Answer:
(6,1)
Step-by-step explanation:
midpoint = ((x2+x1),(y2+y1)/2)
= (6+6)/2, (-5+7)/2
= 12/2, 2/2
= 6,1
Answer:
x=-11/12
Step-by-step explanation:
Given an equation for x
x -2/3(3x - 4) + 3x = 5/6
We are asked to find the value of x.
We use equation rules to solve
To get rid of denominator in fraction, let us multiply the whole equation by 6.
6x-4(3x-4) +18x = 5
Simplify:
-6x+18x+16 =5
12x = 5-16 = -11
x = -11/12
Answer:
k = 5
Step-by-step explanation:
y = kx
10 = 2k
k = 5
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!
