Step 1. Simplify

to

Step 2. Simplify

to

Step 3. Simplify

to

Step 4. Cancel

on both sides
Step 5. Multiply both sides by

(the LCM of

)
Step 6. Expand
Step 7. Subtract

from both sides
Step 8. Simplify

to

Step 9. Multiply both sides by


Done! :) Hope this helps! :)
Answer:
Part A: Angle R is not a right angle.
Part B; Angle GRT' is a right angle.
Step-by-step explanation:
Part A:
From the given figure it is noticed that the vertices of the triangle are G(-6,5), R(-3,1) and T(2,6).
Slope formula

The product of slopes of two perpendicular lines is -1.
Slope of GR is

Slope of RT is

Product of slopes of GR and RT is

Therefore lines GR and RT are not perpendicular to each other and angle R is not a right angle.
Part B:
If vertex T translated by rule

Then the coordinates of T' are


Slope of RT' is

Product of slopes of GR and RT' is

Since the product of slopes is -1, therefore the lines GR and RT' are perpendicular to each other and angle GRT' is a right angle.
Answer:
The y-intercept is 4.4
Step-by-step explanation:
See picture below.
The return trip was 21.2 hours long.
Step-by-step explanation:
Given,
Speed of plane from US = 212 mph
Speed of plane on return trip = 232 mph
Let,
x be the time taken on return trip.
Time taken from US = x+2
We know that;
Distance = Speed * Time
Distance of plane from US = 212(x+2) = 212x+424
Distance on return trip = 232x
As the distance will be same, therefore,

Dividing both sides by 20

The return trip was 21.2 hours long.
Keywords: distance, speed
Learn more about speed at:
#LearnwithBrainly