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never [62]
3 years ago
9

The point (5,4) lies on a circle. what is the length of the radius of this circle if the center is located at (3,2)

Mathematics
1 answer:
Art [367]3 years ago
4 0
Use the x and y values from your point and the h and k from the center to write the equation you need to solve for r.  The general form of the equation for a circle is (x-h) ^{2} +(y-k) ^{2} = r^{2}.  We will fill in accordingly: (5-3) ^{2}+(4-2) ^{2} = r^{2}.  Solve for r to get that r= \sqrt{8}
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If you have 60 million what would 48% be
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6 0
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Suppose you can factor x^2 +bx +c as (x+p)(x+q) . If c<0, what could be the possible values of p and q?
Anna11 [10]
Ans: Option A

Explanation:
Let's solve it smartly!
Given expression: x^{2} + bx +c --- (A)
Factors: (x+p)(x+q)
Condition: c<0
Now let us expand (x+p)(x+q):
=> x^{2} + (p+q)x + pq  --- (B)

By comparing (B) with (A), we can say that:
pq = c --- (C)

Now, as the condition says, c<0, it means either p or q is negative. Both cannot be positive or both cannot be negative.

1) If p>0, q>0, it means c>0 since (+p)(+q) = (+c)(according to equation (C)). Condition is not met.
Hence, option B and D are wrong.

2) If p<0, q<0 it means c>=0 since (-p)(-q) = (+c)(according to equation (C)). Condition is not met.
Hence option C is out as well.

We are left with Option A:p<0, q>0 it means c<0 since (-p)(+q) = (-c)(according to equation (C)).
Condition is MET!
Hence,
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4 0
3 years ago
Read 2 more answers
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maks197457 [2]
<span>2(3x + 7) = -22
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Final Answer: x=-6</span>
5 0
3 years ago
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I don't exactly understand how to do this could someone please explain it v = 1/3 πr2h for h.
Solnce55 [7]

What it is asking you to do is solve for h rather than V. You want h all by itself on one side of the equation.

Step One

Multiply both sides by 3

3*V = 3*(1/3 \pir²h

3V = \pir²* h Divide both sides by r²

\dfrac{3*V}{r^{2}}  = \pi * h . . . . . . Divide by pi

\dfrac{3*V}{ \pi * r^{2}}  = \dfrac{\pi * h}{\pi}

\text{h =} \dfrac{3*V}{ \pi * r^{2}} <<<<<< Answer

6 0
3 years ago
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