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3 years ago

Solve for x. Assume that lines which appear tangent are tangent. X=

Mathematics

2 answers:

Amiraneli [1.4K]3 years ago

8 0

Answer:

Step-by-step explanation:

tangent-secant theorem

Orlov [11]3 years ago

5 0

Answer:

x = 32

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(x+18) * 18 = 30^2

(x+18) * 18 = 900

Divide each side by 18

(x+18) * 18/18 = 900/18

(x+18) = 50

Subtract 18 from each side

x+18-18 = 50-18

x=32

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3 years ago

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2 years ago

What is the product? (3x-6) (2x^2 -7x+1)

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<u>Answer-</u>

$\left(3x-6\right)\left(2x^2-7x+1\right)=6x^3-33x^2+45x-6$

<u>Solution-</u>

Given the two polynomials are $3x-6, 2x^2 -7x+1$

So their product will be,

$=\left(3x-6\right)\left(2x^2-7x+1\right)$

Distributing the Parentheses,

$=3x\cdot \:2x^2+3x\left(-7x\right)+3x\cdot \:1+\left(-6\right)\cdot \:2x^2+\left(-6\right)\left(-7x\right)+\left(-6\right)\cdot \:1$

Applying minus-plus rules,

$=3\cdot \:2x^2x-3\cdot \:7xx+3\cdot \:1\cdot \:x-6\cdot \:2x^2+6\cdot \:7x-6\cdot \:1$

Simplifying further,

$=6x^3-33x^2+45x-6$

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3 years ago

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Cos(x°) = (√3)/2
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3 years ago