Answer:
Step-by-step explanation:
eq. of any line perpendicular to 5x+6y=-6 is
5y-6x=c
where c is a constant.
it passes through (-2,-1) so
5(-1)-6(-2)=c
c=-5+12=7
so reqd. eq. is 5y-6x=7
or 6x-5y=-7
or
slope of given line =-5/6
slope of reqd. line=6/5
eq. of line through (-2,-1) with slope 6/5 is
y+1=6/5(x+2)
5y+5=6x+12
5y=6x+12-5
or 5y=6x+7
or
6x-5y=-7
The function h(x) = 2|x] is a transformation of the absolute value parent
function, f(x) = |xl. Which graph shows h(x)?
The graph is shown in the attached image.
What is the question of the translated function, g(x), if f(x)=x^2
-Dear lord help
The graph of the parabola g(x) is (x+2)^2 + 3
Translation of functionGiven the following parent function of the parabola expressed as;
f(x) = x^2
The function g(x) shows a horizontal translation to the left by 2 units and vertical translation up by 3 units to have the equation;
g(x) = (x+2)^2 + 3
Hence the graph of the parabola g(x) is (x+2)^2 + 3
Learn more on translation here: https://brainly.com/question/12861087
#SPJ1
When given -5(x + 4) = 90 and trying to prove that x = -18, what should be placed in line A of the two-column proof? Statement Reason 1. -5(x + 4) = 90 1. Given 2. -5x − 20 = 90 2. _____A______ 3. _______B________ 3. Addition Property of Equality 4. x = -22 4. ____C_______ Subtraction Property of Equality Distributive Property
The 4 reasons for the Algebra proof are respectively;
Given; Distributive property; Addition Property; Division Property
How to use algebra properties?We want to use algebra properties to find the value of x in the expression; -5(x + 4) = 90
Statement 1; -5(x + 4) = 90
Reason 1; Given
Statement 2; -5x - 20 = 90
Reason 2; Distributive property of Algebra because we distributed -5 into the bracket terms.
Statement 3; -5x = 110
Reason 3; Addition property of equality because we added 20 to both sides to achieve that.
Statement 4; x = -22
Reason 4; Division property of equality because we divided both sides by -5 to obtain x = -22.
Thus, the 4 reasons are respectively;
Given; Distributive property; Addition Property; Division Property
Read more about Algebra Properties at; https://brainly.com/question/11131460
#SPJ1
Fill in the blank with a number to make the expression a perfect square. v^(2)-10v+
The number makes the expression a perfect square trinomial is 25.
Hence, we have v² - 10v + 25.
What number makes the expression a perfect square?
Given the expression; v² - 10v
To determine the number that makes the expression a perfect square trinomial, we divide the coefficient of v by 2 and square the result.
( -1 × 10/2 )²
(-1 × 5)²
( -5 )²
25
We add 25 to the expression to get a perfect square trinomial.
v² - 10v + 25.
Therefore, the number makes the expression a perfect square trinomial is 25.
Hence, we have v² - 10v + 25.
Learn more about perfect square here: https://brainly.com/question/385286
#SPJ1
Identify all rays and lines in the picture below.
The rays and lines in the picture are as follows;
rays: BD, AC and AB
lines: AC
What are rays and lines?A ray is a part of a line that has one endpoint and goes on infinitely in only one direction.
A ray is named using its endpoint first, and then any other point on the ray
A line segment has two endpoints.
Therefore, the rays and lines are as follows:
rays: BD, AC and AB
lines: AC
learn more on rays and lines here: https://brainly.com/question/13486760
#SPJ1
126.8 is 63 2/5% of what?
Answer:
200
Explanation:
126.8 x 100
126.8/63.4 = 200
Can someone answer this for me
The equation of the line in standard form is 6x - 7y = - 11
How to represent linear equation in standard form?The standard form for linear equations in two variables is Ax + By = C.
Therefore, using (-3, -1)(1 / 2, 2)
y = mx + b
where
m = slopeb = y-interceptHence,
m = 2 + 1 / 1 /2 + 3 = 6 / 7
Hence,
-1 = 6 / 7(-3) + b
- 1 = - 18 / 7 + b
-1 + 18 / 7 = b
b = -7 + 18/ 7
b = 11 / 7
Therefore,
y = 6 / 7 x + 11 / 7
Using the standard form,
6 / 7 x - y = - 11 / 7
6x - 7y = - 11
learn more on equation here: https://brainly.com/question/27664510
#SPJ1
The linear equation in standard form is:
6x - 7y = -11
Which is the last option.
How to get the equation of the line?
The line in slope-intercept form is written as:
y = a*x + b
We can see that the line passes through the points (-3, -1) and (1/2, 2), then the slope is:
[tex]a = \frac{2 - (-1)}{1/2 - (-3)} = \frac{3}{3.5} = \frac{6}{7}[/tex]
Then we can write:
y = (6/7)*x + b
To find the value of b, we use the first point. It means that when x = -3, the value of y is -1, then we get:
-1 = (6/7)*-3 + b
-1 + 18/7 = b
-7/7 + 18/7 = b
11/7 = b
Then the equation is:
y = (6/7)*x + 11/7
If we multiply both sides by 7 we get:
7y = 6x + 11
Now we move the term with "x" to the left:
7y - 6x = 11
That is the line in standard form.
If we multiply both sides by -1, we get the last option:
6x - 7y = -11
If you want to learn more about linear equations:
https://brainly.com/question/1884491
#SPJ1
Lionel sold at $10.70 each and 15 pens at $2.10 each during a sale. Janet sold the same number of balls at $11.20 each and 15 pens at $1.90each. They collected the same amount of money. How many ball did each of them sell?
A farmer finds there is a linear relationship between the number of bean stalks, n , she plants and the yield, y , each plant produces. When she plants 30 stalks, each plant yields 30 oz of beans. When she plants 33 stalks, each plant produces 29 oz of beans. Find a linear relationship in the form y=mn+b that gives the yield when n stalks are planted.
The equation y = -0.5x +45 represent the linear relationship.
According to the statement
We have given that the When she plants 30 stalks, each plant yields 30 oz of beans and When she plants 33 stalks, each plant produces 29 oz of beans.
And we have to find the linear relationship between the plants which are stalks.
So, For this purpose,
When we consider this graph as a straight line, the two points lying on the line would be
(30, 30) and (34, 28) taking n as horizontal and y vertical
Using two point equation we find that
the equation of the line is
y-y1 / y2-y1 = x-x1 / x2-x1
Substitute the points as x =n and put the other values in it then
y-30 / 28-30 = x-30 / 34-30
Then
y = -0.5x +45
This represent the relationship.
So, The equation y = -0.5x +45 represent the linear relationship.
Learn more about linear relationship here
https://brainly.com/question/6691346
#SPJ1
Blue Ocean Realty Co. pays weekly salaries of $33,300 for a six-day workweek (Monday through Saturday).
-102/119 in standard form
Answer:-8.5714285714 × 10-1
Step-by-step explanation:
-101/119=-0.85714285714
remember Any number that we can write as a decimal number, between 1.0 and 10.0, multiplied by a power of 10, is said to be in standard form.
so -0.85714285714 in standard form is -8.5714285714 × 10-1
A person draws a card from a hat. Each card is one color, with the following
probabilities of being drawn: 1/25 for blue, 1/15 for yellow, 1/10 for green, and
1/20 for white. What is the probability of pulling a green or yellow card, written
as a reduced fraction?
FU
Answer:
1/6
Step-by-step explanation:
1/15 yellow, 1/10 green, and 1/20 white
1/15 + 1/10 is the probability for yellow or green.
2/30 + 3/30 = 5/30 = 1/6
Brainliest, please :)
Exponentiation is the raising of one number to the power of another. This operation is performed using two asterisks **. Let's use exponentiation to solve a known problem. You are offered a choice of either $1.000.000 or $0.01 (one penny) doubled every day for 30 days (the resulting amount is doubled every day). Task: Write a program to calculate the amount that will result from the doubling to understand which choice results in a larger amount. Hint: Let's see how exponentiation can be useful to perform the calculation. For example, if we want to calculate how much money we will have on the 5th day, we can use this expression: 0.01*(2**5) = 0.32 dollars (multiply the penny by 2 raised to the power of 5).
In math, Exponentiation refers to the operation of raising one quantity to the power of another. See the program running the exponentiation below.
What is the required code?The code is given below:
number_of_days = 30
amount_after_30days = 0.01 * (2 ** number_of_days)
# print the amount
print(amount_after_30days)
Learn more about exponentiation at;
https://brainly.com/question/11975096
#SPJ1
i need help with number 70
The volume of the rectangular prism is of 28.6875 mm³.
What is the volume of a rectangular prism?
The volume of rectangular prism of length l, width w and height h is given by:
V = lwh.
For this problem, the dimensions are:
2(1/8)mm = 2 + 1/8 = 2.125 mm.6(3/4)mm = 6 + 3/4 = 6.75 mm.2 mm.Hence the volume is:
V = 2.125 x 6.75 x 2 = 28.6875 mm³.
More can be learned about the volume of a rectangular prism at https://brainly.com/question/17223528
#SPJ1
Question 3(Multiple Choice Worth 5 points)
(08.02 MC)
Which of the following tables shows the correct steps to transform x2 + 6x +8=0 into the form (x-p)² =q?
[p and q are integers]
The correct steps to transform x^2 + 6x +8=0 into the form (x-p)² =q are;
x^2 + 6x +8 +1 = 0 + 1
x^2 + 6x +8 +1 = 1
x^2 + 6x + 9 = 1
(x+3)² = 1
Vertex form of a quadratic equationThe vertex form of a quadratic equation is expressed as:
a(x-h)² + k
Given the quadratic equation
x^2 + 6x +8=0
Subtract 8 from both sides
x^2 + 6x +8 - 8 = 0 - 8
x^2 + 6x = -8
Complete the square
(x^2+6x+3^2) = -8 + 9
(x+3)² = -8 + 9
(x+3)² = 1
Hence the correct steps to transform x^2 + 6x +8=0 into the form (x-p)² =q are;
x^2 + 6x +8 +1 = 0 + 1
x^2 + 6x +8 +1 = 1
x^2 + 6x + 9 = 1
(x+3)² = 1
learn more on completing the square here: https://brainly.com/question/13981588
#SPJ1
Create a line that is parallel to and passes through point C. You can use the tools available in GeoGebra to create parallel lines for this construction. Take a screenshot of your results, and paste it below.
reate a line that is parallel to and passes through point C. You can use the tools available in GeoGebra to create parallel lines for this construction. Take a screenshot of your results, and paste it below.
Create a line that is parallel to AB and passes through point C. You can use the tools available in GeoGebra to create parallel lines for this construction. Take a screenshot of your results, and paste it below.
The attached line is a parallel line that goes through C and parallel to AB
What are parallel lines?Parallel lines are lines on the same plane that have the same slope, they do not intersect even when they are extended indefinitely
How to create the parallel lines?From the question, we have the following points and line:
Line ABPoint CThe following steps would create the parallel line that goes through C and parallel to AB
Draw a line from point C to touch the line segment AB at anywhereMark a point anywhere on the line drawn from point C such that the line is short. Call this point KCreate a circle that has a radius F KMark the intersection of the circle and the initial lineCreate another circleMark the intersection of the circle and the line ABCreate another circleConnect the endpoints of the linesSee attachment for the parallel line that goes through C and parallel to AB
Read more about parallel lines at:
https://brainly.com/question/24607467
#SPJ1
Zoya asked the students of her class their baseball scores and recorded the scores in the table shown below:
Baseball Scores
Score Number of Students
0 1
1 2
2 5
3 3
4 6
5 7
6 9
Based on the table, what is the mean baseball score?
2.5
2.9
3.5
4.1
Option D, 4.1 is the correct answer. The mean baseball score is 4.1 given the table of values of baseball scores and score number of students. This can be obtained by using the formula for mean.
Calculate mean for the data:Mean can be obtained by the formula,
Mean = [tex]\frac{sum\ of\ observations}{total\ number\ of\ observations}[/tex]
Sum of basketball scores = 0×1 + 1×2 + 2×5 + 3×3 + 4×6 + 5×7 + 6×9
= 0 + 2 + 10 + 9 + 24 + 35 + 54
total number of basketball scores = 1 + 2 + 5 + 3 + 6 + 7 + 9 = 33
Mean = [tex]\frac{0+2+10+9+24+35+54}{33}[/tex] = 4.06 ≈ 4.1
Hence the mean baseball score is 4.1 given the table of values of baseball scores and score number of students. Option D, 4.1 is the correct answer.
Learn more about mean here:
brainly.com/question/12019147
#SPJ1
Fill in the blank 57.59 - ___=1.29
Answer: 57.59- 56.3=1.29
Step-by-step explanation:
57.59-x = 1.29
-x= 1.29-57.59
(—) -x= - 56.3
x=56.3
Find the difference: -2-6
I need to find the area for this shape I’ve tried several different ways and still no answer please help
Answer:
c) 212 sq ft
Step-by-step explanation:
I don't know which ways you tried, but I will show you three different ways, and the answer will be the same using all three ways.
1) The length of the upper horizontal side is 8 ft + 12 ft = 20 ft
Think of a rectangle 20 ft by 16 ft with a rectangle 12 ft by 9 ft missing at the lower right corner.
area = 20 ft × 16 ft - 12 ft × 9 ft
area = 320 ft² - 108 ft²
area = 212 ft²
2) Break up the shape into an upper horizontal rectangle 20 ft long by (16 ft - 9 ft) = 7 ft wide and a lower left rectangle 9 ft high and 8 ft wide.
area = 20 ft × 7 ft + 9 ft × 8 ft
area = 140 ft² + 72 ft²
area = 212 ft²
3) Break up the shape into an left vertical rectangle 16 ft high by 8 ft wide and an upper right rectangle 7 ft high and 12 ft wide.
area = 16 ft × 8 ft + 7 ft × 12 ft
area = 128 ft² + 84 ft²
area = 212 ft²
Answer: c) 212 sq ft
Answer:
Step-by-step explanation:
espero ter ajudado
Use the chart to find the constant of variation
As k₁ = k₂ = k₃, the table represents a linear relation whose constant of variation is - 4.
Does the table represent a linear relation?
A table between two variables represents a linear relation if and only if every pair of values (x, y) have the same constant:
k = y/x (1)
Now we proceed to check the existence of the constant of variation:
k₁ = 8/(- 2) = - 4
k₂ = (- 16)/4 = - 4
k₃ = (- 36)/9 = - 4
As k₁ = k₂ = k₃, the table represents a linear relation whose constant of variation is - 4.
To learn more on linear relations: https://brainly.com/question/19586594
#SPJ1
You are ordering shirts for a club at your school. The function f(x) = 8x + 12 represents the cost of
ordered a shirts. How much would it cost to buy 32 shirts?
The cost of buying 32 shirts according to the function given is $268.
Given that the function f(x) = 8x + 12 represents the cost of ordered a shirt.
We need to find the cost to buy 32 shirts.
To find out how much it would cost to buy 32 shirts, you can use the given function f(x) = 8x + 12, where 'x' represents the number of shirts and 'f(x)' represents the cost of ordering 'x' shirts.
Let's plug in x = 32 into the function:
f(32) = 8 × 32 + 12
f(32) = 256 + 12
f(32) = 268
So, it would cost $268 to buy 32 shirts.
Learn more about function click;
https://brainly.com/question/31062578
#SPJ7
Which function is graphed below?
The function that represents the given trigonometric graph is; f(x) = cos (x)
How to Interpret Trigonometric Graphs?From the given trigonometric Graph, we can see the following;
When x = 0, y = 1
When x = π/2, y = 0
When x = π, y = -1
When x = 2π, y = 1
Now, according to trigonometric functions in radians, we know that;
cos 0 = 1
cos π/2 = 0
cos π = -1
cos 2π = 1
These values correspond with what we have in the given trigonometric graph and as such we can say that the function that is graphed is;
f(x) = cos (x)
Read more about Trigonometric Graphs at; https://brainly.com/question/24329125
#SPJ1
What is the equation of the line that passes through the point (6,-3) and has an undefined slope?
Answer:
x=6
Step-by-step explanation:
This is a vertical line going through (6,0). If you take this point and the point given and calculate the slope you find the change in y over the change in x.
0-(-3)/6-6 The slope is undefined because the denominator of the slope would be zero.
Represent the following situation using Venn diagrams and answer the questions that follow. In a survey of 100 students in the institute language studies at oxford university, the number of students studying various languages in last four years were found to be : Italian 28, German 30,French 42,Italian and French 10, Italian and German 8, German and French 5, all the three languages 3. (1 point each) a. Venn diagram. b. How many students are studying none of the languages? c. How many students had French as their only language? d. How many students are studying at least one of the languages?
There are 80 students studying at least one language
The Venn DiagramThe given parameters are:
Italian = 28German = 30French = 42Italian and French = 10Italian and German = 8German and French = 5Three languages = 3Using the above parameters, we have:
German and French only = 5 - 3 = 2
Italian and French only = 10 - 3 = 7
Italian and German only = 8 - 3 = 5
French only = 42 - 7 - 2 - 3 = 30
German only = 30 - 2 - 5 - 3 = 20
Italian only = 28 - 7 - 5 - 3 = 13
See attachment for the Venn diagram
Students studying none of the languagesThis is calculated as:
None + At least one = Total
Using the Venn diagram, we have:
None + (3 + 2 + 5 + 7 + 13 + 20 + 30) = 100
This gives
None + 80 = 100
Subtract 80 from both sides
None = 20
Hence, there are 20 students studying none of the languages
Students studying French onlyThis is calculated as
French only = French - French and Italian - French and German + All three
So, we have:
French only = 42 - 10 - 5 + 3
Evaluate
French only = 30
Hence, there are 30 students studying French only
Students studying at least oneIn (b), we have:
None + At least one = Total ⇒ None + (3 + 2 + 5 + 7 + 13 + 20 + 30) = 100
By comparing both equations, we have
At least one = 3 + 2 + 5 + 7 + 13 + 20 + 30
This gives
At least one = 80
Hence, there are 80 students studying at least one language
Read more about Venn diagram at:
https://brainly.com/question/4910584
#SPJ1
AHAISNSHKWSN HELP PLEASEEE
Answer:
best answer is c. (2,3),(4,4),(6,5),(8,6)
Step-by-step explanation:
multiply x and y components 2*3,4*4,6*5,8*6
The diagram is supposed to be used for both question 7 and 8. WORTH 30 POINTS.
7. D. Arc JK = 124°
8. Applying the angle of intersecting chords theorem, m∠1 = 115°.
What is the Angle of Intersecting Chords Theorem?The angle of intersecting chords theorem states that the angle (∠1) formed by two chords in a circle, equals half of the sum of the intercepted arcs (arcs ML and JK).
Arc JMK = 2(118) = 236° [inscribed angle theorem]
Arc JK = 360 - arc JMK = 360 - 236
Arc JK = 124°
Arc ML = 236 - 70 - 60 = 106°.
m∠1 = 1/2(arc JK + arc ML)
m∠1 = 1/2(124 + 106)
m∠1 = 115°.
Learn more about the angle of intersecting chords theorem on:
https://brainly.com/question/23732231
#SPJ1
(-2) * n * (8) * n * (-n)
Answer:
16[tex]n^{3}[/tex]
Step-by-step explanation:
we evaluate from left side to right side
so -2*n =-2n
-2n *8 = -16n
-16n * n =-16n^2
-16 n * -n =16 n^3
hope this helps
What is the lateral surface area of the cone?
A cone with diameter 18 centimeters, height of 12 centimeters, and slant height of 15 centimeters.
L A = pi r l
108 pi centimeters squared
135 pi centimeters squared
180 pi centimeters squared
270 pi centimeters squared
Answer:
135 pi centimeters squared
Step-by-step explanation:
Hello!
where la is lateral surface area
[tex]first \: the \: formula \: for \: the \: lateral \: surface \: are \: of \: cone \: is \\ la = \pi \times r \times l \\ where \: r = radius \\ l = slant \: height \\ therefore.first \: find \: the \: radius(r) = \frac{d}{2} \\ r = \frac{18cm}{2} = 9cm \\ so \: as \: we \: have \: the \: radius \: we \: can \: solve \: for \: the \: la \\ la = \pi \times r \times l \\ la = \pi \times (9cm) \times (15cm) \\ la = 135\pi \: cm {}^{2} [/tex]
Find a12 given the geometric sequence 4, 8, 16, 32, ...
A. 32,768
OB. 8192
OC. 16,384
D. 4096
Reset Selection
The twelfth element of the geometric sequence is equal to 4,096. (Correct choice: D)
How to find a determined element of a geometric sequence by exponential formulae
Sequences are series of elements generated according to at least one condition, usually equations. geometric sequences are generated according to a exponential formulas, whose form and characteristics are described below:
f(n) = a · bⁿ ⁻ ¹ (1)
Where:
a - First element of geometric sequenceb - Common ratio of the geometric sequencen - Element index within the geometric sequenceIf we know that a = 4, b = 2 and n = 12, then the twelfth element of the geometric sequence from the statement is:
f(12) = 4 · 2¹² ⁻ ¹
f(12) = 4 · 2¹¹
f(12) = 4 · 2,048
f(12) = 4,096
The twelfth element of the geometric sequence is equal to 4,096. (Correct choice: D)
To learn more on geometric sequences: https://brainly.com/question/4617980
#SPJ1