Answer:
5/14
Step-by-step explanation:
The total number of cards is 8
There are 5 blue cards
P(1st card is blue) = blue/total = 5/8
We take away a blue card
The total number of cards is 7
There are 4 blue cards
P(2nd card is blue) = blue/total = 4/7
The probability of blue blue is P(blue blue ) =
P(1st card is blue)*P(2nd card is blue) =
5/8* 4/7
20/56
We can divide the top and bottom by 4
5/14
The standard form of a quadratic equation is

, while the vertex form is:

, where (h, k) is the vertex of the parabola.
What we want is to write

as

First, we note that all the three terms have a factor of 3, so we factorize it and write:

.
Second, we notice that

are the terms produced by

, without the 9. So we can write:

, and substituting in

we have:
![\displaystyle{ y=3(x^2-6x-2)=3[(x-3)^2-9-2]=3[(x-3)^2-11]](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%20y%3D3%28x%5E2-6x-2%29%3D3%5B%28x-3%29%5E2-9-2%5D%3D3%5B%28x-3%29%5E2-11%5D)
.
Finally, distributing 3 over the two terms in the brackets we have:
![y=3[x-3]^2-33](https://tex.z-dn.net/?f=y%3D3%5Bx-3%5D%5E2-33)
.
Answer:
Answer:
Well your using absolute value and everything in absolute value is positive so you get rid of the negative.
Step-by-step explanation:
So you distribute the negative into the absolute value equation . And it leaves you with
|-1+5a|=29 now you can solve
your subtract your -1 from both sides bc you are solving for a
that gives you
5a=30 then you divide 5 divided by 30 is what 6 so that’s your answer
a=6
Answer: 24
Step-by-step explanation:
6, 12, 18, 24
8, 16, 24
Answer:
Step-by-step explanation:
88 / sides of a square
88 / 4 = 22
each side is 22m