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dangina [55]
4 years ago
10

What is the center of a circle represented by the equation (x−5)2+(y+6)2=42? (−6,5) (−5,6) (5,−6) (6,−5)

Mathematics
1 answer:
iragen [17]4 years ago
3 0

Answer:

(5,-6)

Step-by-step explanation:

Recall that the equation for a circle is given as:

(x – h)² + (y – k)² = r²

where, the center is represented by point (h,k) and r is the radius.

IF we compare this to our given equation:

(x−5)² + (y+6)² = 42

( x−5 )²+( y-(-6) )² = 42

we see that h = 5 and k = -6

hence the center is located at (5,-6)

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Let p=x^2-2 which equation is equivalent to (x^2-2)^2+18=9x^2-18 in terms of p
Bad White [126]

Answer:

The equivalent equation is p^2 + 18 = 9p

Step-by-step explanation:

p is given by the following relation:

p = x^2 - 2

And we are given the following equation:

(x^2 - 2)^2 + 18 = 9x^2 - 18

On the right side, we can simplify. So

(x^2 - 2)^2 + 18 = 9(x^2 - 2)

Replacing x^2 - 2 by p, the equation is:

p^2 + 18 = 9p

6 0
3 years ago
A line through which two points would be parallel to a line with a slope of 3/4?
Mumz [18]

Answer:

F. (0, 5) and (-4, 2)

Step-by-step explanation:

We need to calculate the slope of each of the given sets of points until we find the set associated with a slope of 3/4:

F. (0,5) and (-4,2) As we go from (-4, 2) to (0,5), x increases by 4 and y increases by 3, so the slope is m = rise / run = 3/4. This is the line with slope 3/4.

5 0
3 years ago
A bank account has a beginning of 560.00. After 6 months, the balance in the account has increased to 572.60. What interest rate
MaRussiya [10]

This is tricky because we are given the interest rate for the year but the problem is figureing the interest for 6 months or 1/2 year. We will have to double the difference before solving for the yearly interest.

572.60 - 560.00 = 12.60 interest added for 6 months x 2 = 25.20 for 12 months

(This problem assumes the interest will stay the same the next 6 months)

We need to find what percent 25.20 is to our original balance.

25.20/560 = x / 100

2520 = 560x

x = 4.5 percent interest

Check .045 x 560.00 = 25.20 interest in one year (or 12.60 in 6 months)

4 0
4 years ago
Part A: If (7^2)^x=1, what is the value of x?<br> Part B: If (7^0)^x=1, what is the value of x?
Fantom [35]
A.
(7^2)^x = 1
(49)^x = 1
thus x = 0

B.
<span>(7^0)^x=1
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</span>
4 0
3 years ago
Helpeith my maths question (points for grabs)
sweet [91]

Answer:

5 -> 8 -> 11 -> 14 -> 17 !! hope it helps

5 0
3 years ago
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