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3 years ago

Please explain how it’s C?!

Mathematics

1 answer:

Zepler [3.9K]3 years ago

8 0

The equation of a circle centered at the origin is x² + y² = r², where r is the radius.

Because we know that the circle goes through point (0, -9), we know that the radius of the circle is 9, so the equation of the circle is x² + y² = 9² = x² + y² = 81.

Therefore, to see if the point (8, √17) lies on the circle, we need to substitute these coordinates into the equation:

x² + y² = 81
8² + (√17)² = 81
64 + 17 = 81
81 = 81

So this confirms that the point (8, √17) lies on the circle.

I hope this helps!

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Given a square with two vertices of one side located at (-5, -3) and (-5, 12), in square units what is its area?

Ray Of Light [21]

The side length is 12 - -3 = 15 so the area is 15 squared = 225.

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3 years ago

Doug lives 7. Block away from his school . Each block is about 265 feet long. What is total round-trip dostance,in miles that Do

olga_2 [115]

Answer:

B : 0.7

Step-by-step explanation:

Given:

Doug lives 7. Block away from his school.

Each block is about 265 feet long.

Question asked:

What is total round-trip distance,in miles that Doug walks to and from school each day ?

Solution:

Each block is about = 265 feet

7 Block = $265\times7 = 1855 \ feet$

As he lives 7 block away from his school that means his round trip distance is,

7 block ( travel during going to school ) + 7 block ( when return from school )

Therefore, his total round trip is 14 block, means 1855 feet + 1855 feet = 3710 feet.

Now, we have to convert it into miles as here asked: (unitary method)

5280 feet = 1 mile

1 feet = $\frac{1}{5280}$

3710 feet = $\frac{1}{5280}\times3710$

= $\frac{3710}{5280} = 0.7 \ miles$

Thus, total round-trip distance,in miles that Doug walks to and from school each day is 0.7 miles.

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3 years ago

Find the seventh term of the sequence given by the rule t = -5n+2

Artemon [7]

I would go with -33 cause if you replace the t with -33 you would have to solve the problem and it would be 7 so -33 is the answer.

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3 years ago

Find the measure of 46. 46 = [?] 24° 46

weqwewe [10]

Answer:

Solution given:

<6+24=180[co- interior angle]

<6=180-24=156°

<6=156°

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2 years ago

Read 2 more answers

To obtain the area of a sector, what fraction is multiplied by the area of a circle (A = πr2)?

romanna [79]

Let r be a radius of a given circle and α be an angle, that corresponds to a sector.

The circle area is $A=\pi r^2$ and denote the sector area as $A_1$ .
Then $\dfrac{A_1}{A}= \dfrac{\alpha}{2\pi}$ (the ratio between area is the same as the ratio between coresponding angles).

$A_1=\dfrac{\alpha}{2\pi} \cdot A=\dfrac{\alpha}{2\pi} \cdot \pi r^2= \dfrac{r^2\alpha}{2}$ .

6 0

3 years ago