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grandymaker [24]
3 years ago
11

If all the edge lengths of a rectangular prism are multiplied by a scale factor of 2, how does the volume change?

Mathematics
1 answer:
Leni [432]3 years ago
5 0

Answer:

The new volume is 4 times the old volume ♡

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What is the product of 2X plus 3 and 4X squared minus 5X plus 6
Tju [1.3M]
The product of something means multiplying the terms together.

(2x+3) (4x^2-5x+6)

Secondly you need to distribute the terms to each other (Think of problems like FOIL)

2x * 4x^2 + 2x(-5x) + 2x * 6 + 3 * 4x^2 + 3(-5x) + 3 * 6

Then you must take into account that some of the numbers are negative. (minus-plus rules!)

2x * 4x^2 - 2x * 5x + 2x * 6 + 3 * 4x^2 - 3 * 5x + 3 * 6

Now is the tricky part of simplifying everything. 

2x * 4x^2 = 8x^3 

2x * 5x = 10x^2

2x * 6 = 12x

3 * 4x^2 = 12x^2

3 * 5x = 15x

3 * 6 = 18

8x^3 - 10x^2 + 12x + 12x^2 - 15x + 18

Then you group like terms.

8x^3 - 10x^2 + 12x^2 - 3x + 18

8x^2 + 2x^2 - 3x + 18

The trickiest part of this is distributing all of the terms within the parentheses, once you've done that, it's smooth sailing!


5 0
3 years ago
Which is the best buy?
sergey [27]

The correct answer is C

4 0
4 years ago
Hana paid $1,200 for the carpet in her living room the carpet has area of 251.2 square feet what was her unit cost of carpeting
SOVA2 [1]
The answer is $4.78 

1200/251.2=4.777<span>07006369
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4 0
3 years ago
The figure below is not drawn to scale. ABCD is a parallelogram, Find
Butoxors [25]

\angle BAD=100^{\circ} (opposite angles in a parallelogram)

\angle EAD=80^{\circ} (subtraction)

\angle ADE=65^{\circ} (angles in a triangle add to 180 degrees)

\angle CDA=80^{\circ} (adjacent angles in a parallelogram are supplementary)

\boxed{\angle CDE=15^{\circ}} (subtraction)

\angle CED=65^{\circ} (angles in a triangle add to 180 degrees)

\boxed{\angle AEB=80^{\circ}} (angles on a straight line add to 180 degrees)

4 0
2 years ago
How many times does the diameter go around a circle?
marissa [1.9K]

Answer:

The circumference of a circle is approximately three times its diameter. If you divide the circumference by its diameter, the constant ratio is called Pi, which is an irrational number shown with this symbol: For example, the circle below has a radius of 4.5 inches.

Step-by-step explanation:

Hope this helps!

Brain-List?

4 0
3 years ago
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