DOES the given value make the inequalities true? x + 9 > 21, when x = 15?

Mathematics

2 answers:

Kobotan [32]2 years ago

7 0

Answer:

Yes.

Step-by-step explanation:

When $x=15$ ,

$x+9=15+9=24 > 21$ .

r-ruslan [8.4K]2 years ago

6 0

Answer:

Yes this is true

Step-by-step explanation:

24 is greater than 21; which means this statement is always true.

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Find an equation for the line perpendicular to y = − 1 /9 x + 4 with x-intercept at x = -1

prisoha [69]

Y = (-1/9).x + 4
The slope m of the line perpendicular to y = (-1/9).x + 4 is equal to 9:
(if the product of 2 slopes = - 1, then the 2 lines are perpendicular)

y = 9x + b, Since it passes by the point (-1,0) , then:
0= 9(-1) + b and b = 9
Final equation:

y = 9x+9

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Solving Rational Equations. LCD Method. Show work.<br><br><img src="https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B5x%7D%20%2B%5Cfrac%

Svet_ta [14]

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well, the denominators are 5x and 2x... so the only LCD will just be 10x, since it's divisible by both, so let's use that one.

$\bf \cfrac{2}{5x}+\cfrac{7}{2x}=1\implies \stackrel{\textit{LCD of 10x}}{\cfrac{(2)2~~+~~(5)7}{10x}}=1\implies \cfrac{4+35}{10x}=1\implies \cfrac{39}{10x}=1 \\\\\\ 39=10x\implies \cfrac{39}{10}=x\implies 3\frac{9}{10}=x$