Answer:
It's the last choice: 2x^2 - 5x - 8 - 37/(x - 5).
Step-by-step explanation:
Long division:
2x^2 - 5x -8 <---------------Quotient
---------------------------------
x - 5 ) 2x^3 - 15x^2 + 17x + 3
2x^3 - 10x^2
- 5x^2 + 17x
- 5x^2 + 25x
- 8x + 3
- 8x + 40
-37 <------ Remainder.
It should be just 12b, since they all have the same exponent, they can all be combined.
First:
2x + 2z = 4
2(x+z)=4
x+z=4/2
x=2-z
-x - y - z= -8
-(2-z)-y-z= -8 replace x
-2+z-y-z= -8 (cancel z)
-2-y= -8
6 = y
Then:
-4x + 4y + 5z = 7 replace x and y
-4(2-z)+4*6 + 5z = 7
-8 + 4z + 24 + 5z = 7
16 + 9z = 7
9z = 7 - 16
9z = -9
z = -9/9
z= -1
Finally
x= 2-z replace z
x = 2- (-1)
x = 3
Answer:
see attached for diagram
a) √13
b) √29
c) 4
Step-by-step explanation:
Equation of the circle: 
⇒ center = (-1, 3)
⇒ radius = √16 = 4
Distance between 2 points formula:
a) let (-1, 3) = 
let (2, 1) = 
b) let (-1, 3) =
let (4, 1) =
c) let (-1, 3) =
let (3, 3) =
Answer:
First step
Step-by-step explanation:
Subtract the 4 to the other side making the equation
(12x+8)+4=3
12x+8=-1
12x=-9
x=-3/4
