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Alona [7]
3 years ago
9

-12x - 60 = 144. Find the value of x.

Mathematics
1 answer:
elena-s [515]3 years ago
5 0

Answer: x = - 17

Step-by-step explanation:

−12x−60=144

add 60 to both sides

-12x-60+60=144+60

simplify

-12x=204

divide both sides by -12

-12/-12 = 204/-12

simplify and ur Answer!! is x=-17

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\text {Hypotenuse}^2 = \text{adjacent}^2+\text{opposite}^2

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324=100+\text{opposite}^2

Subtract 100 from both sides.

224=\text{opposite}^2

Taking square root on both sides.

4\sqrt{14}=\text{opposite}

Using trigonometric ratio formula:

$\sin\theta =\frac{\text{opposite }}{\text{hypotenuse}}

$\sin\theta =\frac{4\sqrt{14} }{18}

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$\csc\theta =\frac{18}{4\sqrt{14} }

$\cos \theta=\frac{\text { adjacent side }}{\text { hypotenuse }}

$\cos \theta=\frac{10}{18}

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3 years ago
Amy wants to sell at most 25 cookies and at least 10 sprites
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Answer:

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Step-by-step explanation:

It is given that,

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Further,

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Also,

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representing this through an equation,

.50x+y\geq 30

Thus the sysytem of equations is given as:

x\leq 25\\y\geq 10\\.50x + y\geq 30

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