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katrin2010 [14]
3 years ago
6

Factor this polynomial expression. X^2 + 8x + 16

Mathematics
1 answer:
andrezito [222]3 years ago
3 0

Answer:

D. (x + 4)(x + 4)

Step-by-step explanation:

The poynomial x^2 + 8x + 16 is a perfect trinomial.

Perfect trinomials are when the square root of the first term, multiplied by the square root of the third term, multiplied by 2, is equal to the middle term.

In trinomial ax² + bx + c, it is perfect when:

(2) (√(ax²)) (√c) = bx

In x² + 8x + 16,

2(√x²)(√16) = 8x

The formula for a perfect trinomial is:

ax² ± bx + c   =  (√(ax²) ± √c)(√(ax²) ± √c)   =  (√(ax²) ± √c)²

Open up two brackets. Square the first and last term, and they are either added or subtracted based on the sign before the middle term.

In x² + 8x + 16,

(√x² + √16)² = (x + 4)² = (x + 4)(x + 4)

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The length of a rectangular field is 7 m less than 4 times the width. The perimeter is 136 m. Find the width and the length
Helga [31]

Answer:

Step-by-step explanation:

Represent the width by W.  Then, "The length of a rectangular field is 7 m less than 4 times the width" expressed symbolically is

L = 4W - 7 (dimensions in meters)

Recall that the perimeter formula in this case is P = 2L + 2W, and recognize that the perimeter value is 136 m.  After substituting 4W - 7 for L, we get:

136 m = 2(4W - 7) + 2W, or

136 = 8W - 14 + 2W, or

150 = 10W        These three equations are equivalent mathematical statements.

150 = 10W reduces to W = 15 (meters).

Part A:  the independent variable is W, the width of the field.

Part B:  The mathematical statement is 136 m = 2(4W - 7) + 2W, which after algebraic manipulation becomes 150 = 10W.

Part C:  The above equation can be solved for W:  W = 15 meters.  This is the value of the independent variable.

6 0
2 years ago
Anybody can help? (Here's a pfp)
Tasya [4]

First make a guest check

My Guest check #9

1 donut = $1.29

Donut holes = $4.89

Dozen Donuts = $12

Donut Holes = $4.89

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$23.07 * 8% =<em> $24.92 is the 9th check list</em>

My Guest check #10

1 donut = $1.29

1 donut = $1.29

Dozen Donuts = $12

Donut Holes = $4.89

$1.29 + $1.29 + $12 + $4.89 = $19.47

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2 years ago
Activity ||| : Define the following terms:
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Step-by-step explanation:

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8 0
3 years ago
In an examination there are four multiple choice questions with 3 options each, of which one option is the correct answer. In ho
mina [271]
4 multiple choice questions
3 answers per question

4 × 3 = 12

<em>12 possible answers total</em>

12 - 4 = 8

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</em><em>4 correct answers
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<em>
</em><em>81 possible ways they can answer
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</em>Only one of those ways is 100% correct.
<em>
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Half of the diameter so therefore you divide 44/2
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3 years ago
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