Answer:

Step-by-step explanation:
Given
Shape: Rectangle
Diagonals: AC and BD

Required
Determine BD
From the question, we understand that the shape is a rectangle and its diagonals are AC and BD
Every rectangle has 2 diagonals, both of which are equal.
This implies that:

Recall that:

Hence,

The answer is (1,-5), If you put those two on a graph, that point is where they collide.
Answer:
-25/21
Step-by-step explanation:
m=(y2-y1)/(x2-x1)=(15-(-10))/(-15-6)=(15+10)/-21=25/-21
Answer:
x=-4
Step-by-step explanation:
1. subtract 16 from both sides which leaves you left with
x=-4
The angle between two vectors is:
CosФ = u - v / Magnitude(u) x magnitude(v)
Magnitude of u = SQRT(7^2 + -2^2) = SQRT(49 +4) = SQRT(53)
Magnitude of v = SQRT(-1^2 +2^2) = SQRT(1 +4) = SQRT(5)
u x v = (7 x -1) + (-2 x 2) = -7 + -4 = -11
cosФ = -11 / sqrt(53) x sqrt(5)
cosФ = -11sqrt265) / 265
Ф =cos^-1(-11sqrt265) / 265)
Ф=132.51 degrees.