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hjlf
3 years ago
5

Find the difference. Write your answer in simplest form as a fraction or mixed number.

Mathematics
1 answer:
Harrizon [31]3 years ago
4 0

Answer:

-2

Step-by-step explanation:

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CAN YOU ADD 2 TO PI TO GET A RATIONAL NUMBER
butalik [34]
No because Pi is an irrational number so adding 2 to Pi will also be irrational.

6 0
3 years ago
Solve Ax + By = -C for x.<br> Ox=-By-C<br> А<br> x=-By+C<br> Ox=By=0
dimulka [17.4K]

Answer:

\textbf{Option 1}\\

Step-by-step explanation:

\textup{Given $ Ax + By = -C$}\\\textup{Subtracting $By$ on both sides, we get,}\\$ Ax = -C -By $\\

\textup{Dividing by $A$ on both sides, (Assuming $A$ is not equal to zero) we get }\\$$ x = \frac{-By -C}{A}$$

3 0
3 years ago
Express the quotient of z1 and z2 in standard form given that <img src="https://tex.z-dn.net/?f=z_%7B1%7D%20%3D%20-3%5Bcos%28%5C
Lesechka [4]

Answer:

Solution : -\frac{3}{4}-\frac{3}{4}i

Step-by-step explanation:

-3\left[\cos \left(\frac{-\pi }{4}\right)+i\sin \left(\frac{-\pi \:}{4}\right)\right]\:\div \:2\sqrt{2}\left[\cos \left(\frac{-\pi \:\:}{2}\right)+i\sin \left(\frac{-\pi \:\:\:}{2}\right)\right]

Let's apply trivial identities here. We know that cos(-π / 4) = √2 / 2, sin(-π / 4) = - √2 / 2, cos(-π / 2) = 0, sin(-π / 2) = - 1. Let's substitute those values,

\frac{-3\left(\frac{\sqrt{2}}{2}-\frac{\sqrt{2}}{2}i\right)}{2\sqrt{2}\left(0-1\right)i}

=-3\left(\frac{\sqrt{2}}{2}-\frac{\sqrt{2}}{2}i\right) ÷ 2\sqrt{2}\left(0-1\right)i

= 3\left(-\frac{\sqrt{2}i}{2}+\frac{\sqrt{2}}{2}\right) ÷ -2\sqrt{2}i

= \frac{3\left(1-i\right)}{\sqrt{2}}÷ 2\sqrt{2}i = -3-3i ÷ 4 = -\frac{3}{4}-\frac{3}{4}i

As you can see your solution is the last option.

3 0
3 years ago
Charlene is a video game designer and wants to make sure that her games can be played on all types of screens. In order for the
Nikitich [7]

Answer:

The playable area has a width of 9 inches and a height of 6 inches.

Step-by-step explanation:

There are a number of ways you can get there.

1. Check the answers to see which have the right area and aspect ratio.

A: area = 24 in² — does not match 54 in²

B: area = 54 in², aspect ratio 6:9 = 2:3 — does not match 3:2 aspect ratio

C: area = 54 in², aspect ratio 9:6 = 3:2 — matches problem statement

D: area = 121.5 in² — does not match 54 in²

2. If the screen were 3:2 (inches), its area would be 6 in². The area of 54 in² is 9 times that value, so the actual screen dimensions are √9 = 3 times 3:2. That is, they are width:height = 9:6 inches — matches selection C.

3. You can write equations for width and height and solve.

w/h = 3/2

wh = 54

Substituting w=3/2·h into the second equation gives

... (3/2)h·h = 54

... h² = 36 . . . . . multiply by 2/3

... h = √36 = 6 . . . . square root, result in inches

4 0
3 years ago
Read 2 more answers
An apartment cost $875 per month to rent the owner raises the price by 20% and then gives a discount of 8% to renters who signed
USPshnik [31]

Answer: $84

Step-by-step explanation: 20% of 875=175; 175+875=1050; 8% of 1050=84, so your final answer would be $84.

7 0
3 years ago
Read 2 more answers
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