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vovangra [49]
2 years ago
9

How many cubes are needed to fill the prism made by the net?

Mathematics
1 answer:
Phantasy [73]2 years ago
3 0

<u>16 cubes</u> are needed to fill in the prism mad by the net.

<em>Sure hope this helps you</em>

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4 years ago
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How many solutions does the equation 2x − 2x − 7 = −7 have?
Mekhanik [1.2K]
Hey there!

This equation has infinite solutions.

To solve for this equation, first add -7 to both sides in order to get rid of the constant:
2x-2x-7=-7
2x-2x=0

Now, combine your like terms or add 2x and -2x together:
2x-2x=0
0=0

Because you result in a true mathematical statement (0 is equal to itself), you have an infinite amount of solutions or all real solutions.

To check if this is true, plug in any number in place of x in the original staeltement to see if you result in a true statement:
Let's say x is 5
2(5)-2(5)-7=-7
10-10-7=-7
-7=-7

This proves that you have infinite solutions for your equation. :)
6 0
4 years ago
Find the sum
lakkis [162]

Answer:

Numerator = 2(b^2+a^2)    or equivalently 2b^2+2a^2

Denominator = (b+a)^2*(b-a), or equivalently b^3+ab^2-a^2b0-a^3

Step-by-step explanation:

Let

S = 2b/(b+a)^2 + 2a/(b^2-a^2)   factor denominator

= 2b/(b+a)^2 + 2a/((b+a)(b-a))     factor denominators

= 1/(b+a) ( 2b/(b+a) + 2a/(b-a))    find common denominator

= 1/(b+a) ((2b*(b-a) + 2a*(b+a))/((b+a)(b-a))   expand

= 1/(b+a)(2b^2-2ab+2ab+2a^2)/((b+a)(b-a))  simplify & factor

= 2/(b+a)(b^2+a^2)/((b+a)(b-a))  simplify & rearrange

= 2(b^2+a^2)/((b+a)^2(b-a))

Numerator = 2(b^2+a^2)    or equivalently 2b^2+2a^2

Denominator = (b+a)^2*(b-a), or equivalently b^3+ab^2-a^2b0-a^3

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3 years ago
How can you tell the difference between a ray and a line segment? Draw and label an example of each below
yulyashka [42]

Answer:

a ray has a point on one end and an arrow on the other

a line segment has a point on both ends

Step-by-step explanation:

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