Maximum of function
where
you can find by using this formula:
In height function you've got:
a= -16
b= 200
c= 4
Just substitute! You'll get
Maximum height is 629 [units]
Answer:
The expression (3n-2)(4n+1) can be factored with the Distributive Property. It cannot be factored with a Least Common Multiple (LCM), for instance, because the terms within each set of parentheses are completely simplified.
Step-by-step explanation:
Part I
.
Good luck to you!
Answer:
60
Step-by-step explanation:
that right
Remark
The upper answer is correct. Any time you are dealing with addition or subtraction and one of the numbers is irreducible and remains irrational no matter what you do, then the entire addition or subtraction of terms remains irrational.
For the second one that you did not answer, it works the same way as the comment says.
3√2 * 8√18 give two numbers that can be multiplied under the square root sign.
3*8 = 24
√(2*18) = √(36) = 6
The answer is 24*6 = 144
This procedure is the only way I know that you can get a rational result from two irrational factors. In fact it is really quite useful to know. You will use this when you learn how to rationalize the denominator. This exact method is used to do that.
Say the base length is 8, and the height is 8. If you multiply it by 1/4, the new base length is 2. The formula for the area of a triangle is: A=1/2bh you take 1/2 of 2, which is 1, and you multiply by the height (8) to get 8 square units for the area. This is opposed to if you simply did the formula without multiplying by 1/4. If you avoided multiplying by 1/4, you would get A=(4)(8), which would get you 32 square inches for the area. So, in conclusion, multiplying the base by 1/4, gets you 1/4 the area.
