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3 years ago

What is PQ in the given figure?

Mathematics

1 answer:

Zanzabum3 years ago

3 0

Answer:

Step-by-step explanation:

The product of distances from P to the two intersection points along the same secant (tangent) is the same for each. For this purpose, the tangent can be considered to intersect the circle twice at the same point. That is ...

PN·PM = PQ²

x(2x +7) = (x +6)²

2x² +7x = x² +12x +36

x² -5x -36 = 0

(x -9)(x +4) = 0 . . . . . . . true for x=9, x=-4

The relevant value of x is 9.

PQ = x +6 = 9 +6

PQ = 15

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Please help with #2 and #4

Zinaida [17]

Answer:

Problem 2: k = 3

Problem 4: NO SOLUTION

Step-by-step explanation:

Problem 2 work:

-4/3(12k + 27) = -57 - 9k

-16k - 36 = -57 - 9k -ADD THE -9k TO ITSELF AND TO -16k-

-7k - 36 = -57 -ADD THE -36 TO ITSELF AND -57-

-7k = -21

Problem 4 work:

5/2(6w - 16) = 18w -(3w + 40)

15w - 40 = 18w - 3w - 40 -ADD THE -3w TO THE 18w-

15w - 40 = 15w - 40

NO SOLUTION BECAUSE BOTH SIDES ARE THE SAME

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3 years ago

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Yakvenalex [24]

Answer:

$5.04

Step-by-step explanation:

4.5 x 1.12=5.04

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3 years ago

One step equations with fractions

Artist 52 [7]

Answer:

9=48

Step-by-step explanation:

shown above in the photo hope it helps

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3 years ago

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Express sin S as a fraction in simplest terms. R S

enyata [817]

Answer:

$\sf Sin \ S = \dfrac{2}{9}$

Step-by-step explanation:

<h3>Trigonometry ratios:</h3>

$\sf \boxed{\bf Sin \ S = \dfrac{opposite \ side \ of \ \angle S}{hypotenuse}}$

$\sf = \dfrac{RQ}{SQ}\\\\= \dfrac{2}{9}$

5 0

2 years ago

Correct answers only please!

lutik1710 [3]

Answer:

$1512

Step-by-step explanation:

Using the given formula :

I = P × R × T

I = 75600 × 1/100 × 2

I = $1512

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