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3 years ago

Write the equation for a circle that satisfies the given conditions.

Mathematics

1 answer:

Alisiya [41]3 years ago

4 0

The standard form of a circle is:

$(x-a)^2+(y-b)^2=r^2$

Your center is $(-10, -6)$ and your radius is $9$

Plug them into the equation and you get

$(x-(-10))+(y-(-6)) = 9^2$

$(x+10)^2 + (y+6)^2=81$

The correct answer is D.

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18/24 for the first one

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A salesperson earned a salary of $12000 per year plus 5% commission on sales of $100000. What is his total income

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If im doing right....

100,000*.5=50,000

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Subtract c from each side, using the subtraction property of equality

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0 = ax^2 + bx + c

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ace bike rentals rents bikes for $28 per day. Renters can keep the bike for 8 hours. Bart's bikes rents bikes for $30 per day. R

lyudmila [28]

Bart company charges a lower rate. It is lower by rate $ 0.5 per hour

<h3><u>Solution:</u></h3>

Given that Ace bike rentals rents bikes for $28 per day. Renters can keep the bike for 8 hours

Also given that Bart's bikes rents bikes for $30 per day. Renters can keep the bike for 10 hours

To find: company that charges lower rate

Let us find the hourly rate of Ace and Bart

$\text {hourly rate }=\frac{\text { Rental price }}{\text { total time in a day }}$

<em><u>Hourly rate of Ace company:</u></em>

Rental price = $28

total time in a day 8 hours

$\text {hourly rate }=\frac{28}{8}=3.5$

So the hourly rate of Ace company is $ 3.5 per hour

<em><u>Hourly rate of Bart company:</u></em>

Rental price = $ 30

total time in a day 10 hours

$\text {hourly rate }=\frac{30}{10}=3$

So the hourly rate of Bart company is $ 3 per hour

<em><u>Comparing hourly rate of both companies</u></em>

Ace company is $ 3.5 per hour

Bart company is $ 3 per hour

Bart company < Ace company

3 < 3.5

Thus bart company charges a lower rate

<h3><em><u>How much lower?</u></em></h3>

hourly rate of Ace company - hourly rate of Bart company = 3.5 - 3 = 0.5

So, it is lower by rate $0.5 per hour

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3 years ago

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Step-by-step explanation:

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