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3 years ago

(8m6+ 4m) + (5m-m + 7m6) + 2m(5m2)

Mathematics

1 answer:

sp2606 [1]3 years ago

7 0

Answer:

8m + 10m³ + 15m⁶

Step-by-step explanation:

Combine all like-terms:

4m + [5m - m] = 8m

7m⁶ + 8m⁶ = 15m⁶

2m[5m²] = 10m³ [According to the Product-to-Power Exponential Rule, whenever you multiply terms with exponents and coefficients, you add the exponents while you multiply the coefficients.]

All the like-terms have been paired up, and so you have your answer.

I am joyous to assist you anytime.

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Given that cos(theta) = 8/17 and that theta lies in Quadrant IV, what is the exact value of sin 2(theta)?

Deffense [45]

Answer: $-\frac{240}{289}$

=========================================================

Explanation:

Use the pythagorean trig identity $\sin^2(\theta)+\cos^2(\theta) = 1$ and plug in the fact that $\cos(\theta) = \frac{8}{17}\\\\$

Isolating sine leads to $\sin(\theta) = -\frac{15}{17}\\\\$ . I'm skipping the steps here, but let me know if you need to see them.

The result is negative because we're in quadrant 4, when y < 0 so it's when sine is negative.

Therefore,

$\sin(2\theta) = 2\sin(\theta)\cos(\theta)\\\\\sin(2\theta) = 2*\left(-\frac{15}{17}\right)*\left(\frac{8}{17}\right)\\\\\sin(2\theta) = -\frac{240}{289}\\\\$

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2 years ago

200 + 10x = 120 + 15x now solve the equation to find x, the number of hours that both companies will charge the same ammount

torisob [31]

Answer:

Step-by-step explanation:

Given the equation, $200 + 10x = 120 + 15x$ , let's solve for x as follows,

Subtract 200 from both sides

$200 + 10x - 200 = 120 + 15x - 200$

$10x = - 80 + 15x$

Subtract 15x from both sides

$10x - 15x = - 80 + 15x - 15x$

$-5x = - 80$

Divide both sides by -5

$\frac{-5x}{-5} = \frac{-80}{5}$

$x = 16$

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3 years ago

A skydiver is falling at approximately 28 feet per second. Find the skydiver's change in altitude

Free_Kalibri [48]

9514 1404 393

Answer:

-140 feet

Step-by-step explanation:

The relation between speed, distance, and time can be written ...

distance = speed × time

distance = (28 ft/s)(5 s) = 140 ft

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