Answer:
a = 36 , b = 6
Step-by-step explanation:
expand the right side using FOIL and compare coefficients with like terms on left side.
(x - b)²
= x² - 2bx + b² , compare to x² - 12x + a , then
- 2b = - 12 ( divide both sides by - 2 )
b = 6
and a = b² = 6² = 36
Answer:

Step-by-step explanation:

Use the slope-intercept formula:

m is the slope and b is the y-intercept. Use the slope formula first:

Rise over run is the change in the y-axis over the change in the x-axis. Plug in the coordinates:


Simplify parentheses (two negatives makes a positive):

Simplify:

The slope is
. Insert into the equation:

Now, to find the y-intercept, take one of the points and substitute for the x and y values of the equation:

Solve for b, the y-intercept. Simplify parentheses:


Add
to both sides:

Simplify:

The y-intercept is
. Insert this into the equation:

Finito.
Answer:
Gabe needs 20 liters of the 40% solution.
He also needs 40 liters of the 70% solution.
Step-by-step explanation:
Equation:
acid + acid = acid
0.40x + 0.70(60-x) = 0.60*60
40x + 70*60 - 70x = 60*60
-30x = -10*60
x = 20 liters
Gabe needs 20 liters of the 40% solution.
He also needs 40 liters of the 70% solution.
The only way the expression can be factored is if a -3 is pulled out...
-3(5t+2)