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2 years ago

A circle in the XY-plane has center (5, 7) and radius 2. Which of the following is an equation of the circle?

Mathematics

1 answer:

MAXImum [283]2 years ago

6 0

Answer: A, because the equation of a circle is $(x-h)^2+(y-k)^2=r^2$ . So, if the point of the center is $(5,7)$ and the radius $2$ , then on the equation should be changed as negative and the radius should be multiplied as $4$ , which is $(x-5)^2+(y-7)^2=4$

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A square has an area of 81x square cm. What is the perimeter of the square ?

Fudgin [204]

Answer:

The perimeter of the square is $36\sqrt{x}\ cm$

Step-by-step explanation:

step 1

Find the length side of the square

we know that

The area of a square is equal to

$A=b^{2}$

where

b is the length side of the square

we have

$A=81x\ cm^{2}$

substitute and solve for b

$81x=b^{2}$

square root both sides

$b=9\sqrt{x}\ cm$

step 2

Find the perimeter of the square

we know that

The perimeter of the square is equal to

$P=4b$

we have

$b=9\sqrt{x}\ cm$

substitute

$P=(4)9\sqrt{x}$

$P=36\sqrt{x}\ cm$

6 0

3 years ago

The Nisbets went through the drive through

Alexandra [31]

Answer:

One cup of coffee is $3.25

Step-by-step explanation:

Create a system of equations where c is the cost of a cup of coffee and d is the cost of a donut

2c + 4d = 10.5

c + 5d = 8.25

Solve by elimination by multiplying the top equation by -5 and the bottom equation by 4

-10c - 20d = -52.5

4c + 20d = 33

Add them together and solve for c

-6c = -19.5

c = 3.25

So, a cup of coffee is $3.25

8 0

3 years ago

A pillow that usually costs $20 is marked down 45%. Table Use the table to find the new price of the pillow. $9 $11 $29 $33

sattari [20]

It would now cost $11. 45% of 20 is 9, therefore, you would subtract 9 from 20 (since it is getting marked down).

6 0

3 years ago

Read 2 more answers

The lengths of a particular snake are approximately normally distributed with a given mean mu = 15 in. and standard deviation si

Helga [31]

The percentage of the snakes is longer than 16.6 in. with a mean of 15 in. and a standard deviation of 0.8 in. is 2.275%.

<h3>What is a normal distribution?</h3>

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

The lengths of a particular snake are approximately normally distributed with a given mean = 15 in. and standard deviation = 0.8 in.

Then the percentage of the snakes is longer than 16.6 in. will be

$z = \dfrac{ x - \mu }{ \sigma }\\\\z = \dfrac{16.6-15}{0.8}\\\\z = 2$