Factor completely x2 + 20x − 36.
1 answer:
Answer:
Step-by-step explanation:
To do this, identify a, b, and c of the quadratic.
a = 1, b = 20, c = |-36|
Find a*c. That's 36. Now find the factors of 36 and the 2 factors that can combine to give you b, which is 20, are the ones we want.
36: 1, 36
2, 18
3, 12
4, 9
6, 6
The ones that combine to give you 20 are 2, 18. Both positive. Therefore,
is how you begin to factor. Factoring by grouping is the way to go.
Factor out what you can from each set of parenthesis:
x(x + 18) + 2(x + 18)
What's common now is what's inside the parenthesis, so that gets factored out:
(x + 18)(x + 2)
That's factored completely!
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Answer:
2/5 hour is closest to 0 1/2 hours, 5/8 hour is closest to 1/2 hour. Therefore, the best estimate for the total time Maria spent with her sister is close to 1 hour
Step-by-step explanation:
We can represent the time Maria spends playing the game as 0.4, since 2/5 as a fraction is 0.4. This is closer to 1/2, which is 0.5 then it is to 0, because 4 is closer to 5 then 0. Then, we can represent the time Maria reads the book as 0.625, which is closer to 1/2 then it is to 1. Now we can add the estimated times. hour
Answer:
142.932
Step-by-step explanation:
given that in triangle ABC, AC =24
Angle A = 30 and Angle B =45
If we draw altitude from C, we get
h = 24sin 30 = 12
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BC=12
By sine formula for triangle
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