Answer:
A - (4, –1.5)
Step-by-step explanation: Hope it helps :D
(x, y) --> (x + 5, y - 1)
A(3, -1) --> A'(3 + 5, -1 - 1) --> A'(8, -2)
B(6, 1) --> B'(6 + 5, 1 -1) --> B'(11, 0)
C(2, 4) --> C'(2 + 5, 4 - 1) --> C'(7, 3)
D(-1, 3) --> D'(-1 + 5, 3 - 1) --> D'(4, 2)
see the attached figure to better understand the problem
we know that
The equilateral triangle has three equal sides
so
in the equilateral triangle ABC

the height of the triangle is the segment BD
in the right triangle BCD
Applying the Pythagorean Theorem

solve for BD

substitute the values



therefore
<u>the answer is</u>
the height of the triangle is 
a) x=4 is 5 units to the right of x=-1.
y=12 is 4 units up from y=8.
Your point (-1, 8) is translated to (4, 12).
___
b) If the parent function f(x) = x is translated so it goes through (4, 12), the translated function can be written ...
... g(x) = f(x-4) +12 = (x -4) +12
... g(x) = x +8
A triangle is a three-sided polygon. The sum of angles in a triangle is 180 degrees.
<em><u>Types of triangles </u></em>
- An equilateral triangle : the three sides are equal in length.
- An isosceles triangle : two sides are equal in length
- A right angled triangle : an angle measures 90 degrees
The perimeter of a triangle is (8t -7 + u) centimeters
The perimeter of a triangle is the sum of the three lengths of the triangle
2t +2 + 6t - 7 + u -2
Combine similar terms
(2t + 6t) + (2 - 7 - 2) + u
Add combined similar terms
8t -7 + u
To learn more about the perimeter of a triangle, please check: brainly.com/question/11681906?referrer=searchResults