A ratio remains the same if both antecedent and consequent are multiplied or divided by the same non-zero number.
How to find the missing number?Step by step explanation:
i.e., a/b = pa/pb = q a/q b ,p ,q ≠0
From the given table we can see that:
For the second column
Since, 6*0.5=3
So, multiply 10 by same number
10*0.5=5
For third column:
since 24=10*5
So, multiply 6 by same number
5*6=30
Hence, the missing values are 30,5
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someone please help, fast!!
Answer:
b) m = -2 and b=10 and c) m= 2/5 and b=4
Step-by-step explanation:
For b, we know that the b value (y-intercept) is 10 because it is the y value when x= 0, which is shown on the table as 10.
Next, to find the slope (m-value) we know that 10 gets added to the y value so then x(2) + 10 = 6
subtract 10 from both sides and you get 2x = -4
divide both sides by 2 to get x= -2 or our m-value (slope)
-------------------------------------------------------------------------------------------------------------
For c, we know that the graph intercepts the y-axis at 4, so that is our b value.
We know know: y= m(x) + 4
To find the slope, we use the formula: rise/run
When the graph goes up 6 to get to y=10, the x value goes 15 across
Rise = 6 ; Run = 15
6/15 = 2/5
Therefore, the m value is 2/5
What is the measure of x?
4
9
X=[?]vL
Give your answer in simplest form.
4 2 add y 2 root that
it's pretty easy and thanks for the high points ur welcome ur in the matrix kid
Prove the segments joining the midpoint of consecutive sides of an isosceles trapezoid form a rhombus. Find the slope of ef and gd.
The slope of ef and gd can be found by using the formula: slope = (y2 - y1) / (x2 - x1) where ef = (x1, y1) and gd = (x2, y2) are the coordinates of the points e and g.
Isosceles Trapezoid Form A RhombusA rhombus is a quadrilateral with all sides equal in length. To prove that the segments joining the midpoint of consecutive sides of an isosceles trapezoid form a rhombus, we can use the following properties of an isosceles trapezoid:- The two bases (the parallel sides) are congruent.
- The two legs (the non-parallel sides) are congruent.
- The diagonals of the trapezoid bisect each other.
Using these properties, we can see that:- The midpoints of the legs are congruent, since the legs are congruent.
- The midpoints of the bases are congruent, since the bases are congruent.
- The segments joining the midpoints of the legs and the bases are congruent, since they are both the same distance from the midpoint of the bisected diagonal.
Therefore, the segments joining the midpoints of the sides of an isosceles trapezoid are congruent, and since they are congruent they form a rhombus.The slope of ef and gd can be found by using the formula: slope = (y2 - y1) / (x2 - x1) where ef = (x1, y1) and gd = (x2, y2) are the coordinates of the points e and g.
Since the slope of the line perpendicular to the diagonals of a rhombus is always opposite reciprocal, the slope of ef and gd are opposite reciprocal, which means:the slope of ef = -1/slope of gd.
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Brianna had a garden box In her back
yard that is 8 feet by 12 feet. This
summer she decides that it is too big
and wants to reduce it by a scale
factor of ½. Find the area of her new
garden.
Brianna wants to reduce it by a scale factor of 1/2, the area of the new garden is 48 ft².
What is meant by area of a rectangle?The territory a rectangle occupies inside its four sides or limits is known as its area. A rectangle's sides determine its area. In essence, the length and breadth of the rectangle multiplied together gives the area of the rectangle.
The amount of space occupied by a flat (2-D) surface or an object's shape is known as its area. Draw a square on a piece of paper using a pencil. A 2-D figure, that is. The term "Area" refers to the area that a shape occupies on paper.
The formula for calculate the area of a rectangle is:
area of a rectangle = length × width
Where "I" is the length and " w " is the width.
The dimensions of the garden box are:
l = 12 ft
w = 8 ft
Therefore, its area is:
A = (12 ft)(8 ft)
A = 96 ft²
Since Brianna wants to reduce it by a scale factor of 1/2, the area of the new garden is:
Area of new garden = 1/2(96 ft²)
Area of new garden = 48 ft²
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Y=3/4x+3 I’m so confused on how to graph the and solve it please helpp
In Y=3/4x+3 the Slope is 3/4, the Y-intercept is (0,-3) and the usual form is 3x4y=12. , which does not have a conic section. as opposed to asymptotes.
How to draw a graph ?
Use the slope and y-intercept, or two points, to graph the line. 3 / 4 of a slope; y-intercept: (0,-3) Write in formal language. 3 x-4 y=12 Discover the negative reciprocal of the original line's slope.
[tex]$$m_{\text {perpendicular }}=-\frac{4}{3}$$[/tex]
In order to identify the periods during which the equation is increasing or decreasing, graph it. Continued Growth There are no asymptotes since the equation Y=3/4x+3 is not a reasonable expression. There are no asymptotes. Any conic section's form is not compatible with the equation. Not a Conic Section.This subject can't be explored any further. Please double-check the supplied phrase or select a different subject.
[tex]$$y={3}/{4} x-3$$[/tex][tex]$$y={3}/{4} x+3$$[/tex]
Identify the y-intercept = b , y = mx + b. Plot the y-intercept. The focus will be (0, b). Calculate the slope=m of the equation y = mx + b. Create a single step utilizing the rise and run from the slope. Connect those two places with your line.
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At a new Italian restaurant, you order a salad for $3.50 and baked ziti for $9.25. If you want to leave a 15% tip, how much money should you leave for the waiter as tip?
Answer:
The total cost of the salad and baked ziti is $3.50 + $9.25 = $12.75
To calculate the tip, you need to multiply the total cost by the tip percentage (expressed as a decimal)
Tip = $12.75 x 0.15 = $1.91
So you should leave $1.91 as a tip for the waiter.
Step-by-step explanation:
Right triangle ABC has an area of 16 cm². Segment AB has a length of 8 cm, and segment CA is the hypotenuse. What is the distance between C and A?
Therefore , the solution of the given problem of triangle comes out to be CA = 8.94 cm .
A triangle is what exactly?An triangle is a polygon since it has four or more parts. It is a simple geometric shape. A square having angles A, B, and C is referred to as a triangle ABC. When the sides are not collinear, Euclidean geometry generates a single plane and square. If a triangle has three sides and three corners, it is a polygon. The corners of a triangle are where its three sides meet. The sum of the angles in a triangle is 180 degrees.
Here,
Given : A right triangle ,
Area =16 cm squarea
=> 1/2 * b * h = 16
=> 8*h = 32
= > h =4
=> 8²+ 4²= CA²
=> CA² = 64 + 16
=> CA² = 80
=> CA = √80
=>CA = 8.94 cm
Therefore , the solution of the given problem of triangle comes out to be CA = 8.94 cm .
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Where is (-4,-2.5) in the easiest way to put it
(-4, -2.5) represents a point on the cartesian coordinate system having -4 units on the x axis and -2.5 units on the y axis
What is cartesian coordinate system?A Cartesian coordinate system in a plane is a system of coordinates that identifies each point uniquely by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular oriented lines, measured in the same unit of length.
The two fixed perpendicular oriented lines are
x axisy axisThey are represented by a pair of numerical coordinates called ordered pair. The ordered pair are arranged such that the x values are first then a comma and the y values.
This is written as (x, y) hence for (-4, -2.5) x = -4 and y = -2.5
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George wants to participate in a triathlon competition where he has to swim, cycle and run some distances. The cycling distance is 4 times the running distance. The swimming distance is 5.5 miles less than the running distance, and is 24 miles less than the cycling distance. Find the total distance of the race.
Answer:total distance is 14
Step-by-step explanation:because 4 x 5.5 miles -14
If the area of an isosceles right triangle is 72, find the length of the hypotenuse.
Answer: The length of a hypotenuse can be found if you use the Pythagorean theorem and by doing that, the length of the square will equal the same squares of the lengths of the other two sides.
Step-by-step explanation: I am so sorry i tried to paraphrase so pls dont be mad at me. ( i am not good at it but atleast i tried, no hate pls)
-♥ Roxy ♥
The graph below shows the relationship between the number of hours Elisa works and the total amount of money in her bank account. Which equation can be used to find the amount of money in Elisa’s bank account (y) when she works for (x) hours?
If he works 14 hours then he will earn the amount of $105 which is true and if he works 16 hours then he will earn $120 which is true.
What is the Linear equation?You should be aware that a linear equation is defined as an equation in which the highest power of the variable is one.
The given graph represents Elisa's work and the amount of money he earns at his job.
According to the given graph,
We can see two points are (4, 30) and (8, 60)
The linear equation will be
⇒ y - 30 = (60-30)/(8-4)(x-4)
⇒ y - 30 = (30)/(4)(x-4)
⇒ y - 30 = 7.5(x-4)
⇒ y = 7.5x - 30 + 30
⇒ y = 7.5x
Elisa's work = 14 hours then we verify the response by substituting x = 14 in the above equation,
⇒ y = 7.5(14)
⇒ y = 105
Thus, if he works 14 hours then he will earn $105
Elisa's work = 16 hours then we verify the response by substituting x = 16 in the above equation,
⇒ y = 7.5(16)
⇒ y = 120
Thus, if he works 16 hours then he will earn $120.
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Correct question:
The graph below shows the relationship between the number of hours
Cody works and the amount of money he earns at his job. Which of the
following statements is not true about the relationship?
100
90
80
70
60
MONEY EARNED
50
40
30
20
10
1
2
3
4
5
6
7
8 9 10
HOURS WORKED
HELP PLS RIGJT NOW solve systems of linear Equations
Answer: (5, -2)
Step-by-step explanation:
They give you two equations with two variables. You can solve this using elimination or substitution. However, it seems as though the problem wants you to do it through elimination. On the right, you have the equation
6x + 10y = 10
+ -6x - 24y = 18
After add these equations, you get -14y = 28. By dividing both sides by -14, you get y = -2. You can plug y = -2 back into either one of the original equations, and solve for x.
x = 5.
So your answer is (5, -2)
Help this gemotry work help help due today
According to the isosceles triangle theorem, if two sides of a triangle are congruent, the angles across from those sides are likewise congruent.
What is Isosceles Triangle Theorem?According to the isosceles triangle theorem, if two sides of a triangle are congruent, the angles across from those sides are likewise congruent.
∆ABC is an isosceles triangle with AB = AC.
Construction: Altitude AD from vertex A to the side BC.
Explanation To Prove: ∠B = ∠C.Proof: We know, that the altitude of an isosceles triangle from the vertex is the perpendicular bisector of the third side. Thus, we can conclude that,
∠ADB = ∠ADC = 90º ----------- (1)
BD = DC ---------- (2)
Consider ∆ADB and ∆ADC
AB = AC [Given]
AD = AD [common side]
BD = DC [From equation (2)]
Thus, by SSS congruence we can say that,
∆ADB ≅ ∆ADC
By CPCT, ∠B = ∠C.
Hence, we have proved that if two sides of a triangle are congruent, then the angles opposite to the congruent sides are equal.
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How many types of coordinate system are in Revit?
There are three types of coordinate systems in Revit: Project Coordinates, Shared Coordinates, and Site Coordinates.
There are three types of coordinate systems in Revit: Project Coordinates, Shared Coordinates, and Site Coordinates. Project Coordinates are the default coordinates used in Revit and are based on the project origin. This is the origin point of the model and all elements in the project are positioned relative to this point.
Shared Coordinates are used to link multiple projects together. This origin point is determined by a shared coordinate system, which is based on the origin of the shared coordinate system.
Site Coordinates are used to set the project origin in the real-world location of a site. This location is determined by the user and the coordinate values can be set in the Site Location dialog box. All elements in the project are then positioned relative to this real-world site location.
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What triangles are similar to ABC
A. FED only
B. HIG only
C. Both
D. Neither
Do sides 10 cm 24cm 26cm from a right angled triangle justify?
The sides 10 cm, 24 cm and 26 cm can form a right-angled triangle. The Pythagorean theorem can be used to verify this.
From Pythagorean theorem, it can be said that, the square of hypotenuse side is equal to the sum of other two sides of a right angled triangle.
Let AB, CA and BC be the sides of a right triangle. CA is the hypotenuse side, AB and BC are the base and height sides of the right triangle. The equation can then be expressed as,
CA² = AB² + BC²
Now, let us check this rule for the above given sides of the triangle.
Longest side² = Sum of squares of other two sides
26² = 24² + 10²
676 = 576 + 100
Thus, the sides 10 cm, 24 cm and 26 cm can form a right-angled triangle.
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Six familie went to the food fetival. Each family ha 2 adult and 4 childern. The entry fee for each child ticket cot $4, and an adult ticket cot $8. What would be the total cot of the fetival ticket?
The total cost of the festival tickets for 6 families with 2 adults and 4 children would be $192.
We can start by using the following equation to find the total cost of the child tickets:
Child tickets cost = Number of child tickets x Cost per child ticket
In this case, the number of child tickets is 4 children/family x 6 families = 24 children
The cost per child ticket is $4.
So, the total cost of the child tickets would be:
24 children x $4/child = $96
Similarly, we can find the total cost of the adult tickets:
Adult tickets cost = Number of adult tickets x Cost per adult ticket
In this case, the number of adult tickets is 2 adults/family x 6 families = 12 adults
The cost per adult ticket is $8.
So, the total cost of the adult tickets would be:
12 adults x $8/adult = $96
To find the total cost of the festival tickets, we can add the cost of the child tickets and the cost of the adult tickets:
Total cost = Child tickets cost + Adult tickets cost
$96 + $96 = $192
So, the total cost of the festival tickets for 6 families with 2 adults and 4 children would be $192.
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Kyle has a storage box that is 2 ft. long, 3 ft. high, and has a volume of
12
ft.
3
12
ft.
3
. Myla has a storage box that is 4 ft. high, 2 ft. long, and has a volume of
16
ft.
3
16
ft.
3
. What are the widths of Kyle and Myla's boxes? Explain how you know.
The widths of Kyle and Myla's boxes are both 2ft respectively.
How to calculate the width of the storage boxes?For Kyle;
The volume of his storage box = 12ft³
The length of the box = 2ft
The height of the box = 3ft
The width of the box = ?
But volume of a box = length×width×height
12 = 2×3×width
make width the subject of formula;
Width = 12/6 = 2 ft
For Myla;
The volume of his storage box = 16ft³
The length of the box = 2ft
The height of the box = 4ft
The width of the box = ?
But volume of a box = length×width×height
16= 2×4×width
make width the subject of formula;
Width = 16/8 = 2 ft
Therefore, the width of the both boxes are the same in measurement.
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Can somebody help me?
An picture is warped to fit a target brain by applying a coordinate transformation on the source image. The degree of coordinate transformation difficulty depends on the spatial normalization's regional scope.
Why do we need coordinate transformation?An essential method for converting data between reference systems uses a set of control points that are measured in both systems, which is known as a coordinate transformation. To pinpoint the location of robots, sensors, and other items in robotics applications, a variety of different coordinate systems can be used. Position and orientation data can typically be used to specify where an object is located in 3-D space.
The rotation matrix is used to transform coordinate systems with various orientations. This changes the components of any vector with regard to a coordinate frame into the components of a frame that has been rotated with respect to the original frame. The geographic coordinate system of the layers is calculated to be converted to match the geographic coordinate system in the transformation.
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What is a 2 3 ratio file?
A 2:3 ratio file refers to a digital image file with a width-to-height aspect ratio of 2:3.
This means that for every 2 units of width, the file has 3 units of height. This ratio is commonly used in photography and results in images that are similar in shape to standard prints.
This ratio is commonly used in digital photography, and it is a standard aspect ratio for many camera sensors, which results in a proportion that is similar to standard prints.
This ratio is also used in other fields such as video and graphic design. The 2:3 ratio is a common aspect ratio for digital cameras and is also used for printing photographs in standard sizes, such as 4x6, 5x7, and 8x10 inches. This ratio can also be represented as 1.5:1 in decimal form.
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Are all lines of longitude measured in degrees north and south of the prime meridian?
No , all lines of longitude are not measured in degrees north and south of the prime meridian
Lines of longitude run north to south and measure places expressed in degrees east or west of the Prime Meridian.The basic work of the longitude lines is to show the distance at which a place lies, east or west of the Prime Meridian.
Longitude is a measurement of location east or west of the prime meridian at Greenwich, London, England, the specially designated imaginary north-south line that passes through both geographic poles and Greenwich. Longitude is measured 180° both east and west of the prime meridian.
Any location's distance from the equator may be determined using its latitude, which is based on its degree. We can locate any point on Earth using longitude and latitude. The GPS or Global Positioning System uses these coordinates.
The grid system that enables us to locate absolute or precise places on the surface of the Earth is made up of latitude and longitude. Latitude and longitude can be used to pinpoint certain locations. Landmark identification also benefits from knowledge of latitude and longitude
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Maggie Ryan is pricing materials for a deck project. She notes that deck
boards are sold in standard lengths by the foot as follows: 6 feet for
$5.88, 8 feet for $8.79, 10 feet for $10.68, 12 feet for $13.43, 14 feet for
$15.65, 16 feet for $17.88, 18 feet for $20.99, and 20 feet for $24.99. What
is the price per foot for each length?
According to the notes of Maggie the price for per foot length of deck division board is -6 feet for $5.88 = $0.98,8 feet for $8.79 = $1.09 ,10 feet for $10.68 = $1.06 ,12 feet for $13.43 = $1.11 .
What is division?One of the four fundamental mathematical operations—the others being addition, subtraction, and multiplication—is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things.
Here,
The first record for deck board noted by Maggie is -
The length of the deck board = 6 feet
Price for 6 feet of deck board = $5.88
Use the division method -
Price for 1 feet of deck board = 5.88/6
Price per feet of deck board = $0.98
The second record for deck board noted by Maggie is -
The length of the deck board = 8 feet
Price for 6 feet of deck board = $8.79
Use the division method -
Price for 1 feet of deck board = 8.79/8
Price per feet of deck board = $1.09
The third record for deck board noted by Maggie is -
The length of the deck board = 10 feet
Price for 6 feet of deck board = $10.68
Use the division method -
Price for 1 feet of deck board = 10.68/10
Price per feet of deck board = $1.06
The fourth record for deck board noted by Maggie is -
The length of the deck board = 12 feet
Price for 6 feet of deck board = $13.43
Use the division method -
Price for 1 feet of deck board = 13.43/12
Price per feet of deck board = $1.11
The fifth record for deck board noted by Maggie is -
The length of the deck board = 14 feet
Price for 6 feet of deck board = $15.65
Use the division method -
Price for 1 feet of deck board = 15.65/14
Price per feet of deck board = $1.11
The sixth record for deck board noted by Maggie is -
The length of the deck board = 16 feet
Price for 6 feet of deck board = $17.88
Use the division method -
Price for 1 feet of deck board = 17.88/16
Price per feet of deck board = $1.11
The seventh record for deck board noted by Maggie is -
The length of the deck board = 18 feet
Price for 6 feet of deck board = $20.99
Use the division method -
Price for 1 feet of deck board = 20.99/18
Price per feet of deck board = $1.16
The eighth record for deck board noted by Maggie is -
The length of the deck board = 20 feet
Price for 6 feet of deck board = $24.99
Use the division method -
Price for 1 feet of deck board = 24.99/20
Price per feet of deck board = $1.24
Therefore, the value for deck board per foot length is $0.98, $1.09, $1.06, $1.11, $1.11, $1.11, $1.16, $1.24.
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please help
Find the value of x.
Round to the nearest tenth.
a 28
b x
22
11
x =?
c
Answer:
69.9° or 110.1°
Step-by-step explanation:
You want to know the angle opposite the side of length 22 in a triangle in which a 28° angle is opposite a side of length 11.
Law of SinesThe law of sines tells you ...
sin(B)/b = sin(A)/a
sin(x)/22 = sin(28°)/11
sin(x) = 22/11 · sin(28°)
x = arcsin(2·sin(28°)) ≈ 69.9° or 110.1°
__
Additional comment
There are generally two solutions to a Law of Sines problem in which the given angle is opposite the shorter of two given sides. The exception is when the triangle is a right triangle.
How do you make a table of values for an equation?
Prior to selecting an input value range, create the table. Replace each input value with its equivalent in the supplied equation's left-hand column.
what is function ?Mathematics encompasses the study of numbers, formulas and related structures, shapes and the spaces in which they exist, quantities and their variations, and spaces in which they exist. A function is an association between a set of inputs, each of which has an output. Simply described, a function is a relationship between inputs and outputs, where each input results in a single, distinct output. Each function has a domain and a codomain, often known as a scope. Typically, the letter f is used to denote functions (x). is the input. There are four different categories of functions. based on one-to-one functions, many-to-one functions, on functions, within functions, and one-to-one functions.
given
Prior to selecting an input value range, create the table.
Replace each input value with its equivalent in the supplied equation's left-hand column.
The output value can be found by analyzing the equation in the middle column.
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4 square miles of land is separated into sections that each have an area of 1/2 square mile
The number of sections that each have an area of 1/2 square mile will be 8.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
4 square miles of land are separated into sections that each have an area of 1/2 square mile.
Then the number of the equal section is given as,
⇒ 4 / (1/2)
⇒ 8 section
The number of sections that each have an area of 1/2 square mile will be 8.
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help me with this please and thank you
Answer:
4, 1, 2, 3
Step-by-step explanation:
let x = cost of 1 bar
cost of 75 bars = $65
cost of one bar => 75/75 = $65/75
x = $0.87
Answer:
4. c = $0.97 rounded to the nearest hundredth
1. Let c = cost of one bar
[tex]\textsf{2.} \quad 75c=\$65[/tex]
[tex]\textsf{3.} \quad \dfrac{75}{75}c=\dfrac{\$65}{75}[/tex]
Step-by-step explanation:
Step 1
Define the variable:
Let c = cost of one barStep 2
Given that one box of 75 Toblerone chocolate bars costs $65:
[tex]75c=\$65[/tex]Step 3
To find the cost of one Toblerone chocolate bar, divide both sides of the equation by 75:
[tex]\dfrac{75}{75}c=\dfrac{\$65}{75}[/tex]Step 4
Simplify both sides of the equation and round the solution to the nearest hundredth:
c = $0.97 rounded to the nearest hundredthHow does a graph show a functional relationship?
A graph can demonstrate a functional relationship by showing a line or curve that changes with the independent variable, indicating a direct relationship between the two variables.
A graph can show a functional relationship by showing a line or curve that consistently increases or decreases when the independent variable is changed. This will show a direct relationship between the two variables, and the pattern of the line or curve will show the functional relationship that exists.
A graph can demonstrate a functional relationship by showing a line or curve that changes with the independent variable, indicating a direct relationship between the two variables.
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Suppoe you have $5000 to invet, and you want to earn $1000 imple interet in 5 year. What i the lowet interet rate that will allow you to do thi?
Answer:
4%
Step-by-step explanation:
[tex]I=Prt \\ \\ 1000=5000(r)(5) \\ \\ 1000=25000r \\ \\ r=0.04=4\%[/tex]
Find the coordinates of the vertices of the figure after the given transformation.
Dilation of 1.5
Answer:
[tex]D'(-3,-1.5), E'(0,4.5), F'(3,-3)[/tex]
Step-by-step explanation:
Assuming the dilation is centered at the origin, it is known that for a dilation of scale factor [tex]k[/tex] centered at the origin, [tex](x,y) \to (kx,ky)[/tex].
In your own words, tell me what is the solution set of the equation if the x-intercept method leads to a horizontal line that coincides with the x-axis.
The solution of the system of equations for this problem is given as follows:
(x-intercept, 0).
How to obtain the solution of the system of equations?Via graphing, the solution of the system of equations is obtained by the point of intersection of the points.
An horizontal line can be traced through the point of intersection.
This line coincides with the x-axis, hence the y-coordinate of the solution is given as follows:
y = 0.
Due to the x-intercept method, the x-coordinate of the solution is the x-intercept.
Missing InformationThe equations for this problem are not given, hence the solution is given in general terms.
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