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ivann1987 [24]
2 years ago
8

What is the equation of a circle with center -4, 7 and radius 6

Mathematics
1 answer:
Kitty [74]2 years ago
4 0

Answer:

( x + 4 )^2 + ( y - 7 )^2 = 36

Step-by-step explanation:

Use the circle equation, ( x - h )^2 + ( y - k )^2 = r^2

Plug in the center and radius:

( x + 4 )^2 + ( y - 7 )^2 = 6^2

Simplify:

( x + 4 )^2 + ( y - 7 )^2 = 36

So, the equation is ( x + 4 )^2 + ( y - 7 )^2 = 36

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Factor completely 36x 2 + 60x + 25
sweet [91]
I believe that the answer is 90x+27
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3 years ago
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The volume of a rectangular prism is 2,058 cubic cm. The length of the prism is 3 times the width. The height is twice the width
liraira [26]
Let the width be w, length = 3w and height = 2w

Volume = length x width x height = w x 3w x 2w = 6w^3
6w^3 = 2,058
w^3 = 2,058/6 = 343
w = ∛343 = 7

width = 7 cm
8 0
3 years ago
Graph the inequality in the coordinate plane:<br><br> x&lt;-3
tensa zangetsu [6.8K]

Answer:

Graph of the inequality x< -3 as shown below in the figure.

Step-by-step explanation:

Given the inequality: x < -3

Graph of this inequality as shown below in the figure.

All the points that are lie in the shaded area satisfy the equation x < -3 or

In other words, we can say that x can take any value less than -3 .

x ≠ -3 or any number that is greater than -3.

Since there is a strict inequality i.e x < -3 , the points that lie on the line x = -3 does not satisfy the equation.

Therefore, the dotted line is marked at x = -3  

8 0
2 years ago
Explain how to write 3 X3/8 as the product of a whole number and a unit fraction
mars1129 [50]
A unit fraction means that the fraction has 1 in the numerator. To make 3/8 a unit fraction, you have to make it 1/8 by dividing by 3.

So now you have 3 x 3 x 1/8. You can multiply the 3 and 3.

You are left with 9 x 1/8.
6 0
3 years ago
Write the ratio as a fraction, a decimal, and a percent.<br> 51:75
irina [24]
51:75

This is the same as 51/75.

Simplify by dividing 3 to the numerator and denominator:

17/25

Divide this to get a decimal:

17 / 25 = 0.68

Now multiply by 100 to get a percent:

0.68 * 100 = 68%
6 0
3 years ago
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