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3 years ago

Please help!

Mathematics

2 answers:

Snezhnost [94]3 years ago

4 0

-9i(-9i+4)+3(8+8i)

Use the distributive property to remove the parenthesis:

-9i * -9i = 81i^2

-9i x 4 = -36i

3x8 = 24

3x8i = 24i

Now you have 81i^2 - 36i + 24 + 24i

i^2 = -1

Now you have 81 x -1 - 36i + 24 + 24i

-81 +24 = -57

-36i +24i = -12i

Final answer = -57 - 12i

The answer is D.

Igoryamba3 years ago

3 0

Answer:

Step-by-step explanation:

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3 years ago

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Step-by-step explanation:

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2 years ago

The volume of a boys' basketball is 434 cubic inches. Dan would like to get a ball

Nataly_w [17]

Answer:

The correct answer is A. 9.4 inches.

Step-by-step explanation:

Given that the volume of a boys' basketball is 434 cubic inches, and Dan would like to get a ball with half the volume for his son, to determine what is the diameter of the ball that Dan will buy for his son, the following calculation has to be done, knowing that the volume of a sphere is four thirds multiplied by pi multiplied by the radius cubed:

4/3 x 3.14 x X ^ 3 = 434

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3 years ago

A circle has the equation 2x²+12x+2y²−16y−150=0.

KonstantinChe [14]

Answer: B. The coordinates of the center are (-3,4), and the length of the radius is 10 units.

Step-by-step explanation:

The equation of a circle in the center-radius form is:

$(x-h)^{2} +(y-k)^{2}=r^{2}$ (1)

Where $(h,k)$ are the coordinates of the center and $r$ is the radius.

Now, we are given the equation of this circle as follows:

$2x^{2}+12x+2y^{2}-16y-150=0$ (2)

And we have to write it in the format of equation (1). So, let's begin by applying common factor 2 in the left side of the equation:

$2(x^{2}+6x+y^{2}-8y-75)=0$ (3)

Rearranging the equation:

$x^{2}+6x+y^{2}-8y=75$ (4)

$(x^{2}+6x)+(y^{2}-8y)=75$ (5)

Now we have to complete the square in both parenthesis, in order to have a perfect square trinomial in the form of $(a\pm b)^{2}=a^{2}\pm+2ab+b^{2}$ :