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miv72 [106K]
3 years ago
13

Subtract the linear expressions. (-3+4x-9x)-(9-11x+7) Answer: PLZ HELP PLZ!!!

Mathematics
1 answer:
vovangra [49]3 years ago
8 0

Answer:

6x - 19

Step-by-step explanation:

(-3 + 4x - 9x) - (9 - 11x + 7)

first combine like terms

(-3 - 5x) - ( 16 - 11x)

because the negative is on the outside of the equation it gets distributed inside

-3 - 5x - 16 + 11x

and then solve

6x - 19

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3 years ago
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The surface area of a given cone is 1,885.7143 square inches. What is the slang height?
kap26 [50]

Answer:

If r >> h, the slang height of the cone is approximately 23.521 inches.

Step-by-step explanation:

The surface area of a cone (A) is given by this formula:

A = \pi \cdot r^{2} + 2\pi\cdot s

Where:

r - Base radius of the cone, measured in inches.

s - Slant height, measured in inches.

In addition, the slant height is calculated by means of the Pythagorean Theorem:

s = \sqrt{r^{2}+h^{2}}

Where h is the altitude of the cone, measured in inches. If r >> h, then:

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And:

A = \pi\cdot r^{2} +2\pi\cdot r

Given that A = 1885.7143\,in^{2}, the following second-order polynomial is obtained:

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Roots can be found by the Quadratic Formula:

r_{1,2} = \frac{-2\pi \pm \sqrt{4\pi^{2}-4\pi\cdot (-1885.7143)}}{2\pi}

r_{1,2} \approx -1\,in \pm 24.521\,in

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3 years ago
If you go on a road trip of 270 miles in the mountains and 7/ 10 of the trip is downhill, how many miles of the trip are not dow
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Answer:

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Now we have To calculate Miles that are not downhill (uphill)

But first I calculated for the number of downhill miles

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To get the number of not downhill miles

I subtracted 189 from the total number of miles on the question.

270 - 189

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Therefore 81 Miles of the trip are not downhill.

If you have anymore questions or need clarity please let me know on the comment section. Thank you and Good luck!

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