All categories

3 years ago

Graph the image of the given triangle under a dilation with a scale factor of -3 and center of dilation (0,0).

Mathematics

2 answers:

Alenkinab [10]3 years ago

8 0

<h2>Answer with explanation:</h2>

We are given a triangle with vertices:

Let A(-3,-3) , B(0,2) and C(-2,3)

Now, the triangle is to be dilated with a scale factor of -3 and center of dilation (0,0).

This means that each of the vertices of the triangle will be transformed by using the rule:

(x,y) → (-3x,-3y)

Hence, we get:

A(-3,-3) → A'(9,9)

B(0,2) → B'(0,-6)

C(-2,3) → C'(6,-9)

Svetlanka [38]3 years ago

4 0

The points would be (9,9) , (0,-6) , (6,-9)
I hope this helps !

You might be interested in

What would the answers to these be?

amm1812

The first equation, 8x - 9y = - 23

Obtain the equation in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = ( $\frac{1}{2}$ , 3) and (x₂, y₂ ) = (- 4, - 1 )

m = $\frac{-1-3}{-4-1/2}$ = (- 4)/- $\frac{9}{2}$ = $\frac{8}{9}$

partial equation is y = $\frac{8}{9}$ x + c

to find c substitute either of the 2 points into the partial equation

using (- 4, - 1 ), then

- 1 = - $\frac{32}{9}$ + c ⇒ c = $\frac{23}{9}$

y = $\frac{8}{9}$ x + $\frac{23}{9}$ ← in slope- intercept form

the equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

rearrange the slope- intercept equation into this form

multiply through by 9

9y = 8x + 23 ( subtract 9y and 23 from both sides )

8x - 9y = - 23 in standard form

4 0

3 years ago

Find the simple interest on 3,750 in 5 years at 3% rate per annum.

GaryK [48]

Answer:

562.5

Step-by-step explanation:

i=?

p=3750

r=3*1/100=3/100

t=5 years

I=P*R*T

3750*5*3/100

=5625/100

=562.5

4 0

3 years ago

If the first step in the solution of the equation -9 + x = 5x - 7 is "subtract x," then what would the next step be ?

lutik1710 [3]

Answer:

-1/2=x

Step-by-step explanation:

-9 + x = 5x - 7

-x -x

-9=4x-7

+7 +7

-2=4x

-2/4 =4x/4

-1/2=x

5 0

3 years ago

Solve the simultaneous equations<br> 2x + 5y = 16<br> - 2x + 3y = 8

anygoal [31]

Answer:

2x+y= -2, x + 2y = 2

x+y=3 , 2x-8y = 19

6x^2+3y^2=12 , x +y = 2

4 0

2 years ago

Please Help I'm not really good at math

UkoKoshka [18]

The true statements about the triangles RST and DEF are: (a), (d) and (e)

<h3>How to determine the true statements?</h3>

The statement ΔRST ≅ ΔDEF means that the triangles RST and DEF are congruent.

This above implies that:

The triangles can be mapped onto each other by rigid transformations such as reflection, translation and rotation
The transformation does not include dilation
Corresponding sides are congruent

The above means that the possible true statements are: (a), (d) and (e)