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3 years ago

What is the sum of the number of faces, edges, and vertices for a rectangular prism?

Mathematics

1 answer:

Vera_Pavlovna [14]3 years ago

3 0

Answer: 28

Step-by-step explanation: 6 faces, 12 edges, 8 vertices

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The product of (a − b)(a − b) is a2 − b2.<br> A. Sometimes<br> B. Always<br> C. Never

Damm [24]

$(a-b)(a-b)=a^2-2ab+b^2\\\\a^2-2ab+b^2=a^2-b^2\\2b^2=2ab\\b^2=ab\implies a=b \vee b=0$

So, sometimes.

8 0

3 years ago

Quadrilateral ABCD has vertices A(1,0) B(5,0) C (7,2) D(3,2). Use slope to prove that ABCD is a parallelogram.

Galina-37 [17]

Answer:

$AD \parallel BC$

$AB \parallel CD$

Step-by-step explanation:

The vertices of quadrilateral ABCD are A(1,0) B(5,0) C (7,2) D(3,2).

The slope of side AB is

$M_{AB}=\frac{0-0}{5-1} =\frac{0}{4}=0$

The slope of side BC is

$M_{BC}=\frac{2-0}{7-5} =\frac{2}{2}=1$

The slope of side CD is

$M_{CD}=\frac{2-2}{3-7} =\frac{0}{-4}=0$

The slope of AD is

$M_{AD}=\frac{2-0}{3-1} =\frac{2}{2}=1$

$AD \parallel BC$

$AB \parallel CD$

We see that the opposite sides of the quadrilateral ABCD are equal.

Hence the quadrilateral is a parallelogram

4 0

3 years ago

69 points!!!!!!!!!!!! ANYONE who can answer this please

Sloan [31]

I would either graph these (which would be a easiest) then you would see a line that goes through (0, -2) on the y-axis
And you can either determine the slope from the graph or pick two points above and find the slope.

or spread them out evenly and fill out the missing pieces.

-8. -4

-4. -3

0

4. -1

6. -0.5

8

12. 1

Fill in the middle values and you can put (6,-0.5) on there

What pattern do u see? This way would be pretty hard.

Equation: y=(1/4)x-2

8 0

3 years ago

Read 2 more answers

NEED HELP ASAP!!

Vedmedyk [2.9K]

Answer:

c.) y=2x+3

Step-by-step explanation:

the slope is 2 and the y-intercept is 3

6 0

3 years ago

the ratio of length, breadth and height of a room is 4:3:1. If 12m^3 air is contained in a room, find the length , breadth and h

son4ous [18]

9514 1404 393

Answer:

length: 4 m
breadth: 3 m
height: 1 m

Step-by-step explanation:

The product of ratio units is 12 unit³, so each must stand for 1 m.

The dimensions of the room match the ratio units:

4 m length by 3 m breadth by 1 m height

6 0

3 years ago