Thank you for asking this question. Here is your answer:
M = y2 - y1/x2 - X1 = M
= 290 - 210/120 - 80
M = 80/40
M = 2
Now we will consider y intercept
y = mx + b
210 = 2(80) + b
210 = 160 + b
b = 210 - 160
= 50
Now we will combine everything in order to get the answer.
y = 2x + 50
y = 2(60) + 50
y = 120 + 50
y = 170
So the final answer for this question is $170.
If there is any confusion please leave a comment below.
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I have attached the graph
Answer:
x = 8*root3
y = 16
Step-by-step explanation:
You can use tangent and cosine of 60° to find x and y, BUT THERE'S A SHORTCUT. You pointed out that its a 30°-60°-90° triangle. That is a special right triangle. Here's the shortcut:
the longest side (hypotenuse) is double the shortest side. We have an 8 on the shortest side, so the hypotenuse (longest side) is 16. This ALWAYS works for 30°-60°-90° triangles!
Another shortcut:
The longer leg is the shorter leg × root3.
This ALWAYS works on 30°-60°-90° triangles.
So on your triangle, the short side is 8, that means the longer leg is 8×root3.
ta-daaaa!
6^2 = x (x - 9)
x^2 - 9x - 36 = 0
(x -12)(x + 3) = 0
x - 12 = 0; x = 12
x +3 = 0; x = -3
so in this case x = 12 then DC = 12 - 9 = 3
y^2 = 12^2 - 6^2
y^2 = 144 - 36
y^2 = 108
y = 10.4
