If three points (5,1) , (1,-1) and (m,4) are collinear.Find m
1 answer:
Answer:
m = 11
Step-by-step explanation:
Since the points are collinear then the slope between points are equal.
Calculate the slope m using the slope formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (5, 1) and (x₂, y₂ ) = (1, - 1)
m = =
=
Repeat with
(x₁, y₁ ) = (1, - 1) and (x₂, y₂ ) = (m, 4)
m = =
=
Cross- multiply
m - 1 = 10 ( add 1 to both sides )
m = 11
You might be interested in
Answer: He read 40% of the total time.
Step-by-step explanation:
As per given,
Total time he spent = 2 +1+2 = 5 hours
Number of hours he spent on reading = 2 hours
The percent of the total time he read =
i.e. The percent of the total time he read = 40%
Hence, he read 40% of the total time.
Answer:
289 messages
equation:
graph: attached below
Step-by-step explanation:
We can write this in slope-intercept form, or . Since x is defined as the #of text messages, and 0.05 is the cost of a text message, 0.05 will be m. 45.5 is the base price, or the y-intercept, so it will be b.
Plugging in these numbers, we get
now we make y = 60, since that is the total amount they have
So, they can send 290 messages for 60, but they need the bill under 60, so 1 text message less will be 289, and that's enough.
