An image point has coordinates b'(7, -4). find the coordinates of its pre-image if the translation used was (x + 4, y + 5).

The coordinate of pre-image is, B(3 , -9).

Step-by-step explanation:

Given an image point has coordinate B'(7, -4).

We have to find the coordinates of its pre-image:

The rule of translation on pre-image (x, y) is given by;

then;

(7, -4) = (x+4, y+5)

on comparison we have;

x+4 = 7 and y + 5 = -4

First solve for x;

Subtract 4 from both sides we have;

x + 4 -4 =7-4

Simplify:

x = 3

To solve for y;

y+5 = -4

Subtract 5 from both sides we get;

y = -9

Therefore, the coordinate of pre-image is, B(3, -9)

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

d

step-by-step explanation:

i used the pitagoras theoreme