19)
6/x = x/12
x^2 = 72
x = √72
x = 6√2
y^2 = 12^2 + (√72)^2
y^2 = 144 + 72
y^2 = 216
y = 6√6
21)
14 - 8 = 6
y/8 = 6/y
y^2 = 48
y = √48
y = 4√3
x^2 = 6^2 +(√48)^2
x^2 = 36 + 48
x^2 = 84
x = √84
x = 2√21
Given:
m = -8 degrees/hour, the rate of change of temperature
Let x = hours
Let y = temperature, °F
Then y = -8x + b
where b = constant
When x = 0, then y = b.
Therefore b = initial temperature
If the temperature drops by at least 36 °F in the next x hours, then
b - y(6) ≥ 36
b - (-8x + b) ≥ 36
8x ≥ 36
x ≥ 4.5 hours
Answer: At least 4.5 hours
Answer:
u= -4
Step-by-step explanation:
-36=9u
u=-36/9
u=-12/3
u=-4
Answer:
needs 95% for the fourth quarter
Answer:
w>-12
Step-by-step explanation:
6>w/-2 (Given)
6>-w/2 (Rewrite)
12>-w (Multiply both sides by 2)
-12<w (Remember to flip the sign when dividing or mulitplying by a negative)
w>-12 (Rewrite with w in front)
Therefore, w>-12 is the solution to the inequality.
