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Gemiola [76]
3 years ago
6

Simplify -r+8(-5r-2)

Mathematics
1 answer:
Lapatulllka [165]3 years ago
6 0

<u>Answer:</u>

<em>  -41r - 16</em>

<u>Step-by-step explanation:</u>

<em>Step  1  :</em>

<em>Step  2  :</em>

<em>Pulling out like terms :</em>

<em> 2.1     Pull out like factors :</em>

<em>   -5r - 2  =   -1 • (5r + 2) </em>

<em>Equation at the end of step  2  :</em>

<em>  -r +  -8 • (5r + 2)</em>

<em>Step  3  :</em>

<em>Step  4  :</em>

<em>Pulling out like terms :</em>

<em> 4.1     Pull out like factors :</em>

<em>   -41r - 16  =   -1 • (41r + 16) </em>

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Which two values of X are roots of the polynomial below 4x^2-6x+1
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4x^2-6x+1=0\\\\a=4,\ b=-6,\ c=1\\\\\Delta=b^2-4ac\\\\\Delta=(-6)^2-4(4)(1)=36-16=20\\\\\sqrt\Delta=\sqrt{20}=\sqrt{4\cdot5}=\sqrt4\cdot\sqrt5=2\sqrt5\\\\x_1=\dfrac{-b-\sqrt\Delta}{2a},\ x_2=\dfrac{-b+\sqrt\Delta}{2a}\\\\x_1=\dfrac{-(-6)-2\sqrt5}{2\cdot4}=\dfrac{3-\sqrt5}{4}\\\\x_2=\dfrac{-(-6)+2\sqrt5}{2\cdot4}=\dfrac{3+\sqrt5}{4}

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3 years ago
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2 years ago
(1/2-6)-(1/6x-8) plz i need help for this test
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A tank in the shape of a hemisphere has a radius of 7 feet. if the liquid that fills the tank has a density of 93 pounds per cub
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The total weight of the liquid that filled the hemispheric tank to the nearest full pounds is 66775 pounds.

<h3>What is the volume of an hemisphere?</h3>

An hemisphere is half of a sphere. Therefore,

volume = 2 / 3 πr³

where,

  • r = radius

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r = 7 feet

volume = 2 / 3 × 3.14 × 7³

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Therefore,

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