Answer: (1,-1)
Step-by-step explanation:
Midpoint of BC=(6+4)/2, (3–1)/2. =(5,1)
Slope of BC is (3+1)/4–6)= 4/-2 = -2
Slope of perpendicular bisector of BC =+1/2
Eqn of perpendicular bisector is : Y-1 =1/2 (x-5)
Y=1/2 •(x-5) +1
Midpoint of AB. (6–2)/2, (3–1)/2 ={2,1)
Slope of AB is(3+1)/(-2–6) = 4/-8 =-1/2
Slope of perpendicular bisector = +2
Eqn of perpendicular bisector is Y-1. =2( X-2)
Y=2X-4+1 = 2X -3
Solving Y=(X-5)/2 +1
& Y=2X-3
2X-3 =(x-5/2)+1
2X-4 =(x-5/2)
4X-8 = x-5
3X =3
X=1
Y= 2×1–3= -1
Circumcentre is(1,-1)
An event will definitely either happen or not happen.
The total probability of it (happening or not happening) is 100%.
So if the probability of it happening is 87%, then the probability of it
NOT happening is
(100% - 87%) = 13% .
Answer:
-(-5) ± √13 5 ± √13
x = ----------------------- = ---------------
2(3) 6
Step-by-step explanation:
This is a quadratic equation, with coefficients 3, -5 and 1.
The discriminant, b² - 4ac, turns out to be (-5)² - 4(3)(1), or 25 - 12 = 13
Thus, the roots are:
-(-5) ± √13 5 ± √13
x = ----------------------- = ---------------
2(3) 6
To find the x-intercept, substitute in
0
for
y
and solve for
x
. To find the y-intercept, substitute in
0
for
x
and solve for
y
.
x-intercept(s):
(
0
,
0
)
,
(
−
21
,
0
)
y-intercept(s):
(
0
,
0
)
