To create a perfect square trinomial, halve the x coefficient, square it, and then add that value.
In the case of x² + 6x, we would have 6 to get 3, then square 3 to get 9.
We would add 9 to make a perfect square trinomial.
<u>
</u><u>Why this works</u>
A perfect square trinomial is designed to factor to some value (x+n)².
When you FOIL this you get x² + 2nx + n².
As you can see, if you wanted to find the value of that n², you could take that x coefficient 2n, halve it to get n, and then square it to get n²!
Answer: Option 'C' is correct.
Step-by-step explanation:
Since we have given that
Radius of circle = 10 inches
Central angle is given by

As we know the formula for " Length of an arc " :
Length of arc is given by

Hence, length of an arc is 20.95 inches.
Hence, Option 'C' is correct.
Answer:
9 3/4
Step-by-step explanation:
Strategy: first cancel the fraction part of the mixed number, then subtract the remaining fraction from the integer obtained.
10 1/2 - 3/4 = 10 1/2 - 1/2 - 1/4
= 10 -1/4
= 9 3/4
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Strategy: turn the subtracted fraction into a whole number by adding 1/4 to both parts of the problem, then subtract the whole number.
10 1/2 - 3/4 = (10 1/2 +1/4) -(3/4 +1/4)
= 10 3/4 -1
= 9 3/4
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We assume that you know that 1/2 + 1/4 = 3/4, or 3/4 -1/2 = 1/4. If you need to, you can get there by using the equivalent: 1/2 = 2/4.
Answer: $42.4 dollars
Step-by-step explanation: PLZ PLZ PLZ MARK BRAINLIEST