One nice thing about this situation is that you’ve been given everything in the same base. To review a little on the laws of exponents, when you have two exponents with the same base being:
– Multiplied: Add their exponents
– Divided: Subtract their exponents
We can see that in both the numerator and denominator we have exponents *multiplied* together, and the product in the numerator is being *divided* by the product in the detonator, so that translates to *summing the exponents on the top and bottom and then finding their difference*. Let’s throw away the twos for a moment and just focus on the exponents. We have
[11/2 + (-7) + (-5)] - [3 + 1/2 + (-10)]
For convenience’s sake, I’m going to turn 11/2 into the mixed number 5 1/2. Summing the terms in the first brackets gives us
5 1/2 + (-7) + (-5) = - 1 1/2 + (-5) = -6 1/2
And summing the terms in the second:
3 + 1/2 + (-10) = 3 1/2 + (-10) = -6 1/2
Putting those both into our first question gives us -6 1/2 - (-6 1/2), which is 0, since any number minus itself gives us 0.
Now we can bring the 2 back into the mix. The 0 we found is the exponent the 2 is being raised to, so our answer is
2^0, which is just 1.
I am going to build a chart this is best when using ratios
seniors junior total
7 4
*? *? *?
Totals 121
The way we fill out this chart is that we add the rows and multiply the columns.
So we add 7 + 4 and fill it in our chart we get 11
seniors junior total
7 4 11
*? *? *?
Totals 121
now to find the *? need to divide 121/11 to get *?
121/11 = 11
so now our chart looks like this
seniors junior total
7 4 11
11 11 11
Totals 121
Now we multiply each column
so
7 * 11 = 77
4*11 = 44
now our chart look like this
seniors junior total
7 4 11
11 11 11
Totals 77 44 121
so seniors get 77 spaces
and juniors get 44 spaces.
Answer:
y + 1 = 3(x - 1)
Step-by-step explanation:
The given point is (1,-1) meaning that x1 = 1 and y1 = -1
The slope of this line is m = 3 because we go up 3 and over to the right 1 (eg: go from the point (1,-1) to (2,2) to see this in action)
Plug these three pieces of info into the point slope formula below
y - y1 = m(x - x1)
y - (-1) = 3(x - 1)
y + 1 = 3(x - 1)
Answer:
3 3/11 im sure its correct.
