Answer:
A) (-5, -34)
Step-by-step explanation:
f(x) = x^2 + 10x - 9
We complete the square to get the equation in vertex form
Take the coefficient of the x term and divide by 2 then square it. We add it and then subtract it not to change the value of the equation
f(x) = x^2 + 10x +(10/2)^2 - (10/2)^2 - 9
f(x) = x^2 +10x +25 -25 -9
f(x) = (x^2 +10x +25) -34
The term in parentheses simplified to (x+10/2) ^2
= (x+5)^2 -34
= (x - -5)^2 -34
This is in the form (x-h)^2 +k
The vertex is (h,k) h=-5 and k=-34
(-5,-34)
Answer:
The width of the rectangle is 2.3 m
Step-by-step explanation:
Now, when we are asked to find the area of the rectangle, we will use the formula: 
. We should be given with at least two values, and then we can use the above formula and can find the third variable.
Now, we are given that the area of a rectangle is 12.65 
and the length measures 5.5 m
So the width is given as:
So this is the required with of the rectangle.
Answer:
f ' (n) = 5f
Step-by-step explanation:
1- Take the derivative
2- remove the parenthesis
3- use differentiation rules
4- Differentiate
5- Simplify
