3 years ago

158.297 rounded each number to the nearest while number

Mathematics

1 answer:

Katarina [22]3 years ago

5 0

Answer: 158

Step-by-step explanation:

158.297

It rounds to 158

since 0.297 < 0.5

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Step-by-step explanation:

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3 years ago

The length of a rectangle is 2m-1 and the width is m+3. Simplify an expression for the perimeter of the rectangle.

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Answer:

6m+ 4

Step-by-step explanation:

2(2m-1) + 2(m+3)

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2 years ago

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Step-by-step explanation:

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3 years ago

Factories 54m3n + 81m4n2 b) 15x2y3z + 25x3y2z + 35x2y2z

Oliga [24]

Part a)

Given the expression

$54m^3n\:+\:81m^4n^2$

Apply exponent rule: $a^{b+c}=a^ba^c$

$54m^3n\:+\:81m^4n^2=54m^3n+81m^3mnn$ ∵ $m^4n^2=m^3mnn$

Rewrite 81 as 3 · 27

Rewrite 54 as 2 · 27

$=2\cdot \:27m^3n+3\cdot \:27m^3mnn$

Factor out the common term: 27m³n

$=27m^3n\left(2+3mn\right)$

Therefore,

$54m^3n\:+\:81m^4n^2=54m^3n+81m^3mnn=27m^3n\left(2+3mn\right)$

Part B)

Given the expression

$15x^2y^3z+25x^3y^2z+35x^2y^2z$

Apply exponent rule: $a^{b+c}=a^ba^c$

$15x^2y^3z+25x^3y^2z+35x^2y^2z=15x^2y^2yz+25x^2xy^2z+35x^2y^2z$

Rewrite as

$=3\cdot \:5y^2x^2zy+5\cdot \:5y^2x^2zx+7\cdot \:5y^2x^2z$

Factor out common term 5y²x²z

$=5y^2x^2z\left(3y+5x+7\right)$

Therefore,

$15x^2y^3z+25x^3y^2z+35x^2y^2z=5y^2x^2z\left(3y+5x+7\right)$

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3 years ago

In the coordinate plane, three vertices of rectangle abcd are a(0, 0, b(0, a, and d(b, 0. what are the coordinates of point c?

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So the point would be c)0,0

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3 years ago