MATHEMATICS HIGH SCHOOL

What is the factored form of the polynomial?

x2 − 12x + 27?

Answers

Answer 1
Answer:

Answer:

The factors of the expression in the question x² − 12x + 27 = 0  are (x - 9)(x -3) .

Step-by-step explanation:

As given the expression in the question be as follow .

x² − 12x + 27 = 0

x² - 9x - 3x + 27 = 0

x (x - 9) -3 (x -9) = 0

(x - 9)(x -3) = 0

Therefore the factors of the expression in the question x² − 12x + 27 = 0  are (x - 9)(x -3) .
Answer 2
Answer:

The factored form of the polynomial ( x² - 12x + 27 ) is ( x-3 )( x-9 ).

What is the factored form of the polynomial?

Given that;

  • x² - 12x + 27
  • Factored form = ?

First, we think of two numbers where their addition gives -12 and their multiplication gives 27.

-3 and -9 fits perfectly.

Hence we have;

x² - 12x + 27

( x-3 )( x-9 )

Therefore, the factored form of the polynomial ( x² - 12x + 27 ) is ( x-3 )( x-9 ).

Learn more about factorizations here: brainly.com/question/1863222

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Rewrite in simplest radical form x^ 5/6 over x^ 1/6 show each step of your process

Answers

Answer:

The simplest Radical = \sqrt{x^(3) }

Step-by-step explanation:

The two terms of the fraction are x^{(5)/(6)}⇒numerator

and x^{(1)/(6)}⇒denominator

Both of them are same variable x

So we can use the rule of the power:

If we divide to terms have the same base we subtract their powers

\frac{x^{(5)/(6) } }{x^{(1)/(6) } }=x^{(5)/(6)-(1)/(6)  }=x^{(4)/(6) } =x^{(2)/(3) }

If the power is in the shape of fraction so the numerator of the fraction represents the radical and the denominator represents the power inside the radical.

x^{(2)/(3) }=\sqrt{x^(3) }

Answer:  \bold{\sqrt[3]{x^2} }

Step-by-step explanation:

\frac{x^{(5)/(6)}}{x^{(1)/(6)}}\n\n\n=x^{(5)/(6)-(1)/(6)}}}\n\n\n=x^{(4)/(6)}}}\n\n\n=x^{(2)/(3)}}}\n\n=\sqrt[3]{x^2}

Find the vertex of a function f(x)=-3x^2+9x-15 by completing the square

Answers

The vertex will be (3/2, - 33/4)

Tony is standing at sea level. From his location, the angle of elevation of the top of Blue Mountain is 23°. Staying at sea level, he walks 220 yards toward the mountain. The angle of elevation of the top is now 27°. Find the height of Blue Mountain. Round intermediate results to 3 decimal places and the final answer to 1 decimal place.

Answers

Answer:

559.2 yards.

Step-by-step explanation:

Let the height of the mountain be x yards and the distance from the second location to the base of the mountain be y yards.

Then we have the equations:

tan 27 = x/y

tan 23 = x / (220 + y)

From the first equation  y =  x/ tan27 so substituting in the second one we have:

tan 23 =  x / (220 + x / tan 27)

Cross multiply:

x = 220 tan23 +  x tan 23 / tan 27

x =  93.384 + 0.833 x

x - 0.833x = 93.384

x = 93.384 / 0.167

x = 559.2 yards to 1 dec place (answer).

There are 3 white marbles and 7 blue marbles in a bag. Jamie will randomly pick two marbles out of the bag without replacing the first marble chosen. What is the probability of Jamie's picking 2 white marbles?A) 1/15
B) 1/18
C) 1/7

Answers

Answer:

The answer would be A 1/15.

Step-by-step explanation:

The answer is 1/15 because you have 10 marbles in all and 3 of those 10 marbles are white. You get 3/10 and than since it does not say that it was replaced you take one white marble away which would give you 2/9. so you take 3/10 * 2/9 = 1/15 (when everything is simplified)

Hope this helps to explain it! :)

The answer is a 1/15

A circle is shown. A secant and a tangent intersect at a common point outside of the circle to form an angle that measure 51 degrees. The measure of the first arc formed is x degrees and the measure of the second arc formed is 160 degrees.What is the value of x?

x =

Answers

The value of x in the circle is 58°

Secant and tangent intersection

when a secant and a tangent meets outsides of a circle, the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs. Therefore,

51° = 1 / 2 (160 - x)

Therefore,

51 = 80 - x / 2

51 - 80 = - 1 /2 x

-29 = - 1 / 2 x

multiply both sides by -2

-29 ×  2 = - 1 / 2 x × -2

x = 58

Therefore, the value of x is 58 degrees

learn more on secant and tangent here;brainly.com/question/14697178

Answer:

58

Step-by-step explanation:

just did it on edg

Solve : 11 (9-v)=0 a) -9 b) 9 c) 99 d)-99

Answers

B. V=9Multiply it out, then subtract 99 from both sides, then divide by 11
the answer would be 9
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