9. Which of these is equal to {2 - 31}{21 +4}?

Mathematics

1 answer:

densk [106]3 years ago

5 0

Answer:

-725

Step-by-step explanation:

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If A rectangular prism with a volume of 2 cubic units is filled with cubes with side lengths of 1/4. How many 1/4 unit cubes doe

PSYCHO15rus [73]

Answer:

It'll take 128 cubes to fill the prism.

Step-by-step explanation:

In order to solve this question we first need to find the volume of the cubes. The volume of a cube is given by the following formula:

volume = length³

So the cubes have the following volume:

volume = (1/4)³ = 1/64

Since we want to know how many of these cubes are needed to fill the prism, we need to divide prism's volume by the volume of the smaller cubes. We have:

number of cubes = (volume of prism)/(volume of cubes)

number of cubes = 2/(1/64)

number of cubes = 2*(64/1)

number of cubes = 128

It'll take 128 cubes to fill the prism.

5 0

3 years ago

What is an equation of the line that passes through the points (6, 0) and (-1, -7)?

Orlov [11]

Answer:

y = x - 6

Step-by-step explanation:

We want to write a line in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

First, we need to find the slope, which is just the change in the y-coordinates divided by the change in the x-coordinates:

slope = m = $\frac{6-(-1)}{0-(-7)} =\frac{7}{7}=1$

Our equation now looks like this: y = x + b

Now, to find the y-intercept, let's use one of the points provided and plug those values of x and y into the incomplete equation we have to solve for b:

0 = 6 + b ⇒ b = -6

So, the equation is: y = x - 6.

Hope this helps!

6 0

3 years ago

Write <img src="https://tex.z-dn.net/?f=3x%5E%7B2%7D%20-x-3%2Bx%5E%7B3%7D" id="TexFormula1" title="3x^{2} -x-3+x^{3}" alt="3x^{2

Elza [17]

Answer:

Standard form: $x^3+3x^2-x-3$