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Nadya [2.5K]
2 years ago
9

Divide (6x^3 + 26x^2 + 16x - 24) / (x + 3)

Mathematics
1 answer:
MatroZZZ [7]2 years ago
7 0

Answer:

2(x+2)(3x-2)

Step-by-step explanation:

Hope I helped you

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On a coordinate plane, rhombus W X Y Z is shown. Point W is at (7, 2), point X is at (5, negative 1), point Y is at (3, 2), and
Otrada [13]

Answer:

P = 4\sqrt{13}

Step-by-step explanation:

Given

W = (7, 2)

X = (5, -1)

Y = (3, 2)

Z =(5, 5)

Required

The perimeter

To do this, we first calculate the side lengths using distance formula

d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2

So, we have:

WX = \sqrt{(5- 7)^2 + (-1 - 2)^2

WX = \sqrt{13}

XY = \sqrt{(3-5)^2 + (2--1)^2}

XY = \sqrt{13}

YZ = \sqrt{(5-3)^2 + (5-2)^2}

YZ = \sqrt{13}

ZW = \sqrt{(7 - 5)^2 + (2 - 5)^2}

ZW = \sqrt{13}

The perimeter is:

P = WX + XY + YZ + ZW

P = \sqrt{13}+\sqrt{13}+\sqrt{13}+\sqrt{13}

P = 4\sqrt{13}

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Which of the following is NOT a perfect square trinomial?
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Answer:

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Step-by-step explanation:

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<h3>The cost of purchasing baby chicks at  $4.50 per chick represents proportional relationship</h3>

<em><u>Solution:</u></em>

in a proportional relationship, one variable is always a constant value times the other.

y = kx

Where, k is a constant

<em><u>Option 1</u></em>

The cost of purchasing hay for $26 a  bale with a delivery charge of $30

Cost = $ 26 a bale + 30

This does not forms a proportional relationship

<em><u>Option 2</u></em>

The cost of purchasing baby chicks at  $4.50 per chick

Let "x" be the number of chicks

Therefore,

cost = 4.50 \times x

Thus, this forms a proportional relationship

<em><u>Option 3</u></em>

The cost of purchasing fencing at $29  a linear foot with an installation fee of  $300

cost = $ 29 a linear foot + 300

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<em><u>Option 4</u></em>

The cost of renting a backhoe for $79  per hour with a non-refundable deposit  of $300

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