Answer:
See below.
Step-by-step explanation:
x^2 + 2 = 3^2/3 + 3^-2/3
x^2 = 3^2/3 + 3^-2/3 - 2
x = √(3^2/3 + 3^-2/3 - 2)
x = 0.748888296
Substitute for x in 3x^3 + 9x - 8:
3( 0.748888296)^3 + 9( 0.748888296) - 8 = 0.
So it is proved.
Start by multiplying the 9 out:
9(-6 + 8y) = -54 + 72y
Then, add the 7:
-54 + 72y + 7
Then simplify the whole thing:
-47 + 72y
Answer:
c is 110 degrees
b is 70 degrees
a is 20 degrees
Step-by-step explanation:
for c, 180-70=110
for b, 180- angle c=180-110=70
for a, 180-90-angle b=180-90-70=20
Answer:
x-intercept:(2,0)
y-intercept:(0,-4)
Step-by-step explanation:
Answer:
4. 158
Step-by-step explanation:
First let's make things a little simpler and put these arcs in terms of x. We know that the degree measure around the outside of a circle, regardless of its size, is 360. So let's say that arc BC is x. That means that arc BDC is 360 - x. This is because arc BC + arc BDC = 360. Substituting in our x's we have:
x + 360 - x = 360 and
360 = 360. (That's just the proof that putting in our x's as we did does in fact work!)
Following the formula then, we have
and

Multiply both sides by 2 to get rid of the fraction and get
44 = 360 - 2x
Subtract 360 rom both sides to get
-316 = -2x
Divide both sides by -2 to get that x = 158
Since we are looking for arc BC and we designated arc BC as our x, that means that arc BC = 158.