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enot [183]
2 years ago
12

Which equation represents a circle that contains the point (-2, 8) and has a center at (4, 0)?

Mathematics
1 answer:
Digiron [165]2 years ago
3 0

Answer:

(x-4)² + y² = 100

Step-by-step explanation:

The only circles that have a center at (4 , 0) are :

(x-4)² + y² = 100

(x-4)² + y² = 10

……………………

•  (-2 - 4)² + 8² = (-6)² + 64 = 36 + 64 = 100 ≠ 10

Then

The circle (x-4)² + y² = 10 doesn’t contain the point (-2, 8)

•  (-2 - 4)² + 8²  = 100

Then

The circle (x-4)² + y² = 100 contains the point (-2, 8)

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A boy walks 6 km from a point P to a point Q on a bearing of 065. He then walks to a point R at a distance of 13 km on a bearing
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Answer:

  1. see below for a sketch
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Step-by-step explanation:

The distance can be calculated using the Law of Cosines. The angle internal to the triangle at Q is (180°-(146° -65°)) = 99°. Then the distance PR can be found from ...

  PR² = PQ² +QR² -2·PQ·QR·cos(∠PQR)

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2 years ago
Samantha sends her son, Barry, to a preschool center on certain days. The cost of preschool is $45 per day along with a fixed mo
MAXImum [283]

Answer:

<h3><em>D. 880 = 45d + 70; 18 days.</em></h3>

Step-by-step explanation:

We are given fixed monthly charge = $70.

The cost of preschool per day = $45.

Number of days = d.

Total cost of d days = cost per day × number of days + fixed monthly charge.

Therefore, we get equation

880 = 45×d+70

<h3>880 = 45d +70.</h3>

Now, we need to solve the equation for d.

Subtracting 70 from both sides, we get

880-70 = 45d +70-70

810=45d

Dividing both sides by 45, we get

\frac{810}{45} =\frac{45d}{45}

18=d.

Therefore,<em> 18 days Barry attended preschool last month.</em>

<em>Therefore, correct option is D option.</em>

<h3><em>D. 880 = 45d + 70; 18 days.</em></h3>
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Answer number 1 please and thankyou.​
Ksivusya [100]
I think 120inches
I hope this helps
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