The sports boosters club is having a bake sale to buy uniforms. They want to raise $250. They need to rent a booth for $20. How
1 answer:
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Answer:
x = ± 3
Step-by-step explanation:
Given
5x² - 45 = 0 ( divide through by 5 )
x² - 9 = 0 ( add 9 to both sides )
x² = 9 ( take the square root of both sides )
x = ± = ± 3
Thus the roots are x = - 3, x = 3
I have a Portuguese Water Dog who's translating for me.
a.
Usually I'll say the linear combination of a sine and a cosine of the same angle is a phase shift and a dilation etc. but here we can take a shortcut. The only time we'll get -1 as the sum is when one of the terms is -1, then the other term will be zero because of .
Answer: x = 3π/2 or x=π
b.
That's the biggest cliche of trig 30/60/90 so x=plus or minus 60 degrees. We're told we're in the fourth quadrant, so
Answer: -√3/2
c.
This time we're in the third quadrant, negative sine
Answer: -(1/4)√7
d.
Second quadrant positive sine, negative tangent
Answer: sin x = √7/5, tan x = -√14/6
e.
We're given the tangent and the sine
Answer: (-2/5)√5