Multiply out the "a times the squared coefficient" part on the left-hand side (remember, in this one a = 1 so that does nothing), and convert the right-hand side to squared form. (This is where you use that sign you kept track of earlier, putting that sign in the middle of the squared expression.)
y-4+(9)=(x+3)^2
Simplify - combine like terms.
y+5=(x+3)^2
Move the constant term from the right back to the left.
y=(x+3)^2 - 5
Write in vertex form y=(a(x-h)^2) + k. In other words, if the squared term is x+h write it as x-(-h). If the k term is negative, write it as + (-k).
y=(x-(-3))^2 + (-5)
Now the values for h and k are clear.I hope that this is the answer that you were looking for and it has helped you.
The answer is: " <span>4 cos² Θ " .
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Explanation:
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(cos Θ − cos Θ)² + (cos Θ + cos Θ)²
= 0² + (cos Θ + cos Θ)² ;
= 0 + (2 cos Θ)² = (2 cos Θ)(2 cos Θ) ;
= 4 (cos Θ)² = 4 cos² Θ .
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Answer:
1/8
Step-by-step explanation:
When you are dividing by fractions you flip and multiply this also go's for when you multiply a fraction you flip and divide. what makes it easier is to put it in decimal form so 1/4 = .25 and 1/2 = .50 so what is 25/50? so it would come back to .125 which is equal to 1/8. If you are not very good at math just ignore this lol
Answer:
y = (4/7)x² - (24/7)(x)
Step-by-step explanation:
4 = a(-1)² + b(-1)
4 = a - b
0 = a(6)² + b(6)
36a + 6b = 0
b = -6a
4 = a - (-6a)
7a = 4
a = 4/7
b = -24/7
y = (4/7)x² - (24/7)(x)
Answer:
This means that there were 45 total problems.
Step-by-step explanation:
To find the total number of problems, add all of the different categories together.
Total = Himself + With Sal + Left
Total = 23 + 13 + 9
Total = 45