Answer:
k = 11
Step-by-step explanation:
Given the points are collinear then the slopes between consecutive points are equal.
Using the slope formula
m = 
with (x₁, y₁ ) = (5, 1) and (x₂, y₂ ) = (1, - 1)
m =
=
= 
Repeat with another 2 points and equate to 
with (x₁, y₁ ) = (1, - 1) and (x₂, y₂ ) = (k, 4)
m =
, then
=
( cross- multiply )
k - 1 = 10 ( add 1 to both sides )
k = 11
Answer: x = -1, -3
Step-by-step explanation:
Answer:
Domain is your x max and Min, Range is your y max and Min
Step-by-step explanation:
Domain would be -5 to 8 or (-5,8)
range would be -3 to 2 or (-3,2)
Answer:
2x
Step-by-step explanation:
x*1 is x
x/1 is also x
x+x=2x
L*w=20, so l=20/w
l=2w+3
20/w=2w+3
20=2w^2+3w
2w^2+3w-20=0
Slip and slide
w^2+3w-40
(w+8)(w-5)
(w+8/2)(w-5/2)
(w+4)(2w-5)
w= -4 or 5/2, but since width must be positive, it is 5/2
(5/2)*l=20
l=8
Final answer: Length= 8, Width= 5/2