Given:
A line passes through the points (-1, -1) and (5,8).
To find:
Which points lie on the same line?
Solution:
If a line passes through two points, then the equation of the line is:

A line passes through the points (-1, -1) and (5,8). So, the equation of the line is:




Multiply both sides by 2.




So, the equation of the line is
.
Now, check each point for this equation.
Putting
, we get




Similarly,
For
.
For
.
For
.
For
.
For
.
Therefore, the points (-3,-4), (9,14), (1,2) and (3,5) lie on the same line but the points (4,7) and (-2,-2) are not on that line.
Answer:
1.17 feet
Step-by-step explanation:
28 ÷ 24 = 1.16666666667
round that and you get 1.17
Answer:
2m
Step-by-step explanation:
For m, I look for the greatest power of m that is in all of the expressions. Since the first has m^2, the second has m, and the third has m^4, the greatest power of m that is in all expressions is m.
For the number, I look for the greatest factor of 8, 4, and 10. A trick would be to look at the smallest number since the greatest common factor can only be less than or equal to the smallest number. So looking at 4, the factors are 1,2,4. 4 is not a common factor since it does not divide into 10, but 2 is so 2 is the greatest common numerical factor.
Combine 2 and m to get 2m.
Answer:
is the required equation.
The Per sq ft of sheet costs $ 27.31.
Step-by-step explanation:
The total amount of sheet purchased = 8.8 sq. ft
The amount of sheet used = 2. 1 sq ft.
The worth of remaining sheet = $183
Let us assume the cost per sq ft of sheet = $x
Now, the remaining sheet =
Amount of total sheet purchased- Amount of sheet used
= 8.8 sq. ft - 2. 1 sq ft. = 6. 7 sq. ft
So, the worth of the remaining sheet 6.7 sq ft is $183.
⇒ Worth of 1 sq ft of sheet = $183 /6.7 sq ft
or,
or x = $27.31
Hence, the Per sq ft of sheet costs $ 27.31.
Answer:
scalene triangle
Step-by-step explanation: