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3 years ago

Which of the following is equal to -27?

Mathematics

2 answers:

Sophie [7]3 years ago

8 0

Step-by-step explanation:

here's the answer to your question

Luden [163]3 years ago

8 0

Answer: Third Choice. 3i√3

Step-by-step explanation:

Concept:

Here, we need to know the idea of radical expression and an imaginary number.

A radical expression is any mathematical expression containing a radical symbol. If you need to multiply the number outside of radical back into the radical, then you need to square the number then multiply.

For example: 2√5. We need to first square 2, which gives us 4. Then, it becomes √(4 × 5) = √20

Imaginary numbers are the numbers when squared it gives the negative result. An imaginary number is a complex number that can be written as a real number multiplied by the imaginary unit i, which is defined by its property i² = −1.

Solve:

3√3 = √(3 × 3²) = √27 FALSE

-3√(3i) = √(3i × (-3)²) = √27i FALSE

3i√3 = √(3 × (3i)²) = √-27 TRUE

3√(3i) = √(3i × 3²) = √27i FALSE

As we can see from above, only the third choice equals √-27.

Hope this helps!! :)

Please let me know if you have any questions

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Write the slope-intercept form of the equation of the line described. 8.) through: ( -4 , 5 ) , perpendicular to Y= 3/2x - 2

kozerog [31]

Answer

The equation of the required line in slope-intercept form is

y = (-2x/3) + (7/3)

Comparing this with y = mx + c,

Slope = m = (-2/3)

Intercept = c = (7/3)

Explanation

The slope and y-intercept form of the equation of a straight line is given as

y = mx + c

where

y = y-coordinate of a point on the line.

m = slope of the line.

x = x-coordinate of the point on the line whose y-coordinate is y.

c = y-intercept of the line.

So, to solve this, we have to solve for the slope and then write the eqution in the slope-point form which we can then simplify to the slope-intercept form

The general form of the equation in point-slope form is

y - y₁ = m (x - x₁)

where

y = y-coordinate of a point on the line.

y₁ = This refers to the y-coordinate of a given point on the line

m = slope of the line.

x = x-coordinate of the point on the line whose y-coordinate is y.

x₁ = x-coordinate of the given point on the line

The point is given as (x₁, y₁) = (-4, 5)

Then, we can calculate the slope from the information given

Two lines with slopes (m₁ and m₂) that are perpendicular to each other are related through

m₁ × m₂ = -1

From the line given,

y = (3/2)x - 2

We can tell that m₁ = (3/2), so, we can solve for m₂

(3/2) (m₂) = -1

m₂ = (2/3) (-1) = (-2/3)

We can then write the equation of the given line in slope-intercept form

y - y₁ = m (x - x₁)

y - 5 = (-2/3) (x - (-4))

y - 5 = (-2/3) (x + 4)

y - 5 = (-2x/3) - (8/3)

y = (-2x/3) - (8/3) + 5

y = (-2x/3) + (7/3)

Hope this Helps!!!

4 0

1 year ago

Question 18 please help

Ira Lisetskai [31]

Answer:

see below

Step-by-step explanation:

No simplification is possible as there aren't any factors that can be combined or cancelled. The exponents can be made positive by moving the variable to the other side of the fraction bar.

The applicable rule of exponents is ...

a^-b = 1/a^b

5 0

3 years ago

You and your friend are playing "Fire-Water-Sponge." In this game, each of the two players chooses fire, water, or sponge. Both

aleksklad [387]

187 is the answer make me Brainlyest

4 0

3 years ago

Rent-An-SUV charges an $80 fee to rent a truck and $12 per mile. Another rental company charges a $150 fee to rent a truck

almond37 [142]

The linear equation that can be used to calculate daily car rentals is f(x) = -20x + 320

Since we are not told what to find, we can look for the linear equation that can be used to calculate daily car rentals;

Let the charge amount be y

Let the amount per mile of the truck rent be x.

If rent-An-SUV charges an $80 fee to rent a truck and $12 per mile, this can be expressed in coordinate form as (12, 80)

Similarly, if another rental company charges a $150 fee to rent a truck and $8.50 per mile, this can also be written in a coordinate form as (8.50, 150)

The standard linear expression is given as f(x) = mx + b

m is the rate of change

b is the y- intercept

Get the rate of change;

$m=\frac{150-80}{8.5-12}\\m=\frac{70}{-3.5}\\m= -20\\$

Get the y-intercept;

80 = -20(12) + b

80 = -240 + b

b = 320

Get the required linear equation;

f(x) = mx + b

f(x) = -20x + 320

Hence the linear equation that can be used to calculate daily car rentals is f(x) = -20x + 320

Learn more on linear equation here: brainly.com/question/12788590

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3 years ago

I went to get dinner at a restaurant. The bill for the meal was $60. I want to

Allisa [31]

60 * 0.20 = $12
60 + 12 = $72
The total cost would be $72

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3 years ago