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3 years ago

The circle below is centered at the origin and has a radius of 10. What is its

Mathematics

1 answer:

coldgirl [10]3 years ago

6 0

Answer:

x^2+y^2=100

Steps:-

We know Distance formula from origin

$\\ \sf\longmapsto \sqrt{x^2+y^2}$

Now

$\\ \sf\longmapsto \sqrt{x^2+y^2}=10$

$\\ \sf\longmapsto x^2+y^2=10^2$

$\\ \sf\longmapsto x^2+y^2=100$

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Step-by-step explanation:

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if it was 6,6,7,8

the mode would have been 6

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melisa1 [442]

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44cm^2

Step-by-step explanation:

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3 years ago

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Pavel [41]

Notice that 8 can be written in exponential form of $2^{3}$

When you see $(2^{3} )^{\frac{8}{3} }$ , recognize that $(a^{m} )^{n} =a^{mn}$

3 × $\frac{8}3}$ = 8

Hence, the answer is $2^{8}$ . Which means 256.

Here is some indices rules/formulas you might find helpful as well:

$a^{m} * a^{n} =a^{m+n} \\\\ a^{m} /a^{n} =a^{m-n} \\\\ (a^{m} )^{n} =a^{mn} \\\\ a^{-m} =\frac{1}{a^{m} }$

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3 years ago

A 5-lb bag of apples costs 4.50 and an 8-lb bag of the same type of apple costs 7.52. Greg found the unit price which is the con

tester [92]

Answer:

The unit price of 5-lb bag is less than the unit price of 8lb bag.

Step-by-step explanation:

Consider the provided information.

We need to calculate the unite price,

It is given that A 5-lb bag of apples costs 4.50

Calculate the unit price as shown:

$\frac{Cost}{weight} =\frac{4.50}{5}$

We need the cost of 1 l b .

$\frac{Cost}{weight} =\frac{4.50\div5 }{5\div 5}$

$\frac{Cost}{weight} =\frac{0.90}{1}$

So, the cost of 1lb of apple is $0.90.

8-lb bag of the same type of apple costs 7.52.

Calculate the unit price as shown:

$\frac{Cost}{weight} =\frac{7.52}{8}$

We need the cost of 1 l b .

$\frac{Cost}{weight} =\frac{7.52\div8 }{8\div 8}$

$\frac{Cost}{weight} =\frac{0.94}{1}$

So, the cost of 1lb of apple is $0.94.

Therefore, the unit price of 5-lb bag is less than the unit price of 8lb bag.

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3 years ago