Answer:
Part 4) 
Part 5) 
Part 6) 
Step-by-step explanation:
Part 4) Find ER
we know that
In the right triangle ERF
Applying the Pythagorean Theorem
substitute the given values
solve for ER
Part 5) Find DF
we know that
In the right triangle DRF
Applying the Pythagorean Theorem
substitute the given values
simplify
Part 6) Find DE
we know that
----> by segment addition postulate
we have
substitute
Answer:
a. 205320
b. 34220
c. 60! / (35)! (25)! + 60!/ (40)!(20)! + 60!/ (45)! (15)!
Step-by-step explanation:
a) The number of ways to dustribute exams among the TA's is:
n / (n - r)!
n= number of things to choose from
r= Choosing r number
60P3= 60! / (60 - 3)!
(60)(59)(58)(57)! / (57)!
=205320
B) The number of ways to dustribute the exams among the TA's is:
n! /(n - r)! r!
60C3= 60! /(60 - 3)! 3!
= 60!/ 57! 3!
= 60 × 59 × 58 / 3 × 2 × 1
= 34220
C) The required number of ways is:
60C25 + 60C20 + 60C15
= 60! / (35)! (25)! + 60!/ (40)!(20)! + 60!/ (45)! (15)!
Answer:
Y = 10/7X + 4
Y intercept = 4
Slope = 10/7
X intercept = -40/7
Step-by-step explanation:
Incase you are asked the equation of the line
The slope intercept equation is as follows -
(1)....Y = mx + b
where m - Slope
b - Y - intercept
the standard formula of slope which is commonly referred to as "the rate of change" is -
(2) .....m= Y2 - Y1 / X2 - X1
in this case you can refer to the final and initial X and Y values directly from the small points on the line.
and so(3)..... - X1 = -6 X2 = 6
- Y2 = 9 Y1 = -1
the y intercept is defined as the value we get whenever X id zero. and X has a value of zero when a line crosses the y axis.
thus, X = 0 & Y = 4 ( 0 , 4 )
now lets substitute our values(3) into the slope formula (equation 2)
m = 9 - - 1 / 6 - - 1 = 10/7
now that we found the line's slope, let's simply plug the y intercept
into the slope intercept formula (1)
Y = 10/7X + 4
Answer:
Step-by-step explanation:
A. y < -12
