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Agata [3.3K]
3 years ago
7

Which is equivalent to the following expression? (3p^2+5pq-q^2)+(p^2+3pq-2q^2)

Mathematics
2 answers:
ioda3 years ago
8 0
The answer is 4p^2+8pq-3q^2
Neporo4naja [7]3 years ago
7 0

Answer:

the equivalent expression is: 4p^2+8pq-3q^2

Step-by-step explanation:

we are given the expression as: (3p^2+5pq-q^2)+(p^2+3pq-2q^2)

we will firstly combine the terms with same variable term and than apply the corresponding addition or subtraction on its coefficient to get the desired result.

==3p^2+p^2+5pq+3pq-q^2-2q^2\\=(3+1)p^2+(5+3)pq+(-1-2)q^2\\=4p^2+8pq-3q^2

Hence, the desired answer is: 4p^2+8pq-3q^2.


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each classroom in willett hall will hold 34 students.There are 4 floors with 6 classroom on each floor. How many students can be
ozzi

4 floors with 6 class rooms each = 6*4 = 24 total class rooms.

24 class rooms x 34 students in each one = 816 total students.

4 0
2 years ago
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irga5000 [103]

Answer:

  10 in

Step-by-step explanation:

There are two ways to work this problem, and they give different answers. The reason for that is that <em>the data shown in the diagram is not consistent</em>.

<u>Method 1</u>

Use the area to determine the base length. The area formula is ...

  A = (1/2)bh

  20 in^2 = (1/2)(b)(4 in)

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The missing side dimension is 10 inches.

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<u>Method 2</u>

Use the Pythagorean theorem to find the parts of the base, then add them up.

Left of the "?" we have ...

  left^2 +4^ = 6^

  left^2 = 36 -16 = 20

  left = √20 = 2√5

Right of the "?" we have ...

  right^2 +4^2 = 8^2

  right^2 = 64 -16 = 48

  right = √48 = 4√3

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If you have a cube measuring 1 unit on each side, how many of those cubes would fit into a space 2 units by 3 units by 4 units
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Given:

Measure of a cube = 1 unit on each side.

Dimensions of a space 2 units by 3 units by 4 units.

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Number of cubes that can be fit into the given space.

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V_1=1

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The volume of the cuboid is:

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Putting l=2,b=3,h=4, we get

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We need to divide the volume of the space by the volume of the cube to find the number of cubes that can be fit into the given space.

n=\dfrac{V_2}{V_1}

n=\dfrac{24}{1}

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