Answer:
z = 3
Step-by-step explanation:
Since the points are collinear then the slopes between the points are equal.
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = P (2, - 3) and (x₂, y₂ ) = Q (3, - 2)
m = 
= 1
Repeat with
(x₁, y₁ ) = Q (3, - 2) and (x₂, y₂ ) = R (8, z )
m = 
= 
, then
= 1 ( multiply both sides by 5 )
z + 2 = 5 ( subtract 2 from both sides )
z = 3
Answer:
$5,875
Step-by-step explanation:
Interest = Principal x Time x Interest Rate
Interest = $5000 x 3.5 x 0.05
Interest = $875
Total Balance will be
$5000 + $875
= $5,875
in 3.5 years
Let us say ,
x=number of students who passed
y=number of students who failed
total number of students =276
x+y=276..................(1)
We are given 5 times the number of students passed as failed.
x=5y.............(2)
plugging value of x from (2) in (1),
5y+y=276
6y=276
y=46
x=5y=46*5=230
x=number of students who passed=230
thanks so much for the points
