Answer:
(a + 2b)(a - b)
Step-by-step explanation:
Assuming you require the expression to be factored
Given
a² + ab - b² ← factor out from each term
= (a² + ab - 2b²) ← factor the quadratic
Consider the factors of the coefficient of the b² term(- 2) which sum to give the coefficient of the ab- term (+ 1)
The factors are + 2 and - 1, since
2 × - 1 = - 2 and 2 - 1 = + 1, thus
a² + ab - 2b² = (a + 2b)(a - b) and
a² + ab - b² = (a + 2b)(a - b)
= 3 Multiply both sides by 2
-4 + x = 6 Add 4 to both sides (to cancle out the -4)
x = 10
Answer: The value of x is 45
Step-by-step explanation:
The equation x/3-6=9 is a linear equation, where x/3 is the same as one-third of x.
Thus it is easily simplified as such:
x/3-6=9
Collect like terms
x/3 = 9 + 6
x/3 = 15
i.e (1/3) of X = 15
To get the value of x, cross multiply
x = 3 x 15
x = 45
Thus, the value of x is 45
Multiply all terms in the first equation by 2 and all terms in the second by 3.
You should obtain:
6x + 16y = 34
-6x + 27y = 9
------------------
43y =43, and so y = 1. Subbing 1 for y in the first eq'n, we get
3x + 8(1) = 17, or 3x = 9, or x = 3.
The solution is (3, 1).
Answer:
Step-by-step explanation:
Calling it blocks is a little weird. but a good way to do it is to move left or right until you are over or below where you want to go then move up or down accordingly. Each move, left, right up or down will count as one block.
So from the fire station you go 1 to the right and then 6 down, for a total of 7. then from the library it's 3 right then 4 up, which is 7 again. 7 to the first stop then 7 to the second makes 14 total.
If there's something you don't get let me know.
