Answer:
Step-by-step explanation:
7x - 6 = 12 - 2x
9x - 6 = 12
9x = 18
x = 2
7(2) - 6 = 14 - 6 = 8 AB
12 - 2(2) = 12 - 4 = 8 BC
8 + 8 = 16 AC
Answer:
2 + 3i, midpoint is (2,3)
Step-by-step explanation:
we need to find the midpoint between (-1+9i) and B=(5-3i)
To find the midpoint of two points (a+bi) and (c+di) in a complex plane,
we apply formula

A = (-1+9i) and B=(5-3i)
Midpoint for AB is


2 + 3i , so midpoint is (2,3)
Answer:
Not for sure but i think so
Step-by-step explanation:
Answer:

Step-by-step explanation:
We are factoring

So:
((2•5^2x^2) + 485x) - 150
Pull like factors :
50x^2 + 485x - 150 = 5 • (10x^2 + 97x - 30)
Factor
10x^2 + 97x - 30
Step-1: Multiply the coefficient of the first term by the constant 10 • -30 = -300
Step-2: Find two factors of -300 whose sum equals the coefficient of the middle term, which is 97.
-300 + 1 = -299
-150 + 2 = -148
-100 + 3 = -97
-75 + 4 = -71
-60 + 5 = -55
-50 + 6 = -44
-30 + 10 = -20
-25 + 12 = -13
-20 + 15 = -5
-15 + 20 = 5
-12 + 25 = 13
-10 + 30 = 20
-6 + 50 = 44
-5 + 60 = 55
-4 + 75 = 71
-3 + 100 = 97
Step-3: Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 100
10x^2 - 3x + 100x - 30
Step-4: Add up the first 2 terms, pulling out like factors:
x • (10x-3)
Add up the last 2 terms, pulling out common factors:
10 • (10x-3)
Step-5: Add up the four terms of step 4:
(x+10) • (10x-3)
Which is the desired factorization
Thus your answer is

Answer:
126 parts in 9 and a half hours
Step-by-step explanation:
56 parts in 4 hours
that means 56 parts in 240 mins
9 hours and 30 minutes in minutes is 570 minutes
56m parts:240 mins
540 mins
to get to 540 from 240, you multiply by 2.25.
you can work this out by doing 540 divided by 240
now, multiply 56 by 2.25.
the answer is 126 parts