtraction, division or multiplication as required in the question.
From the given question, total feet of copper wire at the start of the first day is 600 feet.
During the first day,
the total length of wire used = 100 + 82 + 25 + 40
= 247
Total length of copper used in the first day is 247 feet.
Length of copper wire remaining at the end of the first day = 600 - 247
= 353 feet
He purchased 400 feet of the wire so that;
total length of wire = 353 + 400
= 753 feet
the total length of wire used the second day = 41 + 39 + 44
= 124 feet
Total length of copper wire left after the second day = 753 - 124
= 629 feet
Learn more about arithmetic operations at https://brainly.com/question/13181427
#SPJ1
Star Finish charges $3.45 to develop a roll of film and $0.33 for each photo that it prints. Create a ration function giving the mean cost c per print when p prints are made.
The rational function to define this situation would be p = 3.45 + 0.33c.
What is rational function?A rational function in mathematics is any function that can be expressed as a rational fraction, which is an algebraic fraction in which the denominator and numerator are both polynomials. It is not necessary for the polynomials' coefficients to be rational numbers; they can be taken from any field K.
In this instance, a rational function and a rational fraction over K are used. The variables' values can be entered into any field L that contains K. In this case, L is the codomain and the domain of the function is the collection of variable values for which the denominator is not zero.
They charge $3.45 to develop a roll of film and $0.33 for each photo that it prints.
The rational function define this situation would be
p = 3.45 + 0.33c
Thus, the rational function to define this situation would be p = 3.45 + 0.33c
Learn more about rational function
https://brainly.com/question/27914791
#SPJ1
What is the formula to find image?
The formula to find the resolution of an image, also known as its pixel density, is Pixels per Inch (PPI) or Pixels per Centimeter (PPCM). This formula is used to determine the number of pixels in a given area of an image.
The higher the PPI or PPCM, the greater the resolution of the image.
To calculate PPI, you need to know the total number of pixels in the image (width x height) and the physical size of the image (width x height in inches or cm). Once you have this information, you can use the following formula: PPI = (pixels / physical size) x (inches/cm).
For example, if an image has a resolution of 1920 x 1080 pixels and is printed at a size of 8 x 6 inches, the PPI would be (1920 x 1080) / (8 x 6) = 240 PPI.
In conclusion, PPI or PPCM is the formula used to find the resolution of an image, also known as its pixel density. It is calculated by dividing the total number of pixels in the image by its physical size and multiplying it by inches/cm.
The higher the PPI or PPCM, the greater the resolution of the image. It is important to consider the PPI or PPCM when choosing an image to print or display in order to ensure that it will be of high quality and have a high resolution.
Learn more about image at
https://brainly.com/question/30098490
#SPJ4
(-3)^2 without exponent?
Answer: 9
Step-by-step explanation:
what is the solution of the equation 6-2^(x)=1
Answer:
Step-by-step explanation:
6-2^x=1
-2^x+6=1
-2^x+6-6=1-6
-2^x=1-6
-2^x=-5
x=-5
Out of 30 tudent urveyed, 17 have a dog. Baed on thee reult, predict how many of the 300 tudent in the chool have a dog?
170 out of 300 students in the school own a dog.
A word problem is a short passage presenting a "real-life" situation where an issue has to be solved using math.
Word problems are seen as an essential component of learning in the elementary curriculum because they require students to apply their understanding of various concepts to situations that are representative of "real-life" situations.
Given that,
Total number of students surveyed = 30
Total number of students that own a dog = 17
Total number of students in the school = 300
In order to find the equivalent of 17/30 with the bottom number 300
we get, 10 times of 30 is equal to 300 so based on this,
17/30 times 10/10 = 170/300
Thus, 170 out of 300 students in the school own a dog.
Correct question: Out of 30 students surveyed, 17 have a dog. Based on these results, predict how many of the 300 students in the school have a dog.
To know more about word problems visit: brainly.com/question/2610134
#SPJ4
Endpoint B is (9,4). The slope of AB is 1/3. Point P is 5/6 the directed path of BA.
A is (_,_) and P is (_,_)
P divides BA in the ratio of _:_
Endpoint A has coordinates (3,12) since the slope of AB is 1/3 and B is (9,4). Point P has coordinates (7,8) since P is 5/6 the directed path of BA.
Point P divides BA in the ratio of 5:6.
What is Ratio?How much of one quantity is in the other can be found by comparing two amounts of the same unit and calculating the ratio. Ratios can be categorized into two groups. Part to part ratio is the opposite of part to whole ratio. A two distinct things or groupings are related to one another as shown by the part-to-part ratio. For instance, the boy-to-girl ratio in a class is 12:15, but the part-to-whole ratio describes how one group of people compares to the total population. For instance, five out of ten people say they like to read. The ratio of the part to the whole is therefore 5: 10, which indicates that 5 out of every 10 people enjoy reading.
To know more about ratios visit:
https://brainly.com/question/29343644
#SPJ1
Solve the system.
6x - 4y = 12
y = 3/2x - 2
This system has no solution because the two equations are not consistent.
What is equation?An equation is a statement that asserts the equality of two expressions. For example, the equation "2x + 3 = 7" asserts that the value of the expression "2x + 3" is equal to the value of the expression "7".
What is system of linear equation?A system of linear equations is a set of two or more linear equations that are to be solved simultaneously. Linear equations are equations in which the highest degree of the variable is 1. For example, the equations "2x + 3y = 7" and "x - 4y = 2" are both linear equations, and solving them together forms a system of linear equations. These systems can be represented graphically by straight lines in a two-dimensional coordinate system, and the solution of a system of linear equations is the point or points of intersection of the lines.
To know more about system of equation visit:
https://brainly.com/question/12895249
#SPJ1
In a tournament, a professional golfer knows that she is 200 yards from the hole. A spectator is watching her play and is 140 yards away from the golfer. Triangle with vertices labeled golfer and spectator and hole, with the distance from the golfer to the spectator measuring 140 yards and the distance from the golfer to the hole measuring 200 yards and the vertex of the spectator measuring 120 degrees If the spectator has an angle of 120° between the golfer and the hole, what is the angle that the golfer has between the spectator and the hole?
The angle that the golfer has between the spectator and the hole is cos^-1((a^2 + b^2 - c^2)/(2ab))
How do we determine the angle?The angle that the golfer has between the spectator and the hole can be found using the Law of Cosines. The Law of Cosines states that for a triangle with sides a, b, and c and angle C opposite side c, the following equation holds:
c^2 = a^2 + b^2 - 2ab * cos(C)
In this case, we know that a = 140 (the distance from the golfer to the spectator), b = 200 (the distance from the golfer to the hole), and C = 120 (the angle between the golfer and the spectator).
We can use these values to solve for c, which is the distance from the spectator to the hole. Once we have this value, we can use the Law of Cosines again to find the angle between the golfer and the hole.
c^2 = 140^2 + 200^2 - 2 * 140 * 200 * cos(120)
c = sqrt(140^2 + 200^2 - 2 * 140 * 200 * cos(120))
Now we can use this value of c to find angle A:
A = cos^-1((a^2 + b^2 - c^2)/(2ab))
Note that the angle A is what we're looking for, the angle between the golfer and the hole.
learn more about Law of Cosines: https://brainly.com/question/4372174
#SPJ1
Use the summation notation to rewrite the following expression.
1/2! + 2/3! + 3/4! + ...+ n/(n+1)! = [nΣk=1]
[nΣk=1]k/(k+1)! is the notation of the summation .
The summation notation is a compact way of expressing the sum of a series of terms. In this case, the series of terms is the expression "1/2! + 2/3! + 3/4! + ...+ n/(n+1)!" which can be represented using the summation notation as [nΣk=1]k/(k+1)!. It is saying the sum of all k/(k+1)! where k = 1, 2, 3, ...., n. The summation notation consists of three parts, the n, Σ and the k=1. The n represents the upper limit of the summation, the Σ (sigma) represents the summation operator and the k=1 represents the lower limit of the summation.
To know more about summation click below:
https://brainly.com/question/29156854#
#SPJ4
5. Comparing Steelers in the modern NFL, teams emphasize the passing game much more than teams in the 1970s
did, which were more run-oriented. This makes it very difficult to compare the performances of quarterbacks
from these eras - even when they both played for the same team. In 1979, Terry Bradshaw threw for a career-
high 3724 yards. In 2014, Ben Roethlisberger threw for a career-high 4952 yards. 36 Whose performance was
better, relatively speaking?
a. In 1979, the top quarterback for each of the 28 teams threw for an average of 2789 yards with a
standard deviation of 752 yards. Calculate and interpret the z-score for Terry Bradshaw's performance in
1979.
b. In 2014, the top quarterback for each of the 32 teams threw for an average of 3447 yards with a standard
deviation of 970 yards. Calculate and interpret the z-score for Ben Roethlisberger's performance in 2014.k
A z-score is used to measure how many standard deviations an individual value is from the mean of a given set of data.
Whose performance was better, relatively speaking?Terry Bradshaw's performance in 1979 had a z-score of 1.21, which means his performance was 1.21 standard deviations above the mean for all quarterbacks in the NFL that year.Ben Roethlisberger's performance in 2014 had a z-score of 1.31, which means his performance was 1.31 standard deviations above the mean for all quarterbacks in the NFL that year.Terry Bradshaw's performance in 1979 had a z-score of 0.98, which indicates that his performance was slightly above average. This indicates that, while his performance was impressive in 1979, it was still slightly below what other quarterbacks in the league were doing at the time. Ben Roethlisberger's performance in 2014 had a z-score of 1.51, which indicates that his performance was significantly above average. This indicates that his performance was significantly better than what other quarterbacks in the league were doing in 2014. This is a testament to the increased emphasis on the passing game in the modern NFL.To calculate the z-score for Terry Bradshaw's performance in 1979, we subtract the mean of 2789 yards from his performance of 3724 yards and divide by the standard deviation of 752 yards. This yields a z-score of 1.95. This means that his performance was 1.95 standard deviations higher than the average of other quarterbacks in the same year. Similarly, to calculate the z-score for Ben Roethlisberger's performance in 2014, we subtract the mean of 3447 yards from his performance of 4952 yards and divide by the standard deviation of 970 yards. This yields a z-score of 1.63. This means that his performance was 1.63 standard deviations higher than the average of other quarterbacks in the same year. Therefore, while both performances were impressive, Roethlisberger's performance was slightly less impressive than Bradshaw's.To learn more about numerical value refer to:
https://brainly.com/question/27922641
#SPJ1
How do you find the total number of factors of a number?
Total Number of Factors for N = (a+1) (b+1) (c+1) is the formula for how many factors there are in total for a given number.
what is prime factor?Any natural number other than 1 with just itself and the number 1 as its divisors is considered a prime factor. Actually, 2, 3, 5, 7, 11, and so on are some of the first prime numbers. an amount that has been multiplied to produce another amount. By dividing 15 by 3 and 5, for instance, we get 3 5 = 15. main elements: Prime factors include all factors that are prime but are not composite. A few prime factors of 30 are 2, 3, and 5. Only 2 and 3 are prime factors of 12, so listing 2 twice as 2 2 3 (or 22 3) is necessary to factorize 12. The sum of 2 + 3 is not 12.
Total Number of Factors for N = (a+1) (b+1) (c+1) is the formula for how many factors there are in total for a given number.
To know more about prime factor visit:
https://brainly.com/question/29775157
#SPJ4
Recall that a reinforcement beam will extend from one trut to the other when the two trut are 2 feet apart. Algebraically determine the x -value of where the beam hould be placed. (15 point)
The x-value of where the beam should be placed is X = (x1+x2)/2.
Given: the distance between the two trusses is 2 feet and the reinforcement beam will extend from one truss to the other.
We can set up an equation using the distance formula to determine the x-value of where the beam should be placed.
The distance formula is: d = √((x2 - x1)² + (y2 - y1)²)
Let's assume that the trusses are located at point (x1, y1) and (x2, y2) and the beam is located at point (x, y).
We know that the distance between the trusses is 2 feet, so we can set d = 2.
We can use the coordinates of the trusses and the point where the beam is located to set up the equation:
d = √((x2 - x1)² + (y2 - y1)²) = 2
Since the trusses are located on the same line and only the x-coordinate changes, we can assume that y1=y2
Therefore the equation can be simplified to √((x2 - x1)²) = 2
Square both sides: (x2 - x1)² = 4
x2 - x1 = 2
Now we know that the difference between the x-coordinates of the two trusses is 2 feet.
So, to find the x-value of the point where the reinforcement beam should be placed, we can take the average of the x-coordinates of the two trusses.
x = (x1+x2)/2
We don't know the values of x1 and x2, so we can't solve for x. But we know that the reinforcement beam should be placed exactly in the middle of the trusses.
Thus, The x-value of where the beam should be placed is X = (x1+x2)/2.
To learn more about distance formula,
Visit; brainly.com/question/28956738
#SPJ4
Graph the line that passes through the points (-6, -4) and (-5, -4) and
determine the equation of the line.
Answer:
Step-by-step explanation:
The equation of the line passing through the points [tex](x_{1},y_{1} ) and (x_{2} ,y_{2} )[/tex] is
[tex]y-y_{1}=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}*(x-x_{1} )[/tex]
plug the two points [tex](x_{1},y_{1} )=(-6,-4) and (x_{2} ,y_{2} )=(-5,-4)[/tex] into the equation.
[tex]y-y_{1}=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}*(x-x_{1} )\\y+4=\frac{-4-(-4)}{-5-(-6)} *(x+6)[/tex]
[tex]y-y_{1}=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}*(x-x_{1} )\\y+4=\frac{-4-(-4)}{-5-(-6)} *(x+6)\\y+4=0\\y=-4[/tex]
The equation of line that runs through the points (-6, -4) and (-5, -4) is y = -4.
What is the equation of the line that passes through the points (-6, -4) and (-5, -4)?The slope-intercept form is expresses as;
y = mx + b
Where m is slope and b is y-intercept.
Given that the line that passes through the points (-6, -4) and (-5, -4).
First, we find the slope.
Slope m = ( y₂ - y₁ )/( x₂ - x₁ )
Slope m = ( -4 - (-4) )/( -5 - (-6) )
Slope m = ( -4 + 4 )/( -5 + 6 )
Slope m = ( 0 )/( 1 )
Slope m = 0
Next, find the y-intercept b.
y = mx + b
Plug in slope m = = and point 1( -6, -4 )
-4 = 0(-6) + b
Solve for b
-4 = b
b = -4
Now, plug slope m = 0 and y-intercept b = -4 into the slope intercept form to determine the equation of the line.
y = mx + b
y = 0(x) + -4
y = -4
Therefore, the equation of line is y = -4.
Learn more about equation of line here: brainly.com/question/2564656
#SPJ1
f(x)=x^2 Vertical compression, factor of 1/2
The function that represents the vertical compression of function f(x) = x² by a factor of 1/2 is given as follows:
f(x) = x²/2.
How to model the vertical compression of the function?The parent function for this problem is defined as follows:
f(x) = x².
For a vertical compression by a factor of a, the function is multiplied by the constant a with absolute value less than 1, that is:
g(x) = a x f(x), |x| < 1.
The factor of the compression for this problem is of a = 1/2, hence the function that represents the vertical compression of function f(x) = x² by a factor of 1/2 is given as follows:
f(x) = x²/2.
More can be learned about vertical compression at https://brainly.com/question/24261456
#SPJ1