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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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Jasmine borrowed $15,000 for 8 years and she paid $6,600 in interest. What was the interest rate for Jasmine's loan?
weeeeeb [17]

Answer:

5.5%

Step-by-step explanation:

To find the interest rate, use the equation:  I = prt

I = Interest = $6,600

p = principal = $15,000

r = rate = unknown

t = time = 8 years


Now plug the numbers into the equation.

6,600 = 15,000 * r * 8

6,600 = 120,000 * r


Now isolate the variable by dividing both sides of the equation by 120,000.

0.055 = r


Now change the rate to a percent by moving the decimal point 2 digits to the right.

5.5% = r   OR   r = 5.5%

4 0
2 years ago
How to solve X^4-19x^2+48=0
ZanzabumX [31]
Two numbers that add up to -19 and multiply to 48 are -16 and -3:

(x^4-19x^2+48)=0\\(x^2-16)(x^2-3)=0\\(x+4)(x-4)(x^2-3)=0

So, the solutions come from each parentheses:  x+4=0, x-4=0, and x^2-3=0.

x+4=0
x = -4

x-4=0
x = 4

x^2-3=0
x^2 = 3
x = +/- √3

So, the solutions are -4, -√3, √3, and 4.
4 0
3 years ago
Find the slope of the line passing through the points (-5,3) and (-5,-7)
padilas [110]

Answer:

The slope is Undefined.

Step-by-step explanation:

8 0
2 years ago
Pls only answer if you know it
Rainbow [258]

Answer:

Interest =PTR/100

12000×3×15/100

540000/100

$5400..

4 0
2 years ago
A sundial that measures 38 inches across its center is shown on the concrete slab. In terms of π, what area of the slab is cover
OLEGan [10]
A=pi19^2, will be the area of the sundial
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3 years ago
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