Answer:
y=-5/2x+(Any number)
Step-by-step explanation:
First, find the slope of that line
3+2=5
-5+7=2
5/2 is the slope
Perpendicular lines have the slope that is opposite and a fliped sign
This means that the slope should be -2/5
The equation of the line would be y=-5/2x+(Any number)
I’ll say D , hope this helps u
Answer:
The equation in slope-intercept form is y = 8/5x-4.
I hope this helps! Have a nice day!!
Answer:
Angle B is 120°
Step-by-step explanation:
Since it's a supplementary angle (angles that add up to 180°) on top of the triangle, you would find ∠B by subtracting 180 by 60 and ∠B will be 120°. Hope this helps:)
Answer:
a = 2, b = -9, c = 3
Step-by-step explanation:
Replacing x, y values of the points in the equation y = a*x^2 + b*x +c give the following:
(-1,14)
14 = a*(-1)^2 + b*(-1) + c
(2,-7)
-7 = a*2^2 + b*2 + c
(5, 8)
8 = a*5^2 + b*5 + c
Rearranging:
a - b + c = 14
4*a + 2*b + c = -7
25*a + 5*b + c = 8
This is a linear system of equations with 3 equations and 3 unknows. In matrix notation the system is A*x = b whith:
A =
1 -1 1
4 2 1
25 5 1
x =
a
b
c
b =
14
-7
8
Solving A*x = b gives x = Inv(A)*b, where Inv(A) is the inverse matrix of A. From calculation software (I used Excel) you get:
inv(A) =
0.055555556 -0.111111111 0.055555556
-0.388888889 0.444444444 -0.055555556
0.555555556 0.555555556 -0.111111111
inv(A)*b
2
-9
3
So, a = 2, b = -9, c = 3
