the idea behind the completion of the square is simply using a perfect square trinomial, hmmm usually we do that by using our very good friend Mr Zero, 0.
if we look at the 2nd step, we have a group as x² - x, hmmm so we need a third element, which will be squared.
keeping in mind that the middle term of the perfect square trinomial is simply the product of the roots of "a" and "b", so in this case the middle term is "-x", and the 1st term is x², so we can say that
so that means that our missing third term for a perfect square trinomial is simply 1/2, now we'll go to our good friend Mr Zero, if we add (1/2)², we have to also subtract (1/2)², because all we're really doing is borrowing from Zero, so we'll be including then +(1/2)² and -(1/2)², keeping in mind that 1/4 - 1/4 = 0, so let's do that.
Hello There!
To find out if these lengths make a triangle, you have to add up any two sizes and they must be greater than the third side for it to form a triangle.
Let's Test It!
"9+12=21" 21 is greater than 15
"9+15=24" 24 is greater than 12
Yes This Does Form A Triangle!
Answer:
inches
Step-by-step explanation:
The arc length is calculated as
arc = circumference of circle × fraction of circle
= 2πr ×
= 2π × 10 ×
= 20π × = = inches
Answer:
$96,008
Step-by-step explanation:
The verbal description of the relationship translates to ...
(last month's sales) -21.5%×(last month's sales) = $75,366
Simplifying, we have ...
0.785 × (last month's sales) = $75,366
Dividing by the coefficient of the variable, we find ...
(last month's sales) = $75,366/0.785 = $96,007.64
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The sales last month were $96,008.