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3 years ago

Factor.

Mathematics

1 answer:

Brut [27]3 years ago

3 0

Answer:

$(x+7i)(x-7i)$

Step-by-step explanation:

Since there is no middle term in the equation, one root must use addition (like a + b) while the other uses subtraction (like a – b) so they cancel one another and the middle term disappears. That would make the third term of the equation negative. However, in this instance, the third term is positive. Therefore, roots with imaginary units must be involved. Thus, $(x+7i)(x-7i)$ is the only solution. This is also true because the complex arithmetic rule results in the following:

$(a+bi)(a-bi)=a^2+b^2\\\rightarrow(x+7i)(x-7i)=x^2+7^2\\=x^2+49$

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Choose ALL the adjacent angles

natka813 [3]

Answer:

d, e, g, and h.

Step-by-step explanation:

Adjacent angles sit next to each other, and don't overlap.

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One winter day, the outside temperature, y, was never below −1°. The inside of a car was always warmer than the temperature outs

sammy [17]

Answer:

The correct option is;

On a coordinate plane, 2 straight lines are shown. The first solid line is horizontal to the y-axis at y = negative 1, Everything above the line is shaded. The second dashed line has a positive slope and goes through (0, negative 4) and (2, negative 2). Everything above and to the left of the line is shaded

Step-by-step explanation:

The inequality representing the first line is y ≥ -1

The inequality representing the second line is y > x + 4

Therefore, the first line is a solid horizontal line with the shaded region above the line

The second line is a line with a broken line with positive slope slope with the shaded region being above the line and to the left

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3 years ago

Read 2 more answers

Wha is the value of x(3) + y(3) when<br> 3 and y = 4?

nordsb [41]

Answer:

Step-by-step explanation:

3 x 3 = 9

4 x 4 = 16

9 + 16 = 25

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3 years ago

Ruby wanted to get an iPod for 350$ she already had 52$ saved and if she worked for 8 hours a week for 9$ an hour how many weeks

WARRIOR [948]

Answer:

I believe that the answer is 4.13 weeks

Step-by-step explanation:

Since she already has $52 you can automatically start by doing:

$350 - $52 = $298

Since she works 8 hours a week and earns $9 per hour:

8 hours x $9 = $72

Then, take $298 ÷ $72 = 4.13 or about 4 weeks

I divide 298 by 72 because $72 is how much she will earn per week, and by dividing this number by the total amount that she has left to pay narrows it down to about how long she has to save for.

Hope this helps!!

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3 years ago

A rectangular box has a square base. The combined length of a side of the square base, and the height is 20 in. Let x be the len

aniked [119]

Answer:

a. V = (20-x) $x^{2}$ $in^{3}$

b . 1185.185 $in^{3}$

Step-by-step explanation:

Given that:

The height: 20 - x (in )
Let x be the length of a side of the base of the box (x>0)

a. Write a polynomial function in factored form modeling the volume V of the box.

As we know that, this is a rectangular box has a square base so the Volume of it is:

V = h * $x^{2}$ $in^{3}$

<=> V = (20-x) $x^{2}$ $in^{3}$

b. What is the maximum possible volume of the box?

To maximum the volume of it, we need to use first derivative of the volume.

<=> dV / Dx = -3 $x^{2}$ + 40x

Let dV / Dx = 0, we have:

-3 $x^{2}$ + 40x = 0

<=> x = 40/3

=>the height h = 20/3

So the maximum possible volume of the box is:

V = 20/3 * 40/3 *40/3

= 1185.185 $in^{3}$

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2 years ago