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3 years ago

What is the sum of √-2 and √-18 a. 4 √2 b. 4 √2i c. 5 √2 d. 5 √2i

1 answer:

7 0

First, it is necessary to take out the i from the root. This is done by factoring out -1 as follows, using the relation √(-1) : = i

√-2 = √(-1)(2) = i√2
√-18 = √(-1)(2)(9) = 3i√2

Simplifying by adding the two terms together:
i√2 + 3i√2 = 4i√2

Therefore the answer is B.

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[Geometry] Is ABC DEF? If so, name the postulate that applies.

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C. because u can't name a congruent triangle by angle angle angle

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3 years ago

Read 2 more answers

Which statements are true about the ordered pair (−4, 0) and the system of equations?

stiv31 [10]

The true statements are:

The ordered pair (−4 , 0) is a solution to the first equation because it makes the first equation true ⇒ 1st answer

The ordered pair (−4 , 0) is a solution to the second equation because it makes the second equation true ⇒ 2nd answer

The ordered pair (−4, 0) is a solution to the system because it makes both equations true ⇒ 4th answer

Step-by-step explanation:

To prove that point (a , b) is a solution of an equation

Substitute x and y in the equation by a and b
If the left hand side is equal to the right hand side, then the point is a solution of the equation
If the left hand side doesn't equal the right hand side, the point is not a solution of the equation

∵ The system of equations is:

2x + y = -8 ⇒ (1)

x - y = -4 ⇒ (2)

The ordered pair is (-4 , 0)

Substitute x by -4 and y by 0 in each equation

∵ x = -4 and y = 0

∵ The left hand side in equation (1) is 2x + y

∵ 2(-4) + 0 = -8 + 0 = -8

∴ The left hand side = -8

∵ The right hand side = -8

∴ The left hand side = the right hand side

∴ (-4 , 0) is a solution of equation (1)

The ordered pair (−4 , 0) is a solution to the first equation because it makes the first equation true

∵ The left hand side in equation (2) is x - y

∵ (-4) - 0 = -4 - 0 = -4

∴ The left hand side = -4

∵ The right hand side = -4

∴ The left hand side = the right hand side

∴ (-4 , 0) is a solution of equation (2)

The ordered pair (−4 , 0) is a solution to the second equation because it makes the second equation true

∵ The ordered pair (-4 , 0) makes the two equations true

∴ The ordered pair (-4 , 0) is the solution of the system of equations

The ordered pair (−4, 0) is a solution to the system because it makes both equations true

Learn more:

You can learn more about the system of linear equations in brainly.com/question/6075514

#LearnwithBrainly

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4 years ago

Marjory practiced the piano for 12 minutes. How many seconds did she practice?

Lorico [155]

Answer:
720 sec
Step-by-step explanation:
In 1 Min=60sec
so 12×60=720
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3 years ago

Read 2 more answers

-2m(m + n - 4) + 5(-2m + 2n) + n(m + 4n - 5)

e-lub [12.9K]

I provided the answer in photo

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3 years ago

A television manufacturer decides to increase its production by 25% per month to meet increasing customer demand. The company cu

Inessa [10]

Answer:

The last graph

Step-by-step explanation:

The problem presented here is similar to a compound interest problem since we have an initial value, a growth constant and the aspect of time.

We can consider the number of television sets currently produced by the company to be our Principal amount;

P = 2000

The rate of increase in production per month can be considered as our interest rate earned;

r = 25% = 0.25

The total number of television sets y will be our Accumulated amount;

A = y

The duration x becomes our time n.

The compound interest formula is given as;

$A=P(1+r)^{n}$

We simply substitute the given information into the formula;

$y=2000(1.25)^{x}$

This is an exponential growth function since the base of the exponent x is greater than 1.

A graph of the function will be an exponential curve passing through ( 0, 2000) since 2000 is our initial value

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3 years ago