For this case we must simplify the following expression:
We eliminate the parentheses taking into account that:

So:

We add similar terms taking into account that:
Equal signs are added and the same sign is placed.
Different signs are subtracted and the major sign is placed.

Answer:

Answer:
Step-by-step explanation:
The angles would be supplementary
45 + 5x + 35 = 180
5x + 80 = 180
5x = 100
x = 20
To find out why they are supplementary, refer to the transversal below
∠3 = ∠7 (corresponding angles)
∠8 = 180 - ∠7 (supplementary angles)
And since ∠7 = ∠3...
∠8 = 180 - ∠3 which is why (in the problem) those two angles are supplementary (adding to 180 degrees)
The slope is 2. The y-intercept is 4.
Explanation:
The line constantly goes up to units for every unit that it goes to the right. The y intercept is 4 because it is 4 on the y-axis when x is 0.
Answer:
Extrapolation
Step-by-step explanation:
Extrapolation is a type of estimation, beyond the original observation range. In this case, the observation range is from 4.5 to 7.5 years. Marco's mom is extrapolating the regression line to estimate Marco's height at 14 years old. This sort of estimation assumes that Marco's height will continue changing at the same rate until he is 14 years old.