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GrogVix [38]
3 years ago
15

What is the equation of a circle with a center located at (-3, 4) and a diameter of 14?

Mathematics
1 answer:
AnnZ [28]3 years ago
7 0

Answer: (x + 3)^2 + (y - 4)^2 = 49

Step-by-step explanation:

The equation of a circle given the center and radius: (x - h)^2 + (y - k)^2 = r^2

Given: center (-3,4) ; h = -3 and k = 4

diameter = 14

To find the radius: divide the diameter by 2 = 14/2 = 7 = r

Center: (-3,4) and radius: 7

Equation of a circle: (x - h)^2 + (y - k) ^2 = r^2

Substitute h = -3, k = 4, r = 7

(x - (-3))^2 + (y - 4)^2 = 7^2

Answer:

Equation of the circle: (x + 3)^2 + (y - 4)^2 = 49

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Solve c= 5/9(F-32) for F
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Answer:

F=9/5c+32

Step-by-step explanation:

  • c=5/9f-160/9

  • 9c=5f-160

  • -5f=-160-9c

  • f=32+9/5c

  • f=9/5c+32
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2 years ago
What is the prime factorization of 585?
meriva

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3 years ago
Read 2 more answers
A triangular prism has an equilateral base with side length x inches. The height of the prism is four times as long as the side
crimeas [40]

The area of the prism is 12x² inches². Thus, the correct option is B.

<h3>What is a triangular prism?</h3>

Suppose you've got a triangle. Now, stretch it up so as to make a stack of triangles up above another. This new 3d object is called a triangular prism.

Usually, when we talk about a triangular prism, we talk about the triangular prism, whose stack goes straight up, thus, we talk about a right triangular prism.

For a prism, the lateral sides of a prism are made up of rectangles which consist of the height and the length of the base. Therefore, a triangular prism has an equilateral base with a side length x inches. The height of the prism is four times as long as the side length. The lateral area will be,

Lateral Area = 3(x×4x) = 12x² inches²

Hence, the area of the prism is 12x² inches². Thus, the correct option is B.

Learn more about the Lateral surface area of triangular prisms:

brainly.com/question/15434771

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5 0
2 years ago
What is x minus 3 over x^2 minus 25 over x^2 minus 9 over x minus 5?
hichkok12 [17]
....................

6 0
3 years ago
What is the perimeter of the triangle?<br>units=<br>​
Luba_88 [7]

Answer:

36

Step-by-step explanation:

Use pythagorean theorem

side 1 = 9

side 2 = 12

9^2 + 12^2 = third side ^2

third side = 15

9+12+15 = 36

Hope this helpful!!!!! :)

8 0
3 years ago
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