Using proportions, it is found that the speed of the runners are of 16 mph and of 20 mph.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount.
After 30 minutes, the runners are 2 miles apart, hence the second runner is 4 miles per hour faster than the second, that is:
.
The first runner's speed is 4/5 of the speed of the second runner, hence:
Hence, the speed of the runners are of 16 mph and of 20 mph.
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The standard form of the circle equation 4x² + 8x + 4y² + 32y +52 = 0 is (x + 1)² + (y + 4)² = 2²
<h3>What is a circle?</h3>
It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
We have an equation that represents the circle:
4x² + 8x + 4y² + 32y +52 = 0
Divide by 4 on both the sides:
x² + 2x + y² + 8y + 13 = 0
x² + 2x + 1 - 1 + y² + 8y + 4² - 4² + 13 = 0
x² + 2x + 1 + y² + 8y + 4² - 1 - 16 + 13
(x + 1)² + (y + 4)² = 4
(x + 1)² + (y + 4)² = 2²
Thus, the standard form of the circle equation 4x² + 8x + 4y² + 32y +52 = 0 is (x + 1)² + (y + 4)² = 2²
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The difference in the pay rate of Phoebe in 5 years will be $11850
<h3>How to calculate the pay? </h3>
Your information is incomplete. Therefore, an overview will be given. Let's assume that the pay rate is $20000. When there is a 5% increase, the new pay rate will be:
= $20000 + (5% × $20000)
= $20000 + $1000
= $21000
When there is $0.75 increase per hour, the new pay rate on 5 years will be:
= (0.75 × 43800)
= $32850
The difference will be:
= $32850 - $21000
= $11850
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Answer:
10 and 6
Step-by-step explanation:
2 can go into both 6 and 10 and 6 and 10 are multiples of 60
