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Leya [2.2K]
3 years ago
13

Find the equation of the circle in standard form for the given center (h, k) and radius r: (h, k) = (5, 4), r = 2

Mathematics
1 answer:
kenny6666 [7]3 years ago
7 0
If cente ris (h,k) and radius is r then
equatn is (x-h)^2+(y-k)^2=r^2

so


center (5,4)
r=2
h=5
k=4

(x-5)^2+(y-4)^2=2^2
(x-5)^2+(y-4)^2=4

first option
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3 0
3 years ago
Find the equation of the line that is parallel to x=6y-5 and that passes through (5,-3). express answer in standard form
Anestetic [448]

Answer:

Final answer is x-6y=23

Step-by-step explanation:

We need to find the equation of the line that is parallel to x=6y-5 and that passes through (5,-3).

So first we need to find the slope of given line.

rewirite x=6y-5 in y=mx+b form

x+5=6y

\frac{1}{6}x+\frac{5}{6}=y

Compare given equation with y=mx+b

we get: m=1/6

We know that parallel equations has equal slope.

Then slope of required line m=1/6

Now plug the given point (5,-3) and slope m=1/6 into point slope formula:

y-y_1=m\left(x-x_1\right)

y-(-3)=\frac{1}{6}\left(x-5\right)

y+3=\frac{1}{6}x-\frac{5}{6}

y=\frac{1}{6}x-\frac{5}{6}-3

y=\frac{1}{6}x-\frac{23}{6}

Now we need to rewrite that equation in standard form. Ax+By=C.

6y=x-23

x-23=6y

x-6y=23

Hence final answer is x-6y=23

6 0
4 years ago
5(y+2/5)=-13<br> what is y
jolli1 [7]

Answer:

y=11/5

Step-by-step explanation:

first divide by 5 on both sides

y+2/5=-13/5

subtract 2/5 on both sides to isolate the y

y=11/5

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3 years ago
Read 2 more answers
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myrzilka [38]

Answer:

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An inverse variation is

xy = k where k is the constant of variation

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72 = k

xy = k

Let y = 12

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Divide each side by 12

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3 years ago
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scZoUnD [109]

Answer:

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Step-by-step explanation:

Since he's paid semi monthly,literally half a month, which is 1125$

Then full month will be 1125×2

Which is 2250

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5 0
3 years ago
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