Answer:
Step-by-step explanation:
(x - 8)/2 = -5
x - 8 = -10
x = -2
(y + 6)/2 = 10
y + 6 = 20
y = 14
(-2, 14)
Answer:
The answer is "0.4125"
Step-by-step explanation:

Answer: 8 feet, D
Step-by-step explanation:
To solve this, use the Pythagorean Theorem. It states:

where A and B are the sides of a triangle and C is the triangle's hypotenuse.
The 17 foot ladder in this situation is your hypotenuse, and you have one side of the triangle: 15.

15 squared = 225
17 squared = 289
solving for b squared, we get 
taking the square root of 64, you get 8 feet, the distance between the house and the base of the ladder.
Answer:
it would be 7 and 8
Step-by-step explanation:
Answer:
Part a) The speed is 
Part b) After 4 seconds the trains is 24 ft along the track
Part c) 
Step-by-step explanation:
we have

This is the equation of a line in slope intercept form
where
s(t) is the position of a model train in feet
t is the time in seconds
Part a) How fast is the train moving?
The speed of the train is equal to the slope of the linear equation so
The slope m is equal to

therefore
The speed is 
Part b) Where is the train after 4 seconds?
For t=4 sec
substitute the value of t in the equation and solve for s

therefore
After 4 seconds the trains is 24 ft along the track
Part c) When will the train be 29 feet along the track?
For s(t)=29 ft
Substitute the value of s(t) in the equation and solve for t

subtract 14 both sides


Divide by 2.5 both sides

rewrite
