The equation of the line is 5y = 6x + 8 which passes through point C and perpendicular AB.
<h3>What is the slope?</h3>
The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
We have a triangle ABC is defined by the points A(2,9), B(8,4), and C(-3,-2).
The slope of the segment AB:
m = -5/6
The slope of the line perpendicular to AB:
Let M is the slope of the line:
mM = -1
(-5/6)M = -1
M = 6/5
The line:
y = Mx + c
y = (6/5)x + c
The line passing through the point C(-3, -2)
-2 = (6/5)(-3) + c
c = 8/5
y = (6/5)x + 8/5
5y = 6x + 8
Thus, the equation of the line is 5y = 6x + 8 which passes through point C and perpendicular AB.
Learn more about the slope here:
brainly.com/question/3605446
#SPJ1
1. You times 2.5 by 10 (because there is 1 decimal point) which then equals 25/10.
2. Then you reduce 25/10 by 5, so it will be in simples form. And your answer is 5/2!
Hope this helped and Good Luck! :D
Is it 8 oranges? What do you think?
The answer is : r=1 ur welcome
Answer:
a) the probability of A students study for more than 10 hours per week
P(X>10) = 0.117
b) The probability that an student spends between 7 and 9 hour
P(7<x< 9) = 0.9522
Step-by-step explanation:
Step(I):-
Let 'X' be random variable of the normal distributed with a mean of 7.5 hours and standard deviation of 2.1 hours
mean of the Population is = 7.5 hours
standard deviation of the Population = 2.1 hours
Z = 1.1904
The probability of A students study for more than 10 hours per week
P(X>10) = 0.5-A(Z₁) = 0.5 -A(1.1904) = 0.5 - 0.3830 = 0.117
Step(ii):-
Put x=7
put x=9
The probability that an A student spends between 7 and 9 hour
P(7 < x< 9) = A(9) - A(7)
= 0.7142 +0.238
= 0.9522