Which choice is equivalent to the expression below?

Mathematics

1 answer:

n200080 [17]3 years ago

6 0

Given:

Consider the expression is $\sqrt{-12}$ .

To find:

The value of given expression.

Solution:

We have,

$\sqrt{-12}$

It can be written as

$\sqrt{-12}=\sqrt{-1\times 12}$

$\sqrt{-12}=\sqrt{-1}\times \sqrt{12}$ $[\because \sqrt{ab}=\sqrt{a}\sqrt{b}]$

$\sqrt{-12}=i\times \sqrt{12}$ $[\because \sqrt{-1}=i]$

$\sqrt{-12}=\sqrt{12}i$

Therefore, the value of given expression is $\sqrt{12}i$ .

Note: all options are incorrect.

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How to solve (3p⁴ + 2q⁴)²

IRINA_888 [86]

Answer:

9p⁸ + 12p⁴q⁴ + 4q⁸

Step-by-step explanation:

(3p⁴ + 2q⁴)² ⇒ The square of (3p⁴ + 2q⁴)

Squares are such bases that multiply itself two times.

⇒ (3p⁴ + 2q⁴)(3p⁴ + 2q⁴)

<u>Simplifying the expression using (a + b)(a + b) = (a x a) + (ab) + (ab) + (b²)</u>

⇒ (9p⁸ + 6p⁴q⁴ + 6p⁴q⁴ + 4q⁸)

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3 0

3 years ago

Read 2 more answers

Jose is working two summer jobs, making $10 per hour washing cars and $9 per hour walking dogs. Last week Jose worked a total of

Setler [38]

Answer:

x+y =13

10x + 9y =122

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations:

The sum of the hours he worked washing cars (x) and the hours he worked walking dogs(y) will be equal to the total hours worked (13)

x+y =13

For the second equation the product of the number of hours he worked washing cars(x) and the price per hour ($10) plus the product of the number of hours he worked walking dogs (y) and the price per hour ($9) will be equal to the total amount earned (122)-