Given:
Line segment NY has endpoints N(-11, 5) and Y(3,-3).
To find:
The equation of the perpendicular bisector of NY.
Solution:
Midpoint point of NY is
Slope of lines NY is
Product of slopes of two perpendicular lines is -1. So,
The perpendicular bisector of NY passes through (-4,1) with slope 
. So, the equation of perpendicular bisector of NY is
Add 1 on both sides.
Therefore, the equation of perpendicular bisector of NY is .
Answer:
See below.
Step-by-step explanation:
It transforms to the Pythagoras theorem.
c^2 = a^2 + b^2 - 2ab cos C
If C = 90, cos C = zero so the last term disappears.
c^2 = a^2 + b^2 - 2ab * 0
c^2 = a^2 + b^2.
I believe tye answer is C
Answer: 1. x= -12 2. x= 12
Step-by-step explanation:
1. 5(+3)=−45
5x+15−15=−45−15
5x= -60
5x/5 = -60/5
x = -60/5
x= -12
2. 1x/2−4=2
x/2 -4=22−4+4=2+4
/2=6
2⋅2=2⋅6
x=2⋅6
x= 12
Answer:
Step-by-step explanation:
Alice and Bill are planning to have three children
We have to find the probability that all three of their children will be girl.
Sample space =S={BBB,BBG,BGB,GBB,GGG,GBG,GGB,BGG}
Total =8
Number of cases in which all three children are girls={GGG}
Probability,P(E)=
Using the formula
Then , the probability that all three of their children will be girls=
