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Mashcka [7]
3 years ago
15

PLEASE HELP QUICK :) multiple choice.

Mathematics
1 answer:
Damm [24]3 years ago
3 0

Answer:

  • C. f(x) = x³ + 10x² + 7x - 18

Step-by-step explanation:

If the function has a factor of x + 9, then the function will have a zero output at x = -9

<u>Lets verify:</u>

  • A. f(-9) = (-9)³ - 8*(-9)² - 11*(-9) + 18 = -1260, No
  • B. f(-9) = (-9)³ + 10*(-9)² + 7*(-9) - 27 =  -9, No
  • C. f(-9) = (-9)³ + 10*(-9)² + 7*(-9) - 18 = 0, Yes
  • D. f(-9) = (-9)³ - 8*(-9)² + 11*(-9) + 27 = -1449, No
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Anybody know the answer?
Tcecarenko [31]

Method 1.

Use the formula of a distance between two points:

A(x_A;\ y_A),\ B(x_B;\ y_B)\\\\d=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}

We have

A(-4,\ 5)\to x_A=-4,\ y_A=5\\B(2,\ -3)\to x_B=2,\ y_B=-3

substitute

|AB|=\sqrt{(-3-5)^2+(2-(-4))^2}=\sqrt{(-8)^2+6^2}=\sqrt{64+36}=\sqrt{100}=10

Answer: 10

Method 2

Look at the picture.

Use the Pythagorean theorem:

x^2=6^2+8^2\\\\x^2=36+64\\\\x^2=100\to x=\sqrt{100}\\\\x=10

Answer: 10

6 0
3 years ago
The top of a tower is a cone with a radius of 12 feet. The volume of the cone is 1,506.96 cubic feet. Which of these is the heig
shepuryov [24]

<span>the question does not have the options, but this does not limit its resolution
</span>
we know that
volume of the cone=(1/3)*pi*r²*h
where 
r is the radius of the cone
h is the height of the cone
r=12 ft
Volume=1506.96 ft³
h=?

clear the variable h
v=(1/3)*pi*r²*h-----> multiply by 3
3*v=pi*r²*h----> divided by (pi*r²)
h=3*v/(pi*r²)------> h=3*1506.96/(pi*12²)----> h=9.99 ft---> h=10 ft

the answer is
h=10 ft
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Answer:165

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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y=3x-2 seems to be the most possible one

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