First, put fill in the X's with 2.
y = 2*2*3 - 6*2
Next, multiply.
y = 12 - 12
Finally, subtract!
y = 0
Apparently, Y equals 0.
Answer:
m = 4/3
Step-by-step explanation:
Step 1: Write equation
![\frac{3m}{4} =\frac{4}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B3m%7D%7B4%7D%20%3D%5Cfrac%7B4%7D%7B2%7D)
Step 2: Solve for <em>m</em>
- Cross multiply: 6m = 8
- Divide both sides by 6: m = 8/6
- Simplify: m = 4/3
Answer:
![\frac{ \sqrt{6} }{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Csqrt%7B6%7D%20%7D%7B3%7D%20)
Step-by-step explanation:
To find side x , since it the shortest side. Divide the second longest side by sqr root of 3.
Why?
This is a 30-60-90 triangle so that means the second longest side will be sqr root of 3 times more than the shortest side
![\sqrt{2} \div \sqrt{3}](https://tex.z-dn.net/?f=%20%5Csqrt%7B2%7D%20%20%5Cdiv%20%20%5Csqrt%7B3%7D%20)
![\frac{ \sqrt{2} }{1} \times \frac{1}{ \sqrt{3} } = \frac{ \sqrt{2} }{ \sqrt{3} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Csqrt%7B2%7D%20%7D%7B1%7D%20%20%5Ctimes%20%20%5Cfrac%7B1%7D%7B%20%5Csqrt%7B3%7D%20%7D%20%20%3D%20%20%5Cfrac%7B%20%5Csqrt%7B2%7D%20%7D%7B%20%5Csqrt%7B3%7D%20%7D%20)
RATIONALIZE the denominator
![\frac{ \sqrt{2} }{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } = \frac{ \sqrt{6} }{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Csqrt%7B2%7D%20%7D%7B%20%5Csqrt%7B3%7D%20%7D%20%20%20%5Ctimes%20%20%5Cfrac%7B%20%5Csqrt%7B3%7D%20%7D%7B%20%5Csqrt%7B3%7D%20%7D%20%20%3D%20%20%5Cfrac%7B%20%5Csqrt%7B6%7D%20%7D%7B3%7D%20)
Sqr root of 6 over 3 is the answer.
This section is extra If you want to.
Since the longest side is twice the shortest side, the longest side is
![\frac{2 \sqrt{6} }{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%20%5Csqrt%7B6%7D%20%7D%7B3%7D%20)
Let proof
using pythagorean theorem,
![( \frac{ \sqrt{6} }{3} ) {}^{2} + (\sqrt{2} ) {}^{2}](https://tex.z-dn.net/?f=%28%20%5Cfrac%7B%20%5Csqrt%7B6%7D%20%7D%7B3%7D%20%29%20%7B%7D%5E%7B2%7D%20%20%2B%20%20%28%5Csqrt%7B2%7D%20%29%20%7B%7D%5E%7B2%7D%20)
![\frac{6}{9} + 2 = \frac{24}{9}](https://tex.z-dn.net/?f=%20%5Cfrac%7B6%7D%7B9%7D%20%20%2B%202%20%3D%20%20%5Cfrac%7B24%7D%7B9%7D%20)
![\sqrt{ \frac{ {24} }{9} } = \frac{2 \sqrt{6} }{3}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%20%5Cfrac%7B%20%7B24%7D%20%7D%7B9%7D%20%7D%20%20%3D%20%20%5Cfrac%7B2%20%5Csqrt%7B6%7D%20%7D%7B3%7D%20)
So it is right.
Answer:
12?
Step-by-step explanation:
wouldnt the width just be either 12 or 16? because theres nothing else to multiply by