All categories

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.

You might be interested in

What is the slope of the line that passes through the points (4, 5) and (12, 7)?

blondinia [14]

Answer:

1/4

Step-by-step explanation:

To find slope, we use the formula rise over run (y2-y1 over x2-x1)

So first, our y's: 7-5=2

And our x's: 12-4=8

2/8 simplifies to 1/4

3 0

3 years ago

Find the negation of the proposition

murzikaleks [220]

In accordance with propositional logic, quantifier theory and definitions of simple and composite propositions, the negation of a implication has the following equivalence:

$\neg (\exists \,x\, (P(x) \implies Q(x))) \iff \forall \,x (\neg \,Q(x) \,\land \,P(x))$ (Correct choice: iii)

<h3>How to find the equivalent form of a proposition</h3>

Herein we have a composite proposition, that is, the union of monary and binary operators and simple propositions. According to propositional logic and quantifier theory, the negation of an implication is equivalent to:

$\neg (\exists \,x\, (P(x) \implies Q(x))) \iff \forall \,x (\neg \,Q(x) \,\land \,P(x))$

To learn more on propositions: brainly.com/question/14789062

#SPJ1

8 0

2 years ago

Solve for X and find the code.

N76 [4]

Answer:

1. x= 8

2. x= 6

3. x= 7

4. x= -8

Code: BECI

Step-by-step explanation:

6 0

3 years ago

5. What is the slope of the line that passes through (-2, 4) and (7, 1)?

just olya [345]

Answer:

Slope: $-\frac{1}{3}$

Step-by-step explanation:

Step 1: Use slope formula to find the slope

$m = \frac{y2 - y1}{x2- x1}=\frac{4-1}{-2-7}=\frac{3}{-9} =-\frac{1}{3}$

Therefore the slope of a line that passes through (-2, 4) and (7, 1) is $-\frac{1}{3}$

4 0

3 years ago

Suppose Y varies directly with x, and y = 25 when x = 140. what is the value of x when y = 36?

Tema [17]

25y.......140x

36y..........x

Cross multiply

25x= 36*140

25x= 5040

x= 5040/25

x= 1008/5

x= 201.6

When y=36 the x will = 201.6

I hope that's help !

4 0

3 years ago