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nalin [4]
3 years ago
13

Find the measure of line segment MK​

Mathematics
1 answer:
katen-ka-za [31]3 years ago
3 0

9514 1404 393

Answer:

  21

Step-by-step explanation:

When secants meet, the product of the length of the pieces from the meeting point to the two circle intersection points is the same for all.

  KL·KM = KJ·KC

Assuming the marks inside the circle apply only to the lengths inside the circle:

  8(8+x+5) = 7(7+2x+1)

  104 +8x = 56 +14x

  48 = 6x

  8 = x

Then the measure of MK is ...

  MK = x+13 = 8+13

  MK = 21

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Answer:

(x - 3)(x + 1)(x + 5)

Step-by-step explanation:

I'd use synthetic division instead.  If we were to find the roots of the given polynomial, we could from them write the factors as well.

The divisor x + 5 corresponds to root x = -5.  Setting up synthetic div.,

-5   )   1    3    -13    -15

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      -----------------------------

           1   -2     -3      0

Since the remainder is 0, we know that -5 is a root and (x + 5) is a factor.  Moreover, we know that the coefficients of the quotient are 1, -2 and -3.

1x² - 2x - 3 can be factored:  the factors are (x - 3) and (x + 1).

So the end result for this problem is (x - 3)(x + 1)(x + 5).

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3 years ago
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Answer:

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Step-by-step explanation:

if the area is 1/4 that would mean that the sides are equal to 1/2. if you stretch 1/2 out 4 times longer that would be equal to 2. 2 x 2 = 4

6 0
2 years ago
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Step-by-step explanation:

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y is equal to 200

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3 years ago
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Answer:

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