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3 years ago

Plz help answer these questions

Mathematics

1 answer:

Lynna [10]3 years ago

8 0

Answer:

Step-by-step explanation:

If you download Socratic it give u all the answers for free

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What's the center of a circle whose equation is (x – 14)2 + (y + 21)2 = 64?

kvasek [131]

Answer:

The center of the circle is:

$\left(a,\:b\right)=\left(14,\:-21\right)$

Thus, option (2) is true.

Step-by-step explanation:

The circle equation is given by

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

here,

r = raduis

center = (a, b)

Given the equation

$\left(x-14\right)^2+\left(y+21\right)^2=64$

$\mathrm{Rewrite}\:\left(x-14\right)^2+\left(y+21\right)^2=64\:\mathrm{in\:the\:form\:of\:the\:standard\:circle\:equation}$

$\left(x-14\right)^2+\left(y-\left(-21\right)\right)^2=8^2$

comparing with the circle equation

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

Therefore, the center of the circle is:

$\left(a,\:b\right)=\left(14,\:-21\right)$

Thus, option (2) is true.

7 0

3 years ago

Keisha bought 1.2 pounds of Swiss cheese that was selling for $5.95 per pound.

Anna11 [10]

Answer:

Keisha paid $7.0805

Step-by-step explanation:

First of all, you already know that 1 pound equals $5.95. Secondly, you have to solve 5.95 divided by 10, which is 0.595. However, the question is asking for 0.2 pounds! Therefore, 0.595 * 2 = 1.19.

But we're not done yet! We still have to find the amount of money in all. 5.95 * 1.19 = 7.0805 The sum of money in all is $7.0805

Hope this helps!

5 0

3 years ago

Read 2 more answers

The sum of two consecutive odd integers is 20 less than four times the smaller of the two integers. Which of the following equat

erik [133]

Mmmmmdghdjebbdghsjbdjbf

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3 years ago

Car A travels 180 miles in 7 hours. Car B travels 350 miles in 4 hours. Car C travels 584 miles in 15 hours. Which car has the f

GalinKa [24]

Car A travels 180miles in 7 hours
Car A travels 25.7 miles an hour because 180/7 = 25.7

Car B travels 350 miles in 4 hours
Car B travels 87.5 miles an hour because 350/4= 87.5

Car C travels 584 miles in 15 hours
Car C travels 38.9 miles an hour because 584/9 = 38.9

Car B has the fastest average speed

5 0

3 years ago

In a controlled laboratory environment, a random sample of 10 adults and a random sample of 10 children were tested by a psychol

Semmy [17]

Answer:

a) It cannot be concluded at the 99% confidence level that there is actually a difference between the true mean comfortable room temperatures for the two groups.

Step-by-step explanation:

8 0

3 years ago