We can find the distance between two points by using distance formula,

Here,
x₁ = -3
x₂ = 5
y₁ = -2
y₂ = 2
Therefore,

Hence the √80 = 8.94 approx is the distance between the two points (-3,-2) and (5,2).
Answer:
105 miles
Step-by-step explanation:
The relationship between speed, time, and distance is ...
distance = speed × time
For the given conditions, the distance is ...
distance = (70 mi/h)×(1.5 h) = 105 mi
Sam traveled 105 miles.
Answer:
56.25 miles
Step-by-step explanation:
Walker wants to visit petrified national forest and meteor crater.
On a map, a scale is 2 inches = 75 miles.
The national forest and meteor crater are about 1 and a half inches apart.
Let x miles be the actual distance between national forest and meteor crater.
Then
2 inches - 75 miles
inches - x miles.
Write a proportion:

Cross multiply

Or you can think in such way:
2 inches - 75 miles
1 inch - 37.5 miles
1/2 inch - 18.75 miles
1 1/2 inches - 37.5 + 18.75 = 56.25 miles
Answer:
no solution
Step-by-step explanation:
3(x+5) +2x=10x-5(x+1)
Distribute
3x+15 +2x = 10x-5x-5
Combine like terms
5x+15 = 5x -5
Subtract 5x from each side
5x-5x+15 = 5x-5x-5
15 = -5
This is never true so there is no solution
Answer:
6x+2
Step-by-step explanation:
The perimeter is all of the sides added together.
We know that in a rectangle, sides that are parallel to each other are the same.
So, to find the expression that represents the perimeter, you have to multiply 2x+1 by 2 and x by 2 and add both of those together.
(2*(2x+1))+(2*(x))
(4x+2)+(2x)
4x+2+2x
6x+2