Answer:
The distance between A(-8, 4) and B(4, -1) is 13 units.
Step-by-step explanation:
To find the distance between any two points, we can use the distance formula given by:

We have the two points A(-8, 4) and B(4, -1). Let A(-8, 4) be (<em>x₁, y₁</em>) and let B(4, -1) be (<em>x₂, y₂</em>). Substitute:

Evaluate:

So:

The distance between A(-8, 4) and B(4, -1) is 13 units.
Answer: y = 0.5cos(x), choice A
The parent function y = cos(x) follows this same basic pattern of the curve shown, but it starts off at (0,1) as its highest point. This graph has its highest point to be half as high, so we multiply by 1/2 or 0.5
Answer: x=4 ; y=<u> -4</u>
3
Step-by-step explanation:
2x + y = -4
.(-3)
2x + 3y = 4
-6x-3y=12
<u>2x + 3y = 4</u>
4x=16
x= <u>16</u>
4
x=4
2x + 3y = 4
2.4+3y=4
8+3y=4
3y= -8+4
y=<u> -4</u>
3