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ad-work [718]
3 years ago
6

(-2x-8) (-3x² + 4x+5)

Mathematics
1 answer:
marissa [1.9K]3 years ago
3 0

Answer:6x^3+16x^2-42x-40

Step-by-step explanation:

To expand

(-2x-8)(-3x^2+4x+5)

6x^3-8x^2-10x+24x^2-32x-40

Collect like terms

6x^3-8x^2+24x^2-10x-32x-40

6x^3+16x^2-42x-40

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Simplify the expression 4 + 23−|−4| <br> A.16 B.4 C.8 D.12
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Answer: =23

Step-by-step explanation:

4+23-\left|-4\right|

=4+23-4

=23

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12

Step-by-step explanation:

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y=7x?

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3 years ago
Let u = &lt;-4, 3&gt;. Find the unit vector in the direction of u, and write your answer in component form. (2 points)
lana66690 [7]

Answer:  < -4/5,  3/5>

This is equivalent to writing < -0.8, 0.6 >

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

Explanation:

Draw an xy grid and plot the point (-4,3) on it. Draw a segment from the origin to this point. Then draw a vertical line until reaching the x axis. See the diagram below.

We have a right triangle with legs of 4 and 3. The hypotenuse is \sqrt{4^2+3^2} = \sqrt{16+9} = \sqrt{25} = 5 through use of the pythagorean theorem.

We have a 3-4-5 right triangle.

Therefore, the vector is 5 units long. This is the magnitude of the vector.

Divide each component by the magnitude so that the resulting vector is a unit vector pointing in this same direction.

Therefore, we go from < -4, 3 > to < -4/5,  3/5 >

This is equivalent to < -0.8, 0.6 > since -4/5 = -0.8 and 3/5 = 0.6

Side note: Unit vectors are useful in computer graphics.

6 0
2 years ago
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