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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3 years ago

A Triangle has an area of 36cm^2. The base and height are scaled by a factor of 5. What is the area of the resulting triangle?

Finger [1]

Answer:

Area of resulting triangle will be 900 $cm^2$ .

Step-by-step explanation:

When sides of any polygon if scaled by a factor of k

then area is scaled by $k^2$

According to the above statement

therefore here in the question since area of original triangle was 36 $cm^2$

and both base and height are scaled by a factor of 5.

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3 years ago

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2 years ago

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