For a quadratic of the form

, we can solve by completing the square.
First, we must expand the expression and convert it to the form above.

Completing the square is like forcing a quadratic to be factored like a perfect square trinomial. To do so, we add the square of half of the coefficient b,

, to both sides of the equation.

We then factor like a perfect square trinomial and simplify.

The average height is
and
inches if Allen is
tall and Terrel is
tall.
How to find the average height ?
Allen height is 
Terrel height is 
And we know that 
So Allen height is

And Terrel height is

Average of the Allen and Terrel height is

And average height in feet is 
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The mat adds 3 inches to each side, so the length would be 3+20 = 23 inches. The width would become 3 + 9 = 12 inches.Area = Length x width:
23 x 12 = 276 square inches
Answer:
11/14
Step-by-step explanation:
11/4 / 3 1/2
3 1/2= 3*2+1= 6+1=7/2
11/4 * 2/7= 22/28
22/2=11
28/2= 14
11/14
Answer:
We need 540 grams of 0.5% hydrocortisone cream
Step-by-step explanation:
Lets call x the amount of grams needed. This means that the combined cream will have 180+x grams. We want x such that
x * 0.005 + 180*0.025 = (180+x)*0.01
Hence
0.005x + 4.5 = 1,8+0.01x
Lets put the x in the same side and take common factor
4.5-1.8 = 0.01x-0.005x
2.7 = (0.01-0.005)x = 0.005x
As a result
x = 2.7*0.005 = 540
We need 540 grams.