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: = 9
There is really no steps for this answer...
Answer:
A. 8 gallons
B. Drive by car is $59.4 cheaper than travel by train
Step-by-step explanation:
According to the scenario, given data are as follows,
Total drive = 400 miles
Total drive per gallon = 50 miles
Fuel cost per gallon = $4.45
A. So, Total fuel required to drive 400 miles can be calculated as follows,
Total fuel required = Total drive ÷ Total drive per gallon
By putting value, we get,
Total fuel required = 400 ÷ 50
= 8 gallons
B. Total cost if drive by car = 8 gallons × $4.45 = $35.6
Cost if travel by train = $95
Hence it is clearly shows that drive by car is much cheaper than travel by train.
Cost saved by travel by car = $95 - $35.6 = $59.4
So, drive by car is $59.4 cheaper than travel by train.
Answer:
28.27433
Step-by-step explanation:
using the pie radius squared formula
pie radius squared=pie 3 squared
Y-4X =3 ; 2x-3y=21
Y= 3+ 4x
2x -3( 3+4x)= 21
2x- 9- 12x= 21
-10x -9= 21
-10x -9+9= 21+9
-10x = 30
X= 30/-10= -3
Y= 3+4x = 3+ 4* (-3)= 3-12= -9
