Question

100 POINTS! WILL MARK BRAINLIEST! WILL GIVE THANKS AND WILL R8! Also, I will report if you answer just for points!

1. Show ALL work, and ROUND to the nearest TENTH.

2. Angel uses the point (4, 3) to represent the location of her house and uses the point (10, 8) to represent the location of a gas station. Each unit on the graph represents 1 mi. How far is the gas station from Angel’s house? Show your work!

Answer 1

Problem One
This is a right angle triangle. If it is not, then there is no way to do the problem. the right angle is across from the 19. 

Formula
a^2 + b^2 = c^2

Givens
a = 17
c = 19

Sub and solve
17^2 + b^2 = 19^2
289 + b^2 = 361  Subtract 289 from both sides.
b^2 = 361 - 289
b^2 = 72              Take the square root of both sides.
b = sqrt(72)          Factor 72
b = sqrt(6 * 6 * 2)  Take 6 outside the root sign.
b = 6*sqrt(2)

This is one possible answer b = 6*sqrt(2)
The other is a decimal          b = 6 * 1.414 = 8.485

Problem 2
Remark
If you are just counting units then the answer is 11 (miles). If you want an answer that goes the way a bird would fly directly to it then the problem will look like this.

Givens
Points (4,3) and (10,8)

Formula
d = sqrt( (y2 - y1)^2 + (x2 - x1)^2 )
y2 = 8
y1 = 3
x2 = 10
x1 = 4

Sub and solve
d = sqrt( (8 - 3)^2 + (10 - 4)^2 )
d = sqrt(  5^2 + 6^2)
d = sqrt(25 + 36)
d = sqrt(61)  Answer

That's one answer 
The other is the d = 7.8102 If you have choices show them please.