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mestny [16]
3 years ago
14

Subtract the polynomials (7.8x - 3.4y + z) and (-9.2x + 4.8y - 2.1z), then place the answer in the proper location on the grid.

Write answer in x-y-z order and include the tenths place.
Mathematics
2 answers:
Naya [18.7K]3 years ago
6 0
Subtracting the polynomials will give us:
(7.8x-3.4y+z)-(-9.2x+4.8y-2.1z)
=(7.8x+9.2x)+(-3.4y-4.8y)+(z+2.1z)
=17x-8.2y+3.1z

Answer: 17x-8.2y+3.1z
wolverine [178]3 years ago
3 0

Answer:

17.0x-8.2y+3.1z

Step-by-step explanation:

We are given that two polynomials

(7.8x-3.4y+z) and (-9.2x+4.8y-2.1z)[/tex]

We have to subtract the polynomials.

(7.8x-3.4y+z)-(-9.2x+4.8xy-2.1z)

Open the bracket

7.8x-3.4y+z+9.2x-4.8y+2.1z

Rearrange the terms

(7.8x+9.2x)-(3.4y+4.8y)+(z+2.1z)

Combine like terms

17.0x-8.2y+3.1z

Hence, the answer is given  by

17.0x-8.2y+3.1z

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A glass paperweight has a composite shape: a square pyramid fitting exacty on top of an 8 centimeter cube. The pyramid has a hei
ArbitrLikvidat [17]

Answer:

Part 1) The volume of the paperweight is 576\ cm^{3}

Part 2) The total surface area of the paperweight is 400\ cm^{2}

Step-by-step explanation:

Part 1) what is the volume of the paperweight?

we know that

The volume of the paperweight is equal to the volume of the square pyramid plus the volume of the cube

step 1

Find the volume of the pyramid

The volume of the pyramid is equal to

V=\frac{1}{3}BH

where

B is the area of the square base

H is the height of the pyramid

B=8^{2}=64\ cm^{2}

H=3\ cm

substitute

V=\frac{1}{3}(64)(3)=64\ cm^{3}

step 2

Find the volume of the cube

The volume of the cube is equal to

V=b^{3}

V=8^{3}=512\ cm^{3}

step 3

Find the volume of the paperweight

64\ cm^{3}+512\ cm^{3}=576\ cm^{3}

Part 2) what is the total surface area of the paperweight?​

we know that

The total surface area of the paperweight is equal to the surface area of 5 faces of the cube plus the lateral area of the pyramid

step 1

Find the surface area of 5 faces of the cube

SA=5b^{2}

SA=5(8^{2})=320\ cm^{2}

step 2

Find the lateral area of the pyramid

LA=4[\frac{1}{2}bh]

LA=4[\frac{1}{2}(8)(5)]=80\ cm^{2}

step 3

Find the total surface area of the paperweight

320\ cm^{2}+80\ cm^{2}=400\ cm^{2}

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450 is 75% of what number
Sergeu [11.5K]
•<span>75% = 0.75
•</span><span>450 ÷ 0.75 = 600
•</span><span>450 is 75% 0f 600
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5x-(x+1)=5-2x i dont understand what to do. Plz help
Vlada [557]

Answer:

x=1

Step-by-step explanation:

5x-(x+1)=5-2x

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