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Lena [83]
3 years ago
6

What is the result when 12x^3+17x^2+21x+10 is divided by 3x +2?

Mathematics
1 answer:
ruslelena [56]3 years ago
5 0

Answer:4x>2+3x+5

Step-by-step explanation:

12x>3+8x>2+9x>2+21x+10

12x>3+8x>2+9x>2+6x+15×10

4x^2(3x+2)+9x^2×6x

4x^2(3x+2)+3x(3x+2)+15x+10

4x^2(3x+2)3x(3x+2)+5(3x+2)

Cancel

3x+2(4×^2+3x+5)

_____________

3x+2

4x^2+3x+5

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65.5

Step-by-step explanation:

(74 + 57)divided by 2 = 65.5

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3r^2-8r-28=0 <br> Solve with quadratic formula
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Read 2 more answers
Given:
oksian1 [2.3K]

Answer:

9 units

Step-by-step explanation:

By the midsegment theorem,

AB=\dfrac{KN+LM}{2}

Since the ratio LM:KN=1:5, then LM=x,\ KN=5x and

18=\dfrac{x+5x}{2}\\ \\18=\dfrac{6x}{2}\\ \\18=3x\\ \\x=6\\ \\LM=6\ units\\ \\KN=30\ units

Draw two heights LE and MF. Quadrilateral ELMF is a rectangle, then EF = LM = 6 units.

Trapezoid KLMN is isosceles trapezoid (KL = MN), then KE = FN and

KE=FN=\dfrac{KN-EF}{2}=\dfrac{30-6}{2}=12\ units

Consider right triangle KLE. By the Pythagorean theorem,

KL^2=LE^2+KE^2\\ \\15^2=LE^2+12^2\\ \\LE^2=15^2-12^2\\ \\LE^2=225-144=81\\ \\LE=9\ units

3 0
3 years ago
From the top of a tower, an object which is 97 m away from the base of the tower, is at a 37° angle of depression.
mario62 [17]
<h3>Answer:  73</h3>

==================================================

Work Shown:

Check out the diagram below. Note the pair of alternate interior angles that are congruent (each 37 degrees). Then focus on triangle ABC. With the reference angle being at A, this means we use the tangent function because BC = x is the opposite side and AB = 97 is the adjacent side.

tan(angle) = opposite/adjacent

tan(A) = BC/AB

tan(37) = x/97

97*tan(37) = x

x = 97*tan(37)

x = 73.094742859971

For the last step, you'll need a calculator that can handle trig functions. Make sure the calculator is in degree mode. The result here is approximate. This rounds to 73 when rounding to the nearest whole number.

7 0
3 years ago
F(x)=2x-3, solve when x=0,-1,2 <br> answers <br> A-3, -1,1 <br> B-3,-5,1 <br> C3,-1,1 <br> D-3,-1,7
guajiro [1.7K]

Answer:

b

Step-by-step explanation:

8 0
3 years ago
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