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gregori [183]
4 years ago
7

Difference in the following polynomials (6x^3 - 2x^2 + 4) -(2x^3 + 4x^2 - 5)

Mathematics
1 answer:
Colt1911 [192]4 years ago
6 0

\bold{[ \ Answer \ ]}

\boxed{\bold{4x^3-6x^2+9}}

\bold{[ \ Explanation \ ]}

  • \bold{Find \ Difference: \ \left(6x^3\:-\:2x^2\:+\:4\right)-\left(2x^3\:+\:4x^2\:-\:5\right)}

\bold{-----------------------}

  • \bold{Remove \ Parenthesis}

\bold{6x^3-2x^2+4-\left(2x^3+4x^2-5\right)}

  • \bold{Remove \ Parenthesis \ / \ Simplify}

\bold{-\left(2x^3+4x^2-5\right): \ -2x^3-4x^2+5}

  • \bold{Rewrite}

\bold{6x^3-2x^2+4-2x^3-4x^2+5}

  • \bold{[Simplify \ 6x^3-2x^2+4-2x^3-4x^2+5] \ 4x^3-6x^2+9}

\bold{4x^3-6x^2+9}

\boxed{\bold{[] \ Eclipsed \ []}}

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A cylinder has a height of 16 cm and a radius of 5 cm. A cone has a height of 12 cm and a radius of 4 cm. If the cone is placed
Ede4ka [16]
Vcylinder-vcone=vair

vcylinder=hpir^2
vcone=(1/3)hpir^2




vcylinder=16*pi*5^2=400pi
vcone=(1/3)12*pi*4^2=64pi

vylinder-cone=400pi-64pi=336pi

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5 0
3 years ago
3.14 times 16 divided by 3
AleksAgata [21]

Answer:

The answer is 16.746667

Step-by-step explanation:

1) Simplify 3.14 × 16 to 50.24.

50.24 \div 3

2) Simplify 50.24 ÷ 3 to 16.746667.

16.746667

<u>Therefor</u><u>. </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>16.746667.</u>

5 0
3 years ago
30 points and BRAINLIEST!
Ghella [55]

Answer:

(x − 4)² + (y − 3)² = 25

Step-by-step explanation:

The equation of a circle is:

(x − h)² + (y − k)² = r²

Given three points on the circle, we can write three equations:

(1 − h)² + (7 − k)² = r²

(8 − h)² + (6 − k)² = r²

(7 − h)² + (-1 − k)² = r²

Expanding:

1 − 2h + h² + 49 − 14k + k² = r²

64 − 16h + h² + 36 − 12k + k² = r²

49 − 14h + h² + 1 + 2k + k² = r²

Simplifying:

50 − 2h + h² − 14k + k² = r²

100 − 16h + h² − 12k + k² = r²

50 − 14h + h² + 2k + k² = r²

Subtracting the first equation from the second and third equations:

50 − 14h + 2k = 0

-12h + 16k = 0

Solving the system of equations, first reduce:

25 − 7h + k = 0

-3h + 4k = 0

Solve with substitution or elimination.  Using substitution, solve for k in the first equation and substitute into the second.

k = 7h − 25

-3h + 4(7h − 25) = 0

-3h + 28h − 100 = 0

25h = 100

h = 4

k = 7h −25

k = 7(4) − 25

k = 3

Now plug these into any of the original three equations to find r.

(1 − h)² + (7 − k)² = r²

(1 − 4)² + (7 − 3)² = r²

9 + 16 = r²

25 = r²

The equation of the circle is:

(x − 4)² + (y − 3)² = 25

Graph: desmos.com/calculator/ctoljeqhnp

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Answer:

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Andrew lives at an altitude of 135 feet, and his friend Lisa lives at an altitude of -10 feet.
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Andrew's residence is higher

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