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arlik [135]
3 years ago
11

Find the area of the circle. Round your answer to the nearest tenth. The circle has a radius of 9

Mathematics
1 answer:
Rudik [331]3 years ago
3 0

Answer:

I is at least ten because of nine it rounds to ten

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Find an equation for the line perpendicular to 4x+12y=72 and goes through the point (-9,6)
il63 [147K]

Answer:

Step-by-step explanation:

Given the equation

4x+12y=72

The equation of a line can written as

y=mx+c

Where m is the slope

And c is the intercept on y axis

Then, we need to write the equation given in the form of equation of a line (y=mx+c), by making y subject of the formula

4x+12y=72

12y=-4x+72

Divide through by 12

y=-4x/12 + 72/12

y=-⅓x+6

Then, comparing with equation of a line shows that

m=-⅓ and c=6

So we need to get another linen that is perpendicular to this line and passes through the point (-9,6)

The slope of the line perpendicular to another line is given as

m1=-1/m2

Then, m1=-1÷-⅓

Then, the slope of the perpendicular line is 3

Then, m=3

So apply this to equation of the line

y=mx+c

Then, y=3x+c

So to know c, we will insert the point given(-9,6), x=-9 and y=6

y=3x+c

6=3(-9)+c

6=-27+c

Then, c=6+27

c=33

Then, the equation of line becomes

y=3x+33

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3 years ago
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What value of c makes the polynomial below a perfect square? x^2+10+c
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Answer: Hi there

To find the last term in order to obtain the perfect square, take the middle term, divide it by 2, and take its square. 

10 ÷ 2 = 5

5^2 = 25

Thus, the equation would be x^2 + 10x + 25

The answer is 25

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