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ANTONII [103]
2 years ago
7

Select the correct answer. One factor of the polynomial 213 3r2 – 3x + 2 is (t – 2), which expression represents the other facto

r, or factors, of the polynomial? A. (21 + 1) (1 - 1) B. (2r2 + 1) OC. (212 - I + 1) OD. (2x - 1)(1 + 1)​

Mathematics
1 answer:
Darina [25.2K]2 years ago
4 0

Answer:

(x - 2)(x + 1)(2x -1)

Step-by-step explanation:

We use synthetic division as a tool for factoring the given expression.  The coefficients of the terms given are {2, -3, -3, 2}.  If x - 2 is a factor of this expression, then 2 is a root.  We perform synthetic division as follows:

2   /    2     -3      -3     2

                  4       2     -2

    -------------------------------

          2      1        -1      0

Next, we determine whether or not (2x - 1)(x + 1) represents the remaining factor(s).  Using -1 as divisor, we get:

-1    /     2     1     -1

                   -2    1

     ---------------------

             2     -1     0

Since the remainder is zero, x + 1 must be a factor and (2x - 1) the third factor.  Answer D is correct.

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A forest ranger in a 110 ft observation tower sees a fire. The angle of depression is 12 degrees. To the nearest foot, what is t
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The distance from the tower to the fire is 529.10feet

<h3>Angle of depression</h3>

The distance from the tower to the fire is the hypotenuse of the resulting triangle

Given the following

  • Height of the tower = 110ft

Using the SOH CAH TOA identity

sin theta = opp/hyp

sin 12 = 110/H

H = 110/sin12

H = 110/0.2079

H = 529.10

Hence the distance from the tower to the fire is 529.10feet

Learn more on SOH CAH TOA here: brainly.com/question/20734777

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2 years ago
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olga2289 [7]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
Please help me with this!
mafiozo [28]
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3 years ago
A cylinder with a 2 centimeter diameter is drilled through the triangular prism shown on the left find the volume of the prism
saw5 [17]

Answer:

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The volume of a cylinder  = 87.92cm^3

Step-by-step explanation:

The volume does not change for the prism as the hole was drilled.

We can show the drilled space with v(l) and (p) for prism V

v(l) 248.5p - 87.92p + 87.92p

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