Triangle a(-2,3), b(5,4) c(0,-4) is dialated by a scale factor of 3. The center of the dialation is at the origin. Select the Correct coordinates for the new triangle.

New coordinates of triangle are:

A(-6,9), B(15,20), C(0,12)

Option A is correct option.

Step-by-step explanation:

Triangle A(-2,3), B(5,4) C(0,-4) is dilated by a scale factor of 3. The centre of the dilation is at the origin. Select the Correct coordinates for the new triangle.

When a triangle is dilated by a scale factor, we multiply the scale factor with all the coordinates of the triangle.

So, We have A(-2,3), B(5,4) C(0,-4)

Dilation by a scale factor of 3

We get

A = 3(-2,3) = (-6,9)

B = 3(5,4) = (15,20)

C = 3(0,4) = (0,12)

So, New coordinates of triangle are:

A(-6,9), B(15,20), C(0,12)

Option A is correct option.

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.

step by step explanation: when u removing the parentheses and combined them that would be : x+3y-x-y=2y