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Fed [463]
2 years ago
6

The vertices of a triangle are A(2,5), B(1, 2), and C(3, 1). Find the coordinates of the image after a dilation with respect

Mathematics
1 answer:
Dmitry_Shevchenko [17]2 years ago
7 0

The coordinates of the image after a dilation with respect to the origin is A'' (2,10), B" (0,4), C" (4,2) .

<h3>How does dilation work?</h3>

Dilation of a figure will leave its sides get scaled (multiplied) by same number. That number is called the scale factor of that dilation.

Its also called scaling of a figure, but due to the involvement of coordinates, it involves a center of a dilation, which is like a pinned point that stays at the same place after dilation.

Its like we enlarge or shorten the size of the figure (or keep it same, when scale factor = 1).

The vertices of a triangle are A(2,5), B(1, 2), and C(3, 1).

A' = 2(2.5) = (4,10)

B' = 2(1,2) = (2,4)

C' = 2(3,1) = (6,2)

Translation of 2 units left means change in x

A'' = (4-2,10) = (2,10)

B" = (2-2,4) = (0,4)

C" = (6-2,2) = (4,2)

Translation of 1 units up means change in y

Learn more about vertices ;

brainly.com/question/27886655

#SPJ1

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Help me solve this I wil give brainliest and 40 points
Verizon [17]

Answer:

Slope: -\dfrac{1}{2}

Equation: y=-\dfrac{1}{2}x+8

Step-by-step explanation:

The line of the best fit passes through the points (0,8) and (4,6).

If the line passes through the points (x_1,y_1) and (x_2,y_2) then the slope of the line is

\dfrac{y_2-y_1}{x_2-x_1}

Hence, the slope of the line of the best fit is

\dfrac{6-8}{4-0}=\dfrac{-2}{4}=-\dfrac{1}{2}

The equation of the line is

y=mx+b,

where m is the slope and b is y-intercept, so the equation of the line of the best fit is

y=-\dfrac{1}{2}x+8

4 0
3 years ago
A square has a perimeter of 40 m what is the length of each side
zubka84 [21]

Answer:

10m

Step-by-step explanation:

<u>Perimeter</u> means adding up all of the sides of a shape.

One property of a square is that <u>all lengths of a square are the same</u>.

We also know squares have <u>4 sides</u>.

<u />

Lets set up an expression to solve the length for each side with variable S representing the length of a side:

4 * S = 40

Divide each side by 4:

S = 10

Therefore, each side of the square has a length 10m

<u />

7 0
1 year ago
Find the Mean Absolute Deviation.<br> 12<br> 5<br> 7<br> 8<br> 15<br> 15<br> 2<br> 8
patriot [66]
The mean would be 7 I think I am not sure
8 0
3 years ago
Celia bought a bag of 1212 goldfish for \$3$3. What is the cost of 11 goldfish?
Anvisha [2.4K]
$2.75
it would most likely be 4 goldfish for $1
7 0
3 years ago
Kathi and Robert Hawn had a pottery stand at the annual Skippack Craft Fair. They sold some of their pottery at the original pri
grigory [225]

Answer:27 pieces were sold at the original price.

63 pieces were sold at the new price

Step-by-step explanation:

Let x represent the number of pieces of pottery that was sold at the original price.

Let y represent the number of pieces of pottery that was sold at the new price.

They sold some of their pottery at the original price of​ $9.50 for each​ piece. This means that the amount that they got from selling x pieces of pottery at the original price would be 9.5x

They later decreased the price of each piece by​ $2. This means that the new price was 9.5 - 2 = $7.5

This means that the amount that they got from selling x pieces of pottery at the new price would be 7.5y

If they sold all 90 pieces and took in ​$729​, then the equations are

x + y = 90

9.5x + 7.5y = 729 - - - - - - - - - -1

Substituting x = 90 - y into equation 1, it becomes

9.5(90 - y) + 7.5y = 729

855 - 9.5y + 7.5y = 729

- 9.5y + 7.5y = 729 - 855

- 2y = - 126

y = - 126/- 2 = 63

Substituting y = 63 into x = 90 - y, it becomes

x = 90 - 63 = 27

6 0
3 years ago
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