Answer:
-1/4
Step-by-step explanation:
Pick two points on the line
(-4,3) and (4,1)
Using the slope formula
m = (y2-y1)/(x2-x1)
= ( 1-3)/(4 - -4)
= (1-3)/(4+4)
= -2/8
= -1/4
Step-by-step explanation:
factor 4 out of the variable terms, as this helps.
but my approach is simply to define the target and then calculate "backwards".
we want to find
(ax + b)² = a²x² + 2abx + b²
and now we compare with the original equation :
a²x² = 4x²
a² = 4
a = 2
2abx = 16x
2×2×bx = 16x
4b = 16
b = 4
b² = 16, but we have only 3, so we need to subtract 16-3 = 13 from the completed square.
so, our equation is
(2x + 4)² - 13 = 0
(2x + 4)² = 13
2x + 4 = sqrt(13)
2x = sqrt(13) - 4
x = sqrt(13)/2 - 2
Answer:
x=0
y=0
Step-by-step explanation:
2x+3y -----eqn1
2x-y----eqn2
From eqn 2
2x-y
2x =y
Eqn 1 2x+3(2x)
2x+6x = 0
8x = 0
x=0/8
x = 0
Since 2x = y
2(0) =y
y =0
We need 75 quarts of 3% butterfat milk. How much of 2% and 5% do we need to mix? (t = 2% and f = 5%)
A) t + f = 75
B) .02 t + .05 f = (.03 * 75)
B) .02 t + .05 f = 2.25
Solving for t and f:
t = 50 quarts of 2 % and
f = 25 quarts of 5%
Double-Check
50 * .02 = 1 quart of buttermilk
25 * .05 = 1.25 quarts of buttermilk
2.25 quarts divided by 75 quarts = 3 % buttermilk
