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:
9
Step-by-step explanation:
Compare your x2 + y2=81 to the following:
x^2 + y^2 = 81
The " ^ " symbol indicates exponentiation.
Now compare x^2 + y^2 = 81 to
x^2 + y^2 = r^2.
This is the standard equation of a circle of radius r centered at the origin, (0,0). You can see for yourself that 81 must equal r^2.
Taking the square root of 81, we get plus or minus 9.
But the radius must be positive, so we reject the -9 and take +9.
The radius is 9.
A.
6/9 + 6/9 = 12/9
Hope this helps!!!
Answer:
you lost me at composite
Step-by-step explanation:
Have a good day
Answer: a. $2700
b. $10200
Step-by-step explanation:
a. The interest she would have earned at the end of the 6 years can be gotten using the formula
= PRT/100
= $7500 × 6% × 6
= $7500 × 6/100 × 6
= $7500 × 0.06 × 6
= $2700
b. Her balance when she wants to withdraw the money would be:
= $7500 + $2700
= $10200
