Answer:
Slope= -5
Step-by-step explanation:
The formula for slope= (y2-y1)/(x2-x1)
First you label your points:
X1=-9
Y1=6
X2=-6
Y2=-9
Next you plug in your points and solve
-6-9=-15
-6-(-9)=3
And finally, you simplify
Slope= -15/3=5
If possible, please mark brainliest.
Answer:
x=105
Step-by-step explanation:
75+75+x+x=360
150+2x=360
2x=210
x=105
I hope this is correct and helps you!
<span>1, 7, 23, 161 is what can go into 161</span>
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
