Find the size of angle x.

Mathematics

2 answers:

zhenek [66]2 years ago

7 0

Answer:

111°

Step-by-step explanation:

By exterior angle theorem:

$x = 82 \degree + 29 \degree \\ = 111 \degree$

Inga [223]2 years ago

5 0

Answer:

x = 111

Step-by-step explanation:

180- 82 -29 is 69 and 180-69 is x which x is equal to 111

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What are all of the real roots of the following polynomial? f(x) = x4 - 13x2 + 36

GREYUIT [131]

ANSWER

A. -3, -2, 2, and 3

EXPLANATION

The given polynomial function is,

$f(x) = {x}^{4} - 13 {x}^{2} + 36$

To find the real roots, we equate the function to zero to obtain;

${x}^{4} - 13 {x}^{2} + 36 = 0$

We can solve this equation as a quadratic equation in
${x}^{2}.$

Thus we rewrite the equation as,

$({x}^{2})^{2} - 13 {x}^{2} + 36 = 0$

We split the middle term to get,

$({x}^{2})^{2} - 9 {x}^{2} - 4 {x}^{2} + 36 = 0.$

We factor to get,

${x}^{2} ( {x}^{2} - 9) - 4( {x}^{2} - 9) = 0$

We factor to get,

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Either

${x}^{2} - 9 = 0$
or

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$x = \pm \sqrt{9} \: or \: x = \pm \sqrt{4}$
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$x=-3,-2,2,3$

The correct answer is A

5 0

3 years ago

Read 2 more answers

A car moving at a constant speed passed a timing device at t=0. After 9 seconds, the car has traveled 837 ft. Write a linear fu

diamong [38]

Answer:

at t=0 the car has moved 0 feet, also you know it has a constant speed so you get the points:

P1:(0,0) therefore you know b, the y-intercept=0

P2:(8,840)

insert P2 into y=mx+b

840=8m+0

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