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3 years ago

Simplify the number using the imaginary unit i. −144‾‾‾‾‾√

Mathematics

2 answers:

Sonbull [250]3 years ago

4 0

Answer:

12i

Step-by-step explanation:

The square root of 144 is 12 but the square root of a negative number results to an i after the real number.

Lilit [14]3 years ago

3 0

Assuming you mean sqrt(-144, we can use some properties of square roots to figure this out. sqrt(x*y) = sqrt(x) * sqrt(y)

We have sqrt(-1*144) = sqrt(-1) * sqrt(144). That would be i * 12, which is 12i.

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Angle A and Angle B are vertical angles. If m

damaskus [11]

Answer:

∠B = 17°

Step-by-step explanation:

Vertical angles are congruent, thus

5x + 7 = x + 15 ( subtract x from both sides )

4x + 7 = 15 ( subtract 7 from both sides )

4x = 8 ( divide both sides by 4 )

x = 2

Hence

∠B = 5x + 7 = (5 × 2) + 7 = 10 + 2 = 17°

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2 years ago

Javier is cooling a liquid in a science lab. The liquid starts at 85 degrees, and he cools it 3.5 degrees every minute for 12 mi

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2 years ago

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2 years ago

Solve the system of equations. 10x+y=−20 y=2x2−4x−16 ( , ) and ( , )

Sladkaya [172]

I will go about solving this using the elimination method.

First, convert the equations.

10x + y = -20
4x + y = -12

Second, find the easiest variable to get rid of and get rid of it! (In this case, y) We will subtract to get rid of y.

6x = -8

Third, you want to solve the equation.

6x = -8 (divide by 6)
x = $-1 \frac{1}{3}$

Fourth, solve for y by inserting the answer for x into one of the equations.

10( $-1 \frac{1}{3}$ ) + y = -20
$-13 \frac{1}{3}$ + y = -20 (subtract $-13 \frac{1}{3}$ )
y = $-6 \frac{2}{3}$

The solution for this system of equations is ( $-1 \frac{1}{3}$ , $-6 \frac{2}{3}$ ).

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2 years ago

Read 2 more answers

The population of New York City in 1840 was 312,710. The population of New Orleans, Louisiana was 102,193 in that year. What was

MaRussiya [10]

Answer

Piper is Correct

Step-by-step explanation:

312,710+102,193= 414,903

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3 years ago