Answer:
x = 6
Step-by-step explanation:
According to Exterior Angle Property of a triangle , measure of an exterior angle is the sum of its opposite interior angles.
Using the exterior angle property ,
N³ - 2n² - 15n = 0
"n"
n (n² + 2n - 15) = 0
n = 0
n² + 2n - 15 = 0
Δ = (2)² - 4(1)(-15)
Δ = 4 + 60 = 64
n' = (-2+8) / 2 = 6/2 =3
n'' = (-2-8) / 2 = -10/2 = -5
Solution:
S {-5 , 0 , 3 }
Step-by-step explanation:
in essence, these 2 points are the Hypotenuse of a right-angled triangle. the legs are the coordinate differences between the 2 points creating the 3rd point of that triangle at (-10, 7) : the x coordinate of one point, and the y coordinate of the other.
now, we are looking for the midpoint. this midpoint cuts the original line/hypotenuse in half creating a scaling factor of 1/2.
when we create now a similar triangle based on that "half- Hypotenuse", we need to use the same scaling factor also on the legs (the coordinate differences).
so, when we cut the coordinate differences also in half, we get the coordinates for the midpoint on the main line.
xm, ym are the coordinates of the midpoint.
xm = (x1 + x2)/2 = (-10-3)/2 = -13/2 = -6.5
ym = (y1 + y2)/2 = (-6+7)/2 = 1/2 = 0.5
so, the midpoint is (-6.5, 0.5)
8*4=32
4*4/2=8
8-3-2=3
3*4/2=6
32+8+6=46
Answer:
`13.902
Step-by-step explanation:
