2 years ago

Solve the following equation and verify the results4(2x-3)+5(3x-4)=16

Mathematics

2 answers:

Licemer1 [7]2 years ago

7 0

Answer:

I got x=48/23 or 2 2/23

Step-by-step explanation:

Nostrana [21]2 years ago

6 0

4(2x-3)+5(3x-4)=16

8x-12+15x-20=16

23x-32=16

+32 +32

23x=48

/23 /23

x=2.09

DOUBLE CHECK!!!

23(2.09)=48

23(2.09)=48.07(close enough)

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hope it helps

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The terminal side of θ passes through the point (10, 6). What is the exact value of cos θ in simplified form?

seraphim [82]

Answer:

$\frac{5\sqrt{34}}{34}$

Step-by-step explanation:

The formula for cos θ is a/r. A is the first number (10) and b is the second number (6). R is the hypoteneuse which can be found through r = $\sqrt{a^{2} + b^{2} }$ .

In the equation you'd write that as r = $\sqrt{10^{2} + 6^{2}$ which can be simplified to $\sqrt{136$ .

You end up with $\frac{10}{\sqrt{136} }$ and you simplify this by doing $\frac{10 }{\sqrt{136} } * \frac{\sqrt{136} }{\sqrt{136} }$ , ending with the result of $\frac{5\sqrt{34}}{\sqrt{34} }$ .