They are both in the thousands places
You have to complete the square to get it into vertex form. Do this by setting the function equal to zero and at the same time moving the constant over to the other side of the equals sign so you have this:
. Now we can complete the square on the polynomial by taking half the linear term, squaring it, and adding it to both sides. Our linear term is 4. Half of 4 is 2, and 2 squared is 4, so we add 4 to both sides:
and simplify to get
. In this process we have created a perfect square binomial on the left, which happens to be
. Now move the -6 back over by addition to get
. The vertex is found at (-2, 6), the third choice down.
If everything on inside of a line is 180->
(Line) --------/---------- everything on top equals 180 and there should be a number on either side. For instance 180-50 for the top would be 130, the wide angle's angle. I answer everything I like and come across so sorry I am four weeks late.
Answer:
letter C: 100
Step-by-step explanation:
This problem can be configured as an arithmetic progression:
The first value is 10, the ratio is also 10 (the multiples of ten are 20, 30, 40, ...) and the number of terms is 19 (10, 20, 30, ... , 180, 190 -> total of 19 numbers).
So, we can use the following formula to calculate the sum of all these numbers:
Sn = n(a1 + an)
/2
where Sn is the sum, n is the number of terms, a1 is the first term and an is the last one.
The result we want is the average of the sum, so we need to divide Sn by n:
Average = Sn/n = n(a1 + an)
/2n = (a1 + an)
/2 = (10+190)/2 = 200/2 = 100
The correct option is letter C.
Answer:
36/25
Step-by-step explanation:
7 multiplied by 3 multiplied by 2 whole over 7 multiplied by 5, the whole raised to the power of 2 multiplied by 7 to the power of 0 over 5 to the power of negative 3, whole to the power of 3 multiplied by 5 to the power of negative 9
((7 * 3 * 2)/(7 * 5))^2 * (7^0/5^-3)^3 * 5^-9 =
= (42/35)^2 * (1 * 5^3)^3 * 5^-9
= (6/5)^2 * 5^9* 5^-9
= 36/25 * 5^0
= 36/25
