A full circle has 360 degrees so a semi circle or half circle has half the amount f degrees
a semi circle has 180 degrees
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From 0 move to left two 1/3, them move to right four 1/3. The answer is 2/3
See the image
Y=-3x-2
subsitute -3x-2 for y
-7x+3(-3x-2)=10
distribute
a(b+c)=ab+ac
3(-3x-2)=-9x-6
-7x-9x-6=10
add like terms
-16x-6=10
add 6
-16x=16
multiply -1
16x=-16
divide 16
x=-1
subsitute
y=-3x-2
y=-3(-1)-2
y=3-2
y=1
x=-1
y=1
(x,y)
(-1,1)
Answer:
Step-by-step explanation:
Sum of angles in a triangle = 180
1. 180 = 78 + 37 + x
180 = 115 + x
Subtract 115 from both sides
180 - 115 = 115 + x - 115
180 - 115 = x
65 = x
x = 65°
2. 180 = 80 + 66 + x
180 = 146 + x
Subtract 146 from both sides
180 - 146 = 146 + x - 146
34 = x
x = 34°
The Cartesian equivalent of the polar coordinates (r, theta) is
(r cos t, r sin t), where t = theta.
So, (2, 3pi/4) becomes
(2 cos(3pi/4), 2 sin(3pi/4))
(2 • -sqrt{2}/2, 2 • sqrt{2}/2)
Answer: (-sqrt{2}, sqrt{2})
Done.
Note: sqrt = square root for short.
