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VashaNatasha [74]
3 years ago
14

What is the center of the circle? Please show steps!

Mathematics
1 answer:
Vika [28.1K]3 years ago
7 0

Answer:

<h2>A. (0, 4)</h2>

Step-by-step explanation:

The equation of a circle:

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

(h, k) - center

r - radius

We have the equation:

x^2+(y-4)^2=25\\\\(x-0)^2+(y-4)^2=5^2

h = 0, k = 4, r = 5

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Help me plz I beg you
scZoUnD [109]
The answer would be C. We know that d is equal to the initial depth of a lake. The two given initial depths are 58 feet and 53 feet, so we know that one of the equations must be either d=58 or d=53. Because there only C has either one of those, d=58, we know that it must be the answer.

To find the other equation, it is just a linear function for the other lake. The y-intercept, or initial value, is 53, so in the equation y=mx+b, it is the b value. The slope, or m value, is 3 feet, so you have y=d=3x+53.


4 0
3 years ago
Which statement describes the translation of y = −one half (x − 2)2 − 2 from standard position?
kaheart [24]
A quadratic in vertex form can be represented as

y = a(x-h)^{2} +k

a represents reflection over the x-axis, and a vertical stretch or compress 
- is reflection and a fraction (1/2) represents a compression.

-h represents a shift of that many units to the right (-2 shifts to the right  two units)

k represents a shift up or down (-2 is shifting down 2 units_

Reflected over the x-axis, Vertically compressed by a factor of 1/2, shifted 2 units to the right, and shifted 2 units down
5 0
3 years ago
Bradley completed 3/5 of his homework. What percent of his homework does he still need to complete?
Y_Kistochka [10]
1 - 3/5 = 5/5 - 3/5 = 2/5 = 0.4 = 40%
5 0
3 years ago
Find the exact distance between (5, 3) and (-2, 8).
Brrunno [24]

Answer:

The answer is

<h2>\sqrt{74}  \:  \:  \:  \: units \\</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  } \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(5, 3) and (-2, 8)

The distance between them is

d =  \sqrt{( {5 + 2})^{2} + ( {3 - 8})^{2}  }  \\  =  \sqrt{ {7}^{2} +  ({ - 5})^{2}  }  \\  =  \sqrt{49 + 25}  \\  =  \sqrt{74}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

We have the final answer as

\sqrt{74}  \:  \:  \:  \: units \\

Hope this helps you

8 0
3 years ago
What is the solution set of the following system of equations?
zloy xaker [14]
The answer is A) 31/8 and 25/8. Would you like me to list the steps?
<span><span><span>
</span></span></span>
7 0
3 years ago
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