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son4ous [18]
3 years ago
15

Could I solve this inequality by completing the square? How would I do so?

Mathematics
1 answer:
sammy [17]3 years ago
8 0

Answer:

\large\boxed{x>-2+\sqrt{14}\ \vee\ x

Step-by-step explanation:

x^2+4x>10\\\\x^2+2(x)(2)>10\qquad\text{add}\ 2^2=4\ \text{to both sides}\\\\x^2+2(x)(2)+2^2>10+4\qquad\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\(x+2)^2>14\Rightarrow x+2>\sqrt{14}\ \vee\ x+2-2+\sqrt{14}\ \vee\ x

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Solve the equation.<br> 8nminus​(3nplus4​)equals11
prisoha [69]

Answer:

n = 3

Step-by-step explanation:

8n - (3n + 4) = 11

8n - 3n - 4 = 11

5n = 11 + 4

5n = 15

n = 3

4 0
2 years ago
Slope 2 and passing through (10,17)
TiliK225 [7]

Answer:

y = 2x -3

Step-by-step explanation:

y = 2x + b

plug the point in to the formula and solve for b

17 = 2 x 10 + b

b = -3

Use this to write the formula y = mx + b

m is slope

6 0
2 years ago
What is the slope of the line that passes through the points (-9, -8)((−15,−16)? Write your answer in simplest form.
alexandr402 [8]

Answer:

Therefore the slope of the line that passes through the points (-9, -8),(−15,−16) is

Slope=\dfrac{4}{3}

Step-by-step explanation:

Given:

Let,

point A( x₁ , y₁) ≡ ( -9 ,-8)

point B( x₂ , y₂ )≡ (-15 ,-16)

To Find:  

Slope = ?

Solution:

Slope of Line Segment AB is given as

Slope(AB)=\dfrac{y_{2}-y_{1} }{x_{2}-x_{1} }

Substituting the values we get

Slope(AB)=\dfrac{-16-(-8)}{-15-(-9)}\\\\Slope(AB)=\dfrac{-16+8}{-15+9}\\\\Slope(AB)=\dfrac{-8}{-6}=\dfrac{4}{3}

Therefore the slope of the line that passes through the points (-9, -8),(−15,−16) is

Slope(AB)=\dfrac{4}{3}

4 0
3 years ago
WILL GIVE BRAINLIEST!<br><br><br> What is the m∠ F?<br><br><br><br><br> thanks for helping
natita [175]
X + x - 5 + 3x + 25 = 180
5x + 20 = 180
5x = 160
x = 32

m<F = x - 5
m<F = 32 - 5
m<F = 27

8 0
3 years ago
Help me I don’t get this!!!
nalin [4]
101 yeo don't venture know
4 0
3 years ago
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