Answer:
E(29/4,3)
Step-by-step explanation:
Given that,
Segment CD has point E located on it such that CE:ED = 3:5
The coordinates of C and D are (5, -6) and (11,18) respectively.
We need to find the coordinates of E. Let the coordinates are (x,y). Using section formula to find it as follows :

So, the coordinates of E are (29/4,3).
A, B and c are all answers
Answer:
Step-by-step explanation:
Given function is,
f(x) =
Vertical asymptote of the function,
x = 2
Horizontal asymptote of the function,
y = 3
No oblique asymptotes.
Therefore, graph having vertical and horizontal asymptotes as x = 2 and y = 3 will be the correct graph as attached.
Answer:
The two intersections would be (3, 10) and (-2, 0)
Step-by-step explanation:
To solve this system of equations, set the two equations equal to each other and solve for x.
2x + 4 = x^2 + x - 2
2x = x^2 + x - 6
0 = x^2 - x - 6
0 = (x - 3)(x + 2)
Now set the parenthesis equal to zero to get the x values.
x - 3 = 0
x = 3
x + 2 = 0
x = -2
Now we know the x values of each interception. We can find the y values by plugging into either equation.
y = 2x + 4
y = 2(3) + 4
y = 6 + 4
y = 10
y = 2x + 4
y = 2(-2) + 4
y = -4 + 4
y = 0