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Slav-nsk [51]
2 years ago
8

A circle has its center at (−1, 2) and a radius of 3 units. Find the equation of the circle using the Pythagorean Theorem. PLEAS

EEEEEEEE HELPPPPPPPP!!!!!
Mathematics
2 answers:
notka56 [123]2 years ago
6 0
Pythagorean Theorem is for triangles not circles. 

The equation of a circle is (x - h)² + (y - k)² = radius² where (h, k) is the center.

Plug in your given information and simplify.

(x - (- 1))² + (y - 2)² = (3)²

(x + 1)² + (y - 2)² = 9 is your equation. 
DerKrebs [107]2 years ago
4 0

Answer:

Equation of circle is (x + 1)² + (y - 2)² = 9 .

Step-by-step explanation:

As the standard form of the equation of circle is

(x-h)² + (y-k)² = r²

Where r represented the circle and (h,k) are the centre of circle .

(This standard form of the circle is similar to Pythagorean theorem

i.e Hypotenuse² = Perpendicular² + Base²)

As given

A circle has its center at (−1, 2) and a radius of 3 units.

Putting all the values in the equation of circle

(x-(-1))² + (y-(2))² = 3²

(x + 1)² + (y - 2)² = 9

Therefore the equation of circle is (x + 1)² + (y - 2)² = 9 .

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Dmitri wants to cover the top and sides of this box with glass tiles that are 1 cm square. How many tiles will he need? Dmitri w
marta [7]

The number of tiles needed to cover the surface area of the box excluding the bottom is: 1,046 tiles.

<h3>What is the Surface Area of a Box?</h3>

The surface area of a box is the area surrounding all its faces. A box has 6 rectangular faces. Therefore, the total surface area of the box equals the sum of all 6 rectangular faces.

<h3>What is the Surface Area of a Box?</h3>

SA = 2(lw + lh + hw), where:

  • l = length
  • w = width
  • h = height of the box

The image attached below shows the box Dmitri wants to cover. Since the bottom of the box would be excluded, therefore:

The surface area to be covered = surface area of the box - area of the bottom rectangular face

The surface area to be covered = 2(lw + lh + hw) - (l)(w)

l = 26

w = 15

h = 8

Substitute

The surface area to be covered = 2(l×w + lh + hw) - (l)(w) = 2·(15·26+8·26+8·15) - (26)(15) =

The surface area to be covered = 1436 - 390 = 1,046 cm

Area of one tile = 1 cm square

Number of tiles needed = 1,046/1

Number of tiles needed = 1,046 tiles.

Learn more about Surface Area of a Box on:

brainly.com/question/26161002

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7 0
1 year ago
If p(x)=3x^2-4, what is p(8a)
vredina [299]
We are tasked to solve the value of p(8a) in the expression p(x)=3x^2-4.
This means that what would find the value of the expression when x=8a. To solve this, we simply substitute the value of x in the expression.

p(x)=3x^2-4
p(8a)=3(8a)^2-4
p(8a)=3(64a^2)-4
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3 years ago
Convert to smaller parts if possible​
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Answer:

Row 1 -

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Row 3 -

3/20, 7/20, 3/25, 3/5, 3/5, 1, 3/2 OR 1 1/2.

Hope this helped you out.

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blsea [12.9K]
53,656 is the answer.
4 0
3 years ago
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Find the amount that results from the given investments. $200 invested at 9% compounded after a period of 4 years
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The amount of invested money after a period of 4 years:

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