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lora16 [44]
3 years ago
9

Rewrite the equation by completing the square. x^2+ 10x + 24 = 0

Mathematics
1 answer:
Zarrin [17]3 years ago
3 0
The answer is X= -4 or x = -6
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150% of 22 is what number
nataly862011 [7]
The answer to 150% of 22 is 33
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3 years ago
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One side of a rectangle is 6 yd longer than three times another side. The area of the rectangle is 72 yd2. Find the length of th
TiliK225 [7]

Answer:

18 yds

Step-by-step explanation:

Let the length and width be L and W respectively.

Then L· W = area = 72 yd², so that L = (72 yd²) / W.

But also L = 3W + 6 yd.  Subbing this into  L· W = area = 72 yd², we get:

(3W + 6) · W = 72, or

3W² + 6W - 72 = 0.  Since all  four terms are evenly divisible by 3, we get:

W² + 2W - 24 = 0, which factors as follows:

(W + 6)(W - 4) = 0.  Then W + 6 = 0, or W = -6 (makes no sense for a length), and W - 4 = 0 yields W = 4 yds.

If the shorter side is of length 4 yds, then the longer side is of length

L = 3(4 yds) + 6 yds = 18 yds

4 0
3 years ago
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Order these equations to match the steps used to solve the equation 2(5x - 3) = 8.
Romashka-Z-Leto [24]

Answer:

x = 7/5 equivalent to 1 2/5

Step-by-step explanation:

Given equation:

2(5x - 3) = 8

Step 1: Distributive property.

10x - 6 = 8

Step 2: Addition property of equality

10x - 6 = 8

Add 6 to both sides

10x = 14

Step 3: Division property of equality

Divide both sides by 10 to solve for x

10x = 14

x = 14/10

= 7/5

x = 7/5

3 0
3 years ago
If f(−1) = −3 and f prime of x equals the quotient of 4 times x squared and the quantity x cubed plus 3 , which of the following
lora16 [44]
<span>f(–1.1) = 4(-1.1)^2 / [(-1.1)^3 + 3]
</span>f(–1.1)  = 4.8 / 1.7
f(-1.1) = 2.8

answer
<span>2.8</span>
7 0
3 years ago
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<img src="https://tex.z-dn.net/?f=e%20%3D%20%20%5Cfrac%7Bo%20%2B%204m%20%2B%20p%7D%7B6%7D%20" id="TexFormula1" title="e = \frac
evablogger [386]

\dfrac{o+4m+p}{6}=e\qquad\text{multiply both sides by 6}\\\\o+4m+p=6e\qquad\text{subtract o and 4m from both sides}\\\\\boxed{p=6e-o-4m}

4 0
3 years ago
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