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3 years ago

15

A right rectangular prism is packed with cubes of side length Fraction 1 over 3 inch. If the prism is packed with 6 cubes along

the length, 4 cubes along the width, and 8 cubes along the height, what is the volume of the prism?

1 answer:

choli [55]3 years ago

8 0

Answer:

Step-by-step explanation:

15

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Please help!!!!!!!!!!!!

vladimir2022 [97]

Use the distance formula:

x2 is 1 and x1 is -2
y2 is root7 and y1 is 0

Point (X1,Y1) is basically the coordinate of the centre point of the circle

Point (X2,Y2) is the point that on the circle

So if the point(1,root7) is on the circle, the final distance you get should be the radius of the circle, which is 4 units

Calculate it and you can get the answer that is 4

Therefore the point (1,root7) is on the circle

7 0

3 years ago

How do you classify the following polynomial?<br> -4x³ + 2x² - 5x+3x²

sammy [17]

Answer:

-4 x³+2x²-5x+3x²

combine like terms

-4x³ +5x²-5x

common factors

-1(4x³-5x²+5x)

find one factors

Ans: -x (4x²-5x+5)

5 0

2 years ago

Write an equation of a line perpendicular to y = x + 4 in slope-intercept form that passes through the point (-2, 6)

Scrat [10]

$k:y=m_1x+b_1;\ l:y=m_2x+b_2\\\\k\ \perp\ l\ if\ m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\---------------------\\k:y=x+4;\ l:y=m_2x+b_2\\\\m_1=1\to m_2=-\dfrac{1}{1}=-1\\\\k\ \perp\ l\to l:y=-x+b_2\\\\The\ line\ "l"\ passes\ throught\ the\ point\ (-2;\ 6).\\Subtitute\ x=-2\ and\ y=6\ to\ the\ equation\ of\ the\ line\ "l":\\\\6=-(-2)+b_2\\6=2+b_2\ \ \ |subtract\ 2\ from\ both\ sides\\b_2=4\\\\Answer:\boxed{y=-x+4}$

5 0

4 years ago

Determine if line KM and line ST are ॥, ⊥, or neither: K(-5,1) , M(-2,-8), and S(12,14), T(20,-10) Parallel Perpendicular or nei

Black_prince [1.1K]

Answer:

The lines are parallel i.e. KM || ST

Step-by-step explanation:

Given

K(-5,1) , M(-2,-8), and S(12,14), T(20,-10)

In order to find if the lines are parallel, perpendicular or neither slope will be used.

The slope of any line which passes from two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by the formula

$m = \frac{y_2-y_1}{x_2-x_1}$

If two lines are parallel their slope is equal. If two lines are perpendicular the product of their slope is equal to -1

So, first slopes of both lines will be calculated.

Let m1 be the slope of KM

and

m2 be the slope of ST

<u>In case of KM:</u>

$(x_1,y_1) = (-5,1)\\(x_2,y_2) = (-2,-8)$

Putting the values in the formula for slope

$m_1 = \frac{-8-1}{-2-(-5)}\\m_1 = \frac{-9}{-2+5}\\= \frac{-9}{3}\\= -3$

<u>In case of ST:</u>

<u></u> $(x_1,y_1) = (12,14)\\(x_2,y_2) = (20,-10)$ <u></u>

Putting the values in the formula for slope

$m_2 = \frac{-10-14}{20-12}\\= \frac{-24}{8}\\= -3$

As we can see that slope of both lines KM and ST are equal

i.e. m1 = m2 = -3

Hence,

The lines are parallel i.e. KM || ST

6 0

3 years ago

The distance between John's house and Albert’s house is 8 1/3 miles. A park is located on a straight path between the two houses

Murrr4er [49]

Answer:

The average mass of a group of children is 50 kilograms. Todd, who has a mass of 62 kilograms, then joins the group. This raises the average mass of the group to 52 kilograms. How many children were in the original group

Step-by-step explanation:

4 0

3 years ago