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3 years ago

Please help me! It’s on my test!!

Mathematics

1 answer:

Akimi4 [234]3 years ago

8 0

Answer:

THE LAST ONE :)

Step-by-step explanation:

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What is the volume of a cylinder with a diameter equal to 6 and height equal to 8? Let pi = 3.14.

Sindrei [870]

Volume of a cylinder is pi*(radius)^2* height. pi is 3.14 and radius is half of diameter which would be 3. height is 8. Thus volume of a cylinder in your case is pi*9*8 or 72*pi which is approximately 226.19

8 0

3 years ago

Solve 3x2 = −12x − 15. x = −4 ± 2i x = −4 ± i x = −2 ± 2i x = −2 ± i

diamong [38]

ANSWER

$x = - 2 \pm i$

EXPLANATION

We use the method of completing the squares.

The equation is
$3 {x}^{2} = - 12x - 15$

We rewrite the above equation to obtain;

$3 {x}^{2} + 12x = - 15$

We divide through by 3 to obtain;

${x}^{2} + 4x = - 5$

We add half the coefficient of
$x$

to both sides of the equation to get,

${x}^{2} + 4x + {2}^{2} = - 5 + {2}^{2}$

The right hand side is now a perfect square.

${(x + 2)}^{2} = - 1$

We now take square root of both sides to get;

$x + 2 = \pm \sqrt{ - 1}$

We add -2 to both sides,

$x = - 2 \pm \sqrt{ - 1}$

We simplify to obtain,

$x = - 2 \pm i$

3 0

3 years ago

Will mark brainliest, I'm having some trouble (question in attachment)

Liono4ka [1.6K]

Answer: 45b^4/32

Step-by-step explanation: First multiply the two fractions

15b^3y(3b)/8y x 4

Multiply 3 by 15

45b^3yb/8y x 4

Raise b to power of 1

45(b^1b^3)y/8y x 4

Use power rule to combine exponents

45b^1+3 y/8y x 4

Simplify

45b^4y/32y

Cancel common factor of y

45b^4/32

4 0

3 years ago

Use the rule for y= -6x +8 to find the output if the input is x=20

lisov135 [29]

Answer:

The output of the function y = -6x + 8 when the input is x = 20 is -112.

Step-by-step explanation:

y = -6x + 8

Input the value x = 20.

y = -6(20) + 8

Multiply -6 and 20.

y = -120 + 8

Add -120 and 8.

y = -112.

8 0

3 years ago

What is 8/12 in simplest form

Pani-rosa [81]

8/12 in simplest form is 2/3.

5 0

3 years ago