Answer:
y = (x + 4)²
Step-by-step explanation:
Given equation is,
y = x²+ 8x + 16
By using identity (a + b)² = a² + 2ab + b²
y = x² + 2(4)(x) + 4²
Here a = x and b = 4
y = (x + 4)²
Therefore, factored form of the given equation is y = (x + 4)²
Answer:
36 inches
Step-by-step explanation:
The total cost is $43.5 and it is obtained from the equation c = 6.5n + 25
<u>Solution:</u>
Given that, while your family is visiting Deep creek lake, you and your mother decide to go boating.
The Rangers charge $6.50 per hour in addition to $25.00 deposit to rent a canoe.
If you wish to rent the canoe from 12:30 to 3:30 PM,
We have to write and solve a linear equation to find the total cost to rent the canoe.
Now, we know that,
<em>total cost = charges + rent fee
</em>
Let total cost be "c" and number of hours rented be "n"
Now, they used canoe from 12:30 to 3:30, which means 3 hours of time
So, put n = 3 in (1)
c = 6.5(3) + 25
c = 19.5 + 25
c = 43.5
Hence, the total cost is $43.5 and it is obtained from the equation c = 6.5n + 25
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!