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3 years ago

Which of the following expressions is equal to -3x^2 - 27 ?

Mathematics

1 answer:

Alborosie3 years ago

3 0

Answer: D. -3x+9i)(x+3i) i hope this helped :)

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Write (8a-^3) -2/3 in simplest form

Anna71 [15]

$(8a^{-3})^{\frac{-2}{3}} = \frac{a^2}{4}$

Solution:

Given that,

$(8a^{-3})^{\frac{-2}{3}$

We have to write in simplest form

Use the following law of exponent

$(a^m)^n = a^{mn}$

Using this, simplify the given expression

$(8a^{-3})^{\frac{-2}{3}} = 8^{\frac{-2}{3}} \times a^{ -3 \times \frac{-2}{3}}\\\\Simplifying\ we\ get\\\\(8a^{-3})^{\frac{-2}{3}} = 8^{\frac{-2}{3}} \times a^2\\\\We\ know\ that\ 8 = 2^3\\\\Therefore\\\\(8a^{-3})^{\frac{-2}{3}} =2^3^{\frac{-2}{3}} \times a^2\\\\(8a^{-3})^{\frac{-2}{3}} =2^{-2} \times a^2\\\\(8a^{-3})^{\frac{-2}{3}} = \frac{a^2}{4}$

Thus the given expression is simplified

8 0

4 years ago

What is the equation in a point-slope form of the line that passes through the point (-8, 5) and has a slope of 12?

Anton [14]

Answer:

y-5=12(x+8)

Step-by-step explanation:

4 0

3 years ago

What is the probality of rolling a sum of 5 if two regular 6 -sides number cubes are rolled

Dmitry [639]

Each die has six numbers, the total number of possible combinations is 6 * 6 = 36

The combinations in which you can get a sum of 5 are: 1 &4, 2 & 3, 4 &1, 3 &2

There are 4 different combinations of getting a sum of 5.

The probability would be 4/36, which reduces to 1/9

8 0

4 years ago

The equation of a line is 5x − 3y = 6. Which is the y-intercept of the line?

oksian1 [2.3K]

Answer:

y - intercept. = 2.

Step-by-step explanation:

Given : The equation of a line is 5x − 3y = 6.

To find : Which is the y-intercept of the line.

Solution : We have given 5x − 3y = 6.

Equation of line y = mx +b

Where , m = slope , y intercept = b

Now we convert the 5x − 3y = 6 in line form y = mx +b

5x − 3y = 6

On subtracting both sides by 5x

-3x = - 5x + 6

On dividing both sides by - 3.

x = $\frac{5x}{3}+2$ .

We cans see m = $\frac{5}{3}$ , y - intercept. = 2.

Therefore, y - intercept. = 2.

7 0

3 years ago

Forty tickets are sold for a raffle with two prizes. You buy two tickets. What is the probability that you will win both prizes?

Trava [24]

Well, the first one is 2/40=1/20. The 2nd one is 1/39. You multiply these to get 1/780.

5 0

3 years ago