PN = PM
6x + 1 = 10x - 17
Add both sides 17
6x + 1 + 17 = 10x - 17 + 17
6x + 18 = 10x
Subtract both sides 6x
6x - 6x + 18 = 10x - 6x
18 = 4x
Divide both sides by 4
18 ÷ 4 = 4x ÷ 4
9/2 = x
x = 9/2
___________________________
QN = 2x + 5
QN = 2 × ( 9/2 ) + 5
QN = 9 + 5
QN = 14
Answer:
Divide the number of miles (1080) by the number of gallons (15).
1080 miles / 15 gallons = 72 miles per gallons
72 miles per gallons is the unit rate
Step-by-step explanation:
Answer:
7.2+0.8w
Step-by-step explanation:
Add the constants to get 7.2
sub variables to get 0.8w
Answer:
1. 115
2. 65
3. 110
4. 70
5. 70
6. 70
7. 65
8. 115
9. corresponding angles
10. complementary interior angles
11. opposite exterior angles
12. complementary interior angles
13. unrelated
14. x = 9
15. x = 6
Answer:
(3, -3)
Step-by-step explanation:
The vertex of the most general absolute value function is y = |x|, whose vertex is at (0, 0). Focusing on the " |x - 3| " tells us that the graph of y = |x| is moved 3 units to the right. Next, focusing on the " -3 " as it tells us that the resulting graph is shifted 3 units down. Thus, the vertex of g(x)=|x-3|-3 is at (3, -3).
