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White raven [17]
3 years ago
15

Which of the following is the equation of a circle with a radius of 10 cm and center at (–3, 6)?

Mathematics
1 answer:
Volgvan3 years ago
4 0

The equation of the circle:

(x-h)^2+(y-k)^2=r^2

(h, k) - center

r - radius

We have:

r=10\\(-3,\ 6)\to h=-3,\ k=6

Substitute:

(x-(-3))^2+(y-6)^2=10^2\\\\(x+3)^2+(y-6)^2=100

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Suppose Evan is trying to build a frame out of popsicle sticks x inches long. The frame will have length (2x – 3) and width of (
erik [133]

Answer:

The correct option is A)  3 square inches; 2x^2-7x+6.

Step-by-step explanation:

It is given that the length of the frame is (2x-3) and the width is (x-2)

The area of the rectangle is: A=l\times w

Where, A is the area l is the length and w is the width of the rectangle.

Put l=(2x-3) and w=(x-2) in the area of the rectangle.

A=(2x-3)(x-2)\\A=2x^2-4x-3x+6\\A=2x^2-7x+6

The area of the frame expressed as a polynomial is 2x^2-7x+6.

Now substitute x=3 in A=2x^2-7x+6.

A=2(3)^2-7(3)+6\\A=18-21+6\\A=3

The area of the frame is 3 square inches.

Hence, the correct option is A)  3 square inches; 2x^2-7x+6.

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3 years ago
Two consecutive negative integers have a product of 20. what are the integers?
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The two numbers are -4 and -5.
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4 years ago
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Tracy needs to find the length and width of the equipment room where she works. The room is 2 meters longer than it is wide. The
Alekssandra [29.7K]

Answer:

The answer to your question is: width = 3 meters

Step-by-step explanation:

Data

Perimeter = 16 meters

The room is 2 meters longer than its width, then   length = width + 2

Perimeter = 2 length + 2 width

   16 =  2(width + 2) + 2 width

    16 = 2 width + 4 + 2 width

   16 = 4 width +4

   16 - 4 = 4 width

    12 = 4 width

    12/4 = width

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length = 3 + 2 = 5 meters

8 0
3 years ago
(2.0 x 104)(3.02 x 109) simplified form​
kykrilka [37]

Answer:

68469.44

Multiplication is commutative so can be multiplied anyway

(2.0× 109)(3.02×104)

2.0 can be written as ( 20÷ 10) and 3.02 can be written as (302÷ 100)

(2× 109){(3.02÷ 100)× 104]

(218)(7852÷ 25)

68469.44

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