Midpoint formula : m = (x1 + x2) / 2 , (y1 + y2) / 2
midpoint is (6,4)
one point is (2,1)...x1 = 2 and y1 = 1
(6,4) = (2 + x2) / 2 , (1 + y1)/2
so 2 + what divided by 2 = 6....
(2 + x) / 2 = 6
2 + x = 6 * 2
2 + x = 12
x = 12 - 2
x = 10
and 1 + what divided by 2 = 4..
(1 + y)/2 = 4
1 + y = 4 * 2
1 + y = 8
y = 8 - 1
y = 7
so ur other endpoint is : (10,7)
Answer: b
Step-by-step explanation:
Answer:
x² – x – 12 = (x – 4)(x + 3)
Step-by-step explanation:
Identify two numbers that add to -1 and multiply to -12, let's call them p and q.
So ax² + bx + c = (x + p)(x + q)
pq = c
p + q = b.
It is easier to find these numbers by finding factors of -12.
This can be done by splitting the number up until all the numbers are prime.
-12 → 6 × -2 or -6 × 2 → -(3 × 2 × 2)
There can only be two numbers so the only options we have are 6 and -2, -6 and 2, 3, and -4, or -3 and 4.
We can eliminate them by adding them up.
6 + -2 = 4 ≠ -1 so that can't be it.
-6 + 2 = -4 ≠ -1 so that can't be it either.
-3 + 4 = 1 ≠ -1
therefore p and q are 3 and -4 because 3 + -4 = -1.
so x² – x – 12 = (x – 4)(x + 3)
p = -4, and q = 3.
(x – 4)(x + 3) = x(x + 3) – 4(x + 3) = x² + 3x – 4x + 12 = x² – x – 12
Answer: At least 4/14 = 28.5%
Step-by-step explanation:
Select the location of a math book at the far end. The probability that the book next to it is a math book:
4 remaining math books, out of the 14 remaining books
In the middle, there are two potential spots adjacent to each book, so it could be higher - that’s why I say “at least” 4/14
6(1/2w-3/4)
distribute
6*1/2 w - 6 * 3/4
3 w -18/4
divide top and bottom by 2
3w -9/2
change to a mixed number (9/2 = 2 with 1 left over)
3w -4 1/2
