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:
2800 in^3
Step-by-step explanation:
Calculate the volume as normal, but take 1/10 of the result. Since volume is length*width*height, we have 50*28*20 which is 28000. 1/10 of that is 2800. So the volume when scaled down by a factor of 1/10 is 2800 in^3
Answer:
35,393,258
Step-by-step explanation
Rounded to the nearest whole number, that is 35,393,258.
