Substitute in x = 2:
y = 5(2) + 3
y = 10 + 3
y = 13
It will take you 3/4 of an hour, or 45 minutes to paint 1 wall.
Answer:
(2, 1)
Step-by-step explanation:
To solve by substitution, we solve one equation for one of its variables and then substitute the solved value for that variable into the other equation. Because this system of equations already has one solved for the variable, this makes our job much easier. We only need to implement the solved value for y into the other equation and solve for x.
y = 6x - 11
-2x - 3(6x - 11) = -7 Distribute.
-2x - 18x + 33 = -7 Combine like terms.
-20x + 33 = -7 Subtract 33 from both sides of the equation.
-20x = -40 Divide by -20 on both sides of the equation.
x = 2
Then, with this value, we will place it into the equation that was already solved for y in order to get a definite value for y.
y = 6(2) - 11
y = 12 - 11
y = 1
Using this information, the coordinate pair for this equation (the point of intersection between the two lines) is (2, 1).
Answer:
2. 
3. 
- definition of perpendicular
4. 
- all right angles are congruent
6. 
7. 
Step-by-step explanation:
<u>Given: </u>Point P is the perpendicular bisector of AB
<u>Prove: </u>P is equidistant from the endpoints AB
<u>Proof.</u>
1. Point P is on the perpendicular bisector of AB - given
2. - definition of bisector
3. - definition of perpendicular
4. - all right angles are congruent
5. 
- reflexive property of congruence
6. - SAS congruency postulate
7. - corresponding parts of congruent triangles are congruent
8. Point P is equidistant from the endpoints of AB - definition of equidistant
I think it would be a triangle, because they said it would be cut at an angle.
