All categories

3 years ago

Someone please help me with this question I need it ASAP

Mathematics

1 answer:

ZanzabumX [31]3 years ago

6 0

Your question has been heard loud and clear.

First one (x+2i)(x-2i) = x^2+4

Second one (x-2+2i)(x-2-2i) = x^2-4x+8

Third one (x+1+i)(x+1-i) = x^2+2x+2

Thank you

Edit: Sorry for taking 15 minutes I was calculating lol

You might be interested in

The length of a rectangle is 4 feet more than the width. If the perimeter is 20 ft. What is the length of the rectangle?

Cloud [144]

Perimeter: P = 2L + 2W. In this problem L = W + 4 or W = L - 4. We want L, so let's eliminate W:

P = 2L + 2(L - 4) = 20 (all measurements in feet)

Simplifying,

2L + 2L - 8 = 20, or 4L = 28 ft. Thus, L = 7 ft.

The rectangle is 7 ft long.

3 0

3 years ago

How can the Pythagorean theorem be used to find the exact values of certain "special angles"?

Reptile [31]

In a 45-45-90 triangle, the two legs are congruent. Let's call them x. The hypotenuse is equal to 1 as we're using the unit circle. The hypotenuse of the triangle is the same as the radius of the unit circle.

a = x

b = x

c = 1

Use those values in the Pythagorean theorem to solve for x.

a^2 + b^2 = c^2

x^2 + x^2 = 1^2

2x^2 = 1

x^2 = 1/2

x = sqrt( 1/2 )

x = sqrt(1)/sqrt(2)

x = 1/sqrt(2)

x = sqrt(2)/2 ... rationalizing the denominator

So this right triangle has legs that are sqrt(2)/2 units long. Once we know the legs of the triangle, we can divide them over the hypotenuse to find the sine and cosine values.

sin(angle) = opposite/hypotenuse

sin(45) = (sqrt(2)/2) / 1

sin(45) = sqrt(2)/2

and

cos(angle) = adjacent/hypotenuse

cos(45) = (sqrt(2)/2) / 1

cos(45) = sqrt(2)/2

------------------------------------------------------

For a 30-60-90 triangle, we would have

a = 1

b = x

c = 2

so,

a^2+b^2 = c^2

1^2+x^2 = 2^2

1+x^2 = 4

x^2 = 4-1

x^2 = 3

x = sqrt(3)

The missing leg is sqrt(3) units long.

Once we know the three sides of the 30-60-90 triangle, you should be able to see that

sin(30) = 1/2

sin(60) = sqrt(3)/2

cos(30) = sqrt(3)/2

cos(60) = 1/2

3 0

3 years ago

Read 2 more answers

1) 9 + 2h - 16<br> -7 + 2h

Jet001 [13]

9+2h-16-7+2h = -2(7-2h)

8 0

3 years ago

Read 2 more answers

Sally had 1000 photos to put into a photo album.She set 10 photos aside to place in frames.If her photo album fits 3 photos per

Kruka [31]

Answer:

Sally needed 330 pages of album to place her photos in it.

Step-by-step explanation:

Given:

Total number of photos = 1000

Number of photos kept aside to be place in frame = 10

Number of photos in per page of album = 3

We need to find the number of pages needed to place the photos in album.

Solution:

First we will find the number of photos to be place in album.

Now we know that she kept aside some photos which has to be frame framed.

So number of photos to be place in album can be calculated by Subtracting Number of photos kept aside to be place in frame from Total number of photos

framing in equation form we get;

number of photos to be place in album = 1000 - 10 = 990 photos

Now we will find number of pages needed to place the photos in the album.

number of pages needed to place the photos in the album can be calculated by dividing number of photos to be place in album with number of photos in per page of album.

framing in equation form we get;

number of pages needed to place the photos in the album = $\frac{990}{3}= 330\ pages.$

Hence Sally needed 330 pages of album to place her photos in it.

6 0

3 years ago

A medication states that the odds of having an allergic reaction are 1 in 50. What is that probability states as a percent?

Fittoniya [83]

<h2>Answer:</h2>

<u><em>As a percent, the odds of having an allergic reaction would be 2%.</em></u>

This is because 1 in 50 of a chance, is equal to 1/50, and to make this a percent out of 100, just multiply both parts of the fraction by 2.

None of the choices equal 1/50, so let's just make it a percentage anyway.

1/50 ---> 0.02

0.02 ---> 2%

<em>The answer is 2%, or 1/50 as a fraction.</em>

3 0

4 years ago