Answer:
-y(7+y) =0
Step-by-step explanation:
-7y - y^2 = 0
Factor out a -y
-y(7+y) =0
Using the zero product property
-y =0 and 7+y =0
y=0 7-7+y = 0-7
y=0 y = -7
Answer:
Using the formula for the distance between two points, which is generated using coordinates and absolute value, we find that the distance between these two points is of 9 units.
Step-by-step explanation:
Distance between two points:
Suppose that we have two points,
and
. The distance between them is given by:

This formula is generated using coordinates and absolute value.
In this question:
(3,-7) and (3,2). So

The distance between these two points is of 9 units.
Answer:
The third number line where x = -2, 2
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given:
Length of ladder, y = 10 ft
θ = π/3 rad
Using cosine rule,
Sin θ = opposite/hypotenuse
Sin θ = x/y
Sin θ = x/10
Differentiating both sides with respect to dθ,
10 × cos θ × dθ = dx
10 cos θ = dx/dθ
dx/dθ = 10 × cos π/3
= 5 ft/radians.