Answer:
b) y = 2/3x
Step-by-step explanation:
Slope (m) formula: ![\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
I will be using (3,2) and (-3,-2) to find the slope:
![m=\frac{-2-2}{-3-3}\\m=\frac{-4}{-6} \\m = \frac{2}{3}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-2-2%7D%7B-3-3%7D%5C%5Cm%3D%5Cfrac%7B-4%7D%7B-6%7D%20%5C%5Cm%20%3D%20%5Cfrac%7B2%7D%7B3%7D)
![y = mx + b\\y = \frac{2}{3}x+b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b%5C%5Cy%20%3D%20%5Cfrac%7B2%7D%7B3%7Dx%2Bb)
(3,2)
![y = \frac{2}{3}x+b\\\\2 = \frac{2}{3}(3)+b\\\\2 = 2+b\\-2 -2\\\\0=b](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B2%7D%7B3%7Dx%2Bb%5C%5C%5C%5C2%20%3D%20%5Cfrac%7B2%7D%7B3%7D%283%29%2Bb%5C%5C%5C%5C2%20%3D%202%2Bb%5C%5C-2%20%20-2%5C%5C%5C%5C0%3Db)
![y=mx+b\\\\y = \frac{2}{3}x+0\\\\y = \frac{2}{3}x](https://tex.z-dn.net/?f=y%3Dmx%2Bb%5C%5C%5C%5Cy%20%3D%20%5Cfrac%7B2%7D%7B3%7Dx%2B0%5C%5C%5C%5Cy%20%3D%20%5Cfrac%7B2%7D%7B3%7Dx)
Hope this helps!
Answer:
24/45 - 45/51
Step-by-step explanation:
Tangent can be expressed as opposite/adjacent. So, create a right triangle with one leg = 24 and the other = 45. The hypotenuse is 51 by the Pythagorean theorem. Cosine is adjacent/hypotenuse, so it would be 45/51.
Simplifying
j = (2j + 3)
Reorder the terms:
j = (3 + 2j)
Remove parenthesis around (3 + 2j)
j = 3 + 2j
Solving
j = 3 + 2j
Solving for variable 'j'.
Move all terms containing j to the left, all other terms to the right.
Add '-2j' to each side of the equation.
j + -2j = 3 + 2j + -2j
Combine like terms: j + -2j = -1j
-1j = 3 + 2j + -2j
Combine like terms: 2j + -2j = 0
-1j = 3 + 0
-1j = 3
Divide each side by '-1'.
j = -3
Simplifying
j = -3
1 = B 2 = C I hope it helps
B the phrasing of the question suggest a bias against classical music
that is the answer because they are assuming that no teens like classic music, which is just an opinion, which is bias :)