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OleMash [197]
3 years ago
14

The polynomial X3+ 8 is equal to

Mathematics
1 answer:
shtirl [24]3 years ago
4 0

Answer:

(x + 2)(x² - 2x + 4)

Step-by-step explanation:

x³ + 8 ← is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b²), thus

x³ + 8

= x³ + 2³

= (x + 2)(x² - 2x + 4)

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Write an equation of the line containing the point (3,1) and perpendicular to the line 5x-3y=5
dusya [7]
Th answer is: y=-1/5x+8/5
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3 years ago
What is the area of a sector with a central angle of 8 π/11 radians and a radius of 7.2 ft? use 3.14 for π and round your final
coldgirl [10]

Answer:

59.19 ft^2

Step-by-step explanation:

step 1

Find the area of the circle

The area of the circle is equal to

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we have

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\pi =3.14

substitute

A=(3.14)(7.2)^{2}

A=162.78\ ft^2

step 2

we know that

The area of a circle subtends a central angle of 2π radians

so

using proportion

Find out the area of a sector with a central angle of 8 π/11 radians

\frac{162.78}{2\pi }\frac{ft^2}{rad} =\frac{x}{(8\pi/11)}\frac{ft^2}{rad} \\\\x=162.78(8/11)/2\\\\x=59.19\ ft^2

7 0
3 years ago
What is the solution of 5y + 2 = 42?
Vlad1618 [11]
The answer is y = 8 from the photo

4 0
3 years ago
Read 2 more answers
Solve the right triangle
yan [13]

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5 0
2 years ago
What is the hypotenuse of a triangle with 4 ft and 5 ft
sergeinik [125]

Answer:

\Large\text{The hypotenuse is}\ \sqrt{41}\ ft\approx6.4\ ft

Step-by-step explanation:

\text{Use the Pythagorean theorem:}

a^2+b^2=c^2

\text{a, b - legs}\\\text{c - hypotenuse}

\text{We have the legs 4ft and 5ft. Substitute:}

c^2=4^2+5^2\\\\c^2=16+25\\\\c^2=41\to c=\sqrt{41}

8 0
3 years ago
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