Answer:
y = -1/3x + 2
Step-by-step explanation:
The slopes of perpendicular lines are negative reciprocals.
The line y = 3x - 2 has slope 3.
The perpendicular line has slope -1/3.
Now we find the equation of the line that has slope -1/3 and passes through (-9, 5).
y = mx + b
y = -1/3x + b
5 = (-1/3)(-9) + b
5 = 3 + b
b = 2
The equation of the perpendicular is
y = -1/3x + 2
Answer:
x = -52
Step-by-step explanation:
1/3x-2/3=-18
Multiply each side by 3 to clear the fractions
3(1/3x-2/3)=-18*3
x - 2 = -54
Add 2 to each side
x-2+2 = -54+2
x = -52
If the total cost was 21.35, and the poster cost 8.95, then all you need to do is subtract to poster cost from the total cost to find the cost of the pencil.
21.35-8.95= $12.40
Pythagorean theorem is
![a^{2} + b^{2} = c^{2}](https://tex.z-dn.net/?f=a%5E%7B2%7D%20%2B%20b%5E%7B2%7D%20%3D%20c%5E%7B2%7D)
and using that sin is opposite/hypotenuse, you can find the third side of the triangle.
![11^{2}+(adjacent)^{2} = 61^{2} \\ 121+ (adjacent)^{2} = 3721 \\ (adjacent)^{2}=3600 \\ adjacent = 60](https://tex.z-dn.net/?f=11%5E%7B2%7D%2B%28adjacent%29%5E%7B2%7D%20%3D%2061%5E%7B2%7D%20%5C%5C%20121%2B%20%28adjacent%29%5E%7B2%7D%20%3D%203721%20%5C%5C%20%28adjacent%29%5E%7B2%7D%3D3600%20%5C%5C%20adjacent%20%3D%2060)
now you know adjacent is 60, so cos=60/61