Answer:
Therefore the slope of the line that passes through the points (-9, -8),(−15,−16) is

Step-by-step explanation:
Given:
Let,
point A( x₁ , y₁) ≡ ( -9 ,-8)
point B( x₂ , y₂ )≡ (-15 ,-16)
To Find:
Slope = ?
Solution:
Slope of Line Segment AB is given as

Substituting the values we get

Therefore the slope of the line that passes through the points (-9, -8),(−15,−16) is

Answer:
x<-2
Step-by-step explanation:
You first subtract 4 from both sides. Then you divide both sides by -8 (note: when you multiply or divide by a negative the sign flips. Then you get your answer
Answer:
The dog's running area is approximately 942 feet².
Step-by-step explanation:
The dog is leashed to a fixed point, the leash has a length of 20 ft, therefore he can rotate around that point at the maximum distance equal to the length of the leash. This pattern forms a circle, but there is an obstruction, which is the corner of the house. This obstruction takes an arc of the original circle, so the running area of the dog is the area of the whole circle minus the area of the arc formed by the corner of the house.

The dog's running area is approximately 942 feet².
If you're familiar with the quadratic equation

well,

is the x component of the vertex, in your case, the vertex is the highest point
figure out what t is at the highest point, and then substitute that back into the equation in order to determine height
x=t in this problem