Question

Determine the coordinates of all the points of intersection of:

1) y = x^2 +3x - 4 and y = 5x +11
2) y = cos x and y = sin x in quadrant 1

Answer 1

put 5x+11 in 1st eqn and get 5 and -3 as ur x's points
then solve for y for both values and get 36 and -4 as ur values

at x =45 degrees its a std alue

Answer 2

y = 5x+11
gradient = 5
y intercept is = 11.
x intersept is -11/5

I can help you with your parabola. Give me a second.

Answer 3

Do you want the solutions or do you want help achieving the solutions?

Answer 4

y = x^2 +3x - 4 and y = 5x +11
Equate and solve for x
5x +11 = x^2 +3x -4
0=x^2 -2x -15
0 =(x^2 -5x +3x -15)
0=(x-5) (x +3)
Solving we get x =5 and x = -3
Plug in to find y coordinate of the points
y = 5x +11
x =5, y = 5*5 +11 = 25 +11 = 36
x =-3, y = 5*(-3) +11 = -15 +11 = -4
Points of intersection are (5,36) and (-3,-4)