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:
,
,
.
Step-by-step explanation:
The magnitude is an absolute value by definition. Hence, each element has the respective value:

Answer:
$5
Step-by-step explanation:
We want to find the cost of a notepad considering a magazine costs $3 and we buy 2 notepads and the total cost of the magazine and the 2 notepads is $13 so we can set up an equation to represent this situation. Let 'n' be notepads and that's the value we are solving for so,
⇒ Form the equation
→ 2n + 3 = 13
⇒ Minus 3 from both sides to isolate 2n
→ 2n = 10
⇒ Divide both sides by 2 to find the cost of one notepad
→ n = 5
The cost of one notepad is $5 considering that a magazine cost's $3 and two notepads and total is $13.
Answer: The required probability is 
Step-by-step explanation:
Since we have given that
Number of people came into Brad's store = 48
Number of them made a purchase = 40
So, the experimental probability that the next person to come into the store will make a purchase would be

Hence, the required probability is 
Answer:
Step-by-step explanation:
we have to use the formula of slope here.
we know,
slope of the line passing through (x1,y1) and (x2,y2) is-

Here, the first two points are -
(-4 , 5) and (0,6)
So, the slope will be-

So, the slope is-
