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olga55 [171]
3 years ago
7

Find the prime factorization of 60, and then write in Standard Form, Expanded Form, and Exponential Form.

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
6 0
Jesjdjdjdjdjdjdjdhdhdhdhdhdhd
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Pls help, easy geometry question
Lemur [1.5K]

x^2 + y^2 + 2x - 6y + 1 = 0

x^2 +2x + 1 + y^2 - 6y = 0

x^2 + 2( x × 1) + 1^2 + y^2 - 2(y×3) + 3^2 -3^2 =0

(x+1)^2 + (y-3)^2 = 3^2

comparing with circle equation

(x-a)^2 + (y - b)^2 = r^2

where (a , b) is centre of circle.

so we get center of circle is

(-1, 3)

3 0
3 years ago
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Find the equation of the line with slope −2 which goes through the point (9,−7).
goldenfox [79]

Answer:

Here,

slope (m)=-2

y- intercept (c)=-7

Now,

The equation of the line;

or,y=mx+c

or,y= -2x-7

or,2x+y+7=0 is the required equation....

6 0
3 years ago
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Please help me with this:
Katen [24]

Answer:

She used 22 paper fans, 66 balloons, and 32 streamers.

Step-by-step explanation:

In order to solve this problem, we need to find out the value of the paper fans. Because we need to find out the balloon amount, which is 3 times as much. The amount of streamers is 12 fewer than two times. We can't find it out just yet since we don't know the value of the paper fans. To find it out:

First, let's call the amount of paper fan as "x".

Then, we need to find out the amount of balloons. It is 3 times x. Which is the same as 3x.

The equation is now x + 3x + (?) = 120

We need to find out the amount of the (?).

So, to do that, it says the value is 12 fewer than 2 times the value of x. (x, because it is the amount of paper fans.)

It should be 2x-12.

Now, the equation is x+3x+2x-12=120.

Once we solve it, we know "x" is 22.

Now, we can multiply 3 by 22. Which is 66.

Then we can multiply 22 by 2, which is 44, and subtract 12, which is 32.

To double check, 22 + 44 + 32 = 120.

That's your answer!

5 0
3 years ago
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How do you take the antiderivative of (sinxcosx)^2?
gtnhenbr [62]
<span>∫(sinx cosx)^2dx = ∫(1/2sin 2x)^2 dx = 1/4∫sin^2 2x dx = 1/4∫1/2(1 - cos 4x)dx = 1/8∫(1 - cos 4x) dx = 1/8[x - sin 4x / 4] + c = 1/32(4x - sin 4x) + c
</span>
8 0
3 years ago
Kyle is constructing a bar graph to display the percentage of students enrolled in AP courses from 1996-2005. He is planning to
zepelin [54]
Wheres the bar graph? if its the one with like 1990- 10%
1997- 11%
 then no it wouldn't because the numbers are to close for an increment of 5% it should be more like 1%
7 0
3 years ago
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