Triangle ABC is dilated to create triangle A’B’C’ using point O as the center of dilation. What is the scale factor of the dilation?
1/3
3
4
1/4
Answers
Answer: 4
Step-by-step explanation: a is three units away from o and a’ is 9 units away from o. you add 9+3 to get the total distance and divide that number by 3 to get the scale factor. 12/3=4
The scale factor for the given dilation is 3
What is Dilation?Dilation is a transformation of an object which changes its size. if the dilated image is larger then it is called enlargement. If the dilated image is smaller it is called reduction.
If the dilation has the origin as the center of dilation, we can find points on the image formed by dilation by multiplying the coordinates of the original geometric object like triangle multiplying by the scale factor. For scale factor k, the transformation of the dilation is written as : (x, y) → (k x, k y).
The scale factor ,k = coordinate of image / coordinate of original
Given that Triangle ABC is dilated to create triangle A’B’C’ using point O as the center of dilation as shown in the figure
Scale Factor = coordinate of image / coordinate of original
= OA' / OA = 9/3 = 3
Therefore, the scale factor for the given dilation is 3.
Also, Learn more about dilation from the link given below:
https://brainly.com/question/17062921
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Related Questions
Solve for a side in right triangles
Answers
Answer:
4.50 = ?
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opposite / hypotenuse
sin 40 = ? / 7
Multiply each side by 7
7 sin 40 = ?
4.499513268 = ?
To the nearest hundredth
4.50 = ?
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!
Answers
Answer:
b
Step-by-step explanation:
The graph of x = 4 is a line
A) making an intercept 4 on x axis
B) parallel to the x-axis at a distance of 4 units from the origin
C) parallel to the y-axis at a distance of 5 minutes origin
D) making an intercept 4 on the y-axis
Answers
Answer:
a
Step-by-step explanation:
since x = 4, then the graph would be an vertical line at x = 4. Hence at intercept on x axis, y is 0 and x = 4.
Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!!!
Answers
Answer:
B.
Step-by-step explanation:
It is very possible.
Make the value of apple x and the value of orange y.
5x + 4y = 10
5x + 5y = 11
-y = -1
y = 1
x = 1.2
Now just match them up.
Yes; They should charge $1.20 for and apple and $1.00 for an orange.
Which scatter plot suggests a linear relationship between x and y?
A) I only
B) I and IV only
C) I, II and IV only
D) I,III, and IV only
Answers
Answer:
a
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
its a cuz i said so
Using the given function, select the correct set of ordered pairs for the following domain values.
{-12, -3, 0, 3, 12}
OA. {(-12, -18), (-3, -3), (0,2), (3,7), (12,22)}
OB. {-18, -12), (-3, -3), (2,0), (7,3), (22, 12)
oc. {-12, -3), (-3, -3), (0, -3), (3, 3), (12, 6)}
OD. {{-43, -12), (-3, -3), 4,0), (0, 3), (6,12)}
Answers
Answer:
The first set (A)
Step-by-step explanation:
The five inputs are {-12, -3, 0, 3, 12}. The first set (A) includes all five of these inputs and a single output for each of them: {(-12, -18), (-3, -3), (0, 2), (3, 7), (12, 22).
Using the given function, the correct set of ordered pairs for the following domain values is A; {(-12, -18), (-3, -3), (0, 2), (3, 7), (12, 22).
What is the domain and range of the function?The domain of a function is defined as the set of all the possible input values that are valid for the given function. The range of a function is defined as the set of all the possible output values that are valid for the given function.
The five inputs are given as;
{-12, -3, 0, 3, 12}
WE can see that first set (A) includes all five of these inputs and a single output for each of them;
{(-12, -18), (-3, -3), (0, 2), (3, 7), (12, 22).
Therefore, Using the given function, the correct set of ordered pairs for the following domain values is A; {(-12, -18), (-3, -3), (0, 2), (3, 7), (12, 22).
Learn more about the domain and range of the function:
brainly.com/question/2264373
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Jessi sold half her comic books. Then, she bought 9 more. She now has 11 total. How many did she begin with?
Answers
Answer:X+9=11
9-9|11-9
X=2
Step-by-step explanation:When the beginning number is unknown we use “x” to be a place holder. If she got 9 more books we would add 9 to the equation. Finally if 11 is the total, the end of the equation would equal 11.
If a dilation is applied to a triangle, then the image must be
O a congruent triangle.
O a triangle that is flipped over a line of symmetry.
a triangle that is rotated about a given point
O a larger or smaller triangle.
Answers
Answer: it would be a congruent triangle
Step-by-step explanation:
i have no idea but i got it right :)
The question is above in the photo I could really use the help
Answers
Answer:
2nd degree trinomial
Because they have three terms ( x ,y and Z ) and highest degree is 2.
Can someone please answer this?
Answers
Answer:
x=-1
Step-by-step explanation:
-4x=y+8
-8-4x=y
7x-2y=1
7x-2(-8-4x)=1
7x+16+8x=1
15×+16=1
15x=-15
x=-1
Can someone please help me I have to turn this in before 11:59pm
Answers
Answer:
[tex]x = \dfrac{147}{13}[/tex]
Step-by-step explanation:
Please refer to attached for labeling of the diagram:
We have 2 triangles here in the figure:
[tex]\triangle ABC \text{ and }\triangle BDE[/tex].
1. [tex]\angle B[/tex] is common to both the triangles.
Sides AC || DE (parallel sides):
So, Corresponding angles will be equal
2. [tex]\angle A = \angle D[/tex]
3. [tex]\angle E = \angle C[/tex]
So, [tex]\triangle ABC \text{ and }\triangle BDE[/tex] are similar to each other.
Similar triangles have ratio of their sides as equal.
So, [tex]AB : BD = BC : BE[/tex]
[tex]\Rightarrow \dfrac{6+7}{6} = \dfrac{21}{21-x}\\\Rightarrow \dfrac{13}{6} = \dfrac{21}{21-x}\\\Rightarrow 13 \times (21-x) = 21 \times 6\\\Rightarrow 13x = 7 \times 21\\\Rightarrow x = \dfrac{147}{13}[/tex]
Hence, [tex]x = \dfrac{147}{13}[/tex]
When evaluating (3.25x10^5)(1.82x10^3) what will be the exponent of 10 in the product
Answers
Answer: Try 8 or C because you either add or subtract the exponents but 2 isn’t there so try 8
Step-by-step explanation:
Anyone know this one ?
Answers
tan is (opposite)/(adjacent). In the triangle you can see that the opposite and adjacent sides are the same length, because it's a 45-45-90 triangle. So, something divided by the same thing will give 1.
Please write an equation for line E. Line E goes across the top quadrants.
Answers
Answer:
y=4
Step-by-step explanation:
Line E ( that is a cursive l) is a horizontal line
Horizontal lines are of the form y=
The y coordinate for the orange line is 4
y=4
Answer:
y = 4
Step-by-step explanation:
horizontal lines are written as y =
y coordinate is 4
So the eqn is y = 4
Hope this helps, and please mark me brainliest if it does!
x ( y - x y ), where x= -5 and y= -2
Answers
Answer:
60
Step-by-step explanation:
-5(-2-10)
according to pemdas...solve parenthesis first
-5(-12)
= 60
Answer:
60
Step-by-step explanation:
x ( y - x y )
where x= -5 and y= -2
----------
-5(-2-(-5)(-2))=-5(-2-10)= -5(-12)= 60
The point (-3,2) lies on a circle. What is the length of the radius of the circle of the center is located at (-1,5)
Answers
just kidding its quadrant 3 but the negative number y so it would have to be positive x so you would or wouldnt have to move it
Scientific notation
1.25 * 10^7 + 63,000,000
Answers
Answer:
( 1. 25 * 10 ^ 7 ) + ( 63 * 10 ^ 6 ) = 75 .5 *10^6
Step-by-step explanation:
hope it helps you !!
in triangle PQR, the measure of angle P=53degrees, PQ=7.4, and PR=9.6. what is the measure of angle R to the nearest degree?
a. 61 degrees
b. 49 degrees
c. 42 degrees
d. 35 degrees
Answers
solve 8x+6=5(x+1)+2
please help me with this please
Answers
Answer: x = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
If we distribute the parenthesis in the equation, we get: 8x + 6 = 5x + 5 + 2If we simplify that, we get: 8x + 6 = 5x + 7If we subtract some of the values, we get: 3x = 1If we simplify that, we get: x = [tex]\frac{1}{3}[/tex] Therefore, x = [tex]\frac{1}{3}[/tex] is the answer.Explain what is similar and what is different about the two expressions
3x? and (3x)2, when x = =
3
Answers
what quadratic function f whose only zero is -6
Answers
Answer:
y=(x+6)^2
Step-by-step explanation:
Bc, the root has to be only -6
there fore x=-6
PLEASE ANSWER ASAP!!
Answers
Answer:
5) (2,-3) 6) (-3,-3) 7) (-5,-3)
Step-by-step explanation:
increasing it starts to rise
decreasing drops
constant level
hope this helps
C = 0.5n + 5
C=cost (£)
n=number of miles travelled
Calculate the cost of a journey that is 25 miles.
Show your working out and write the answer in the box below.
Answers
Answer:
cost of journey of 25 miles = £ 17.5
Step-by-step explanation:
Base on the equation the cost of the journey can be represented as
C = 0.5n + 5
where
C = cost in £
n = number miles covered
To calculate the cost of a journey that is 25 miles we have to insert the value of n as 25 in the equation. Therefore,
C = 0.5n + 5
n = 25
C = 0.5(25) + 5
C = 12.5 + 5
C = £ 17.5
cost of journey of 25 miles = £ 17.5
Find the equation of the line in slope-intercept form containing the points (6, -1) and (-3, 2). y = - 1/3x + 1 y = -3 x -1 y = 9 x -1 y = 1/3x -1
Answers
Answer:
y = - 1/3 x + 1
Step-by-step explanation:
(6, -1) and (-3, 2)
Slope = (y2 - y1)/(x2 - x1) = (2 - (-1))/(-3-6) = 3/(-9) = - (1/3)
y-int form is y = ma +b
y = - 1/3 x +b
(-3, 2)
2 = (- 1/3)*(- 3)+ b
2 = 1 + b
b = 1
y = - 1/3 x + 1
GUYS, PLEASE HELP!!! I REALLY NEED IT NOW!!!!
The area of a square is (16x2 − 8x + 1) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work.
Answers
Answer:
4x - 1
Step-by-step explanation:
Given the area
16x² - 8x + 1
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 16 × 1 = 16 and sum = - 8
The factors are - 4 and - 4
Use these factors to split the x- term
16x² - 4x - 4x + 1 ( factor the first/second and third/fourth terms )
= 4x(4x - 1) - 1(4x - 1) ← factor out (4x - 1) from each term
= (4x - 1)(4x - 1)
= (4x - 1)²
The area of a square = s² ( where s is the length of the side )
s² = (4x - 1)², thus
s = 4x - 1 ← length of side of square
AC=A, C, equals
Round your answer to the nearest hundredth.
Answers
Answer:
We have the equation A*C = A
Now, as both sides of the equality are the same thing, we can do the same operation to both sides and the equality will remain true.
We can divide both sides by A and get:
(A*C)/A = A/A
C = 1
So here we finded the value of A.
If A and C are matrices, then C is the identity matrix.
Tamara bought a sweater that was 30 percent off the original price.the original price of the sweater was $80.How much did Tamara pay
Answers
Answer:
24
Step-by-step explanation:
Multiply the Price Percentage by the Original Price
Multiply the original price and the percentage that represents the sale price; the result is the sale price of the blazer in dollars: $90 × 0.7 = $63. So if the blazer is on sale for 30 percent off, you'll pay the remaining 70 percent of the price, which is $63.
Amelia went to an amusement park with $45 to spend. She bought lunch for $10.25 and paid $5.00 for each ride. What is the greatest number of rides Amelia could ride?
Answers
Answer:
Your answer is $34.75
Step-by-step explanation:
plz mark me brainliest
Answer:
6
Step-by-step explanation:
1. If 100% = 80, than 75% = ?
Answers
Answer:
60
Step-by-step explanation:
100% = 80,
75% = 80/100*75= 60
Step-by-step explanation:
100% = 80
/ 100
1% = 0.8
x75
75% = 60
? = 60
If triangle ABC was rotated 90 degrees counterclockwise about the origin, what would the ordered pairs be for B'''?
Answers
Answer:
Point B is [tex](-1,2)[/tex]
Step-by-step explanation:
Given: A triangle ABC was rotated 90 degrees counterclockwise
To find: coordinates of the point B
Solution:
A triangle is three - dimensional figure that has three sides, three vertices and three angles.
Counterclockwise refers to the direction opposite to the direction of movement of hands of the clock.
As triangle ABC was rotated 90 degrees counterclockwise about the origin, point B is [tex](-1,2)[/tex]
