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mart [117]
3 years ago
15

Write the equation in standard form for the circle with center (5,0) passing through (-1, 9/2)

Mathematics
1 answer:
andreev551 [17]3 years ago
3 0

Answer:

(x - 5)^2 + y^2 = 225/4,

or you could write it as (x - 5)^2 + y^2 = 56.25.

Step-by-step explanation:

The factor form is

(x - h)^2 + (y - k)^2 = r^2  where the center is (h, k) and r = the radius.

So we have:

(x - 5)^2 + (y - 0)^2 = r^2

As the point  (-1, 9/2) is on the line:

(-1 - 5)^2 +  (9/2)^2 = r^2

r^2 =  36 +  81/4

r^2 = 225/4.

So  substituting for r^2:

(x - 5)^2 + (y - 0)^2 = 225/4

(x - 5)^2 + y^2 = 225/4 is the standard form.

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Can anyone help me with this plz
inn [45]

Answer:

B.

Step-by-step explanation:

So we know right off the bat the angles ABE and CBD are congruent because of vertical angles.

Now we can look at the sides.

The ratio for 27:18 = 3:2

The ratio for 36:24 = 3:2

They check out.

That means that the answer is B. SAS

5 0
3 years ago
Find the solution of the system of equations. – 5 - 6y = -32 4x - 6y = 4​
amid [387]

Equation (1)

-5 - 6y = -32

Equation (2)

4x - 6y = 4

Get y alone in equation (1)

-5 - 6y = - 32\\-6y = -32 + 5\\-6y = -27\\y = \frac{-27}{-6} = \frac{9}{2}

Insert y in equation (2)

4x - 6 \cdot \frac{9}{2} = 4\\4x - 27 = 4\\4x = 4 + 27\\4x = 31\\x = \frac{31}{4}

8 0
3 years ago
A. 2b + 8 - 5b + 3 = -13 + 8b – 5
MrRa [10]
Solution
-3b + 11 = -18 + 8b
-3b - 8b = -18 - 11
-11b = -29
b = 29/11
8 0
3 years ago
Read 2 more answers
Which expression represents 10 times the sum of 2 and 1?
sergeinik [125]
The expression would be

10(2+1)

have a great afternoon!!
7 0
3 years ago
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How does the graph of the function g(x) = 2x – 4 differ from the graph of f(x) = 2x
Lena [83]

9514 1404 393

Answer:

  the y-intercepts differ

Step-by-step explanation:

The x-coefficient is the same for each function, so parallel lines are described. The function g(x) has a y-intercept of -4; f(x) has a y-intercept of 0.

The graphs differ in their intercepts.

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<em>Additional comment</em>

g(x) can be considered to be a translation downward of f(x) by 4 units. The same graph of g(x) can be obtained by translating f(x) to the right by 2 units. That is, both the x-intercepts and y-intercepts differ between the two functions.

5 0
2 years ago
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