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3 years ago

Which of the following expressions is equal to 2x2 + 18 ?

Mathematics

1 answer:

ehidna [41]3 years ago

4 0

<h3>Answer: Choice C. (2x - 6i)(x + 3i)</h3>

Work Shown:

2x^2 + 18

2(x^2 + 9)

2(x - 3i)(x + 3i) .... see note below

(2x - 6i)(x + 3i)

Note: I used the rule that a^2 + b^2 = (a - bi)(a + bi). I recommend FOILing out the right hand side to confirm the equation is true. You'll use the idea that i^2 = -1.

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PLZZ HELP!!!! ASAP PLZ!!!!<br> XTRA POINTS!!!

schepotkina [342]

Answer:

38.1 cm²

Step-by-step explanation:

area of full circle = π6² = 113.04 cm²

area of 150° segment = (150/360)(113.04) = 47.1 cm²

triangle base = sin 75° x 6 x 2 = 11.59

triangle height = cos 75° x 6 = 1.553

area of triangle = 1/2(11.59)(1.553) = 9 cm²

150° segment - triangle = 47.1 - 9 = 38.1 cm²

3 0

3 years ago

Based on the tables, at what point do the lines y = 3x - 2 and y = -5x - 10 intersect?

Pepsi [2]

Intersect at where x=x and y=y
see where they have the same x and y values
that is at x=-1 and y=-5
intersect at (-1,-5)

8 0

3 years ago

Two more than the Quotient of twelve and a number

chubhunter [2.5K]

Answer:

x/12+2

Step-by-step explanation:

the answer to the question

4 0

4 years ago

Please help ASAP if you know how. Thanks so much

zlopas [31]

I’m not so sure i’m sorry

6 0

3 years ago

Read 2 more answers

A large koi pond is filled from a garden hose at the rate of 12 gal/min. Initially, the pond contains 200 gal of water.

Semmy [17]

a) The linear function that models the amount of water after t minutes is given by:

$V(t) = 200 + 12t$

b) It takes 92 minutes to completely fill the pond.

Item a:

Initially, the pond contains 200 gal of water, that is, the linear function has a y-intercept of 200.
Filled at a rate of 12 gallons per minute, thus the linear function has a slope of 12.

Then, the function is:

$V(t) = 200 + 12t$

Item b:

It takes t minutes to fill the pond, t is found for which:

$V(t) = 1304$