(3 3/4)÷(−2 1/2) IM IN A TIME CRUNCH PLEZZZ HALPPPP
2 answers:
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Answer:
The points (4,11), (6,14), (30,50) lie on the line joining the points (0,5) and (2,8).
Step-by-step explanation:
The equation of the line passing through two points and
is
So, the equation of the line passing through two points (0,5) and ( 2, 8 ) is
For the point (4,11), pout x=4 in equation (i), we have
, which is given y coordinate, hence this point (4,11) lies on the line.
For the point (5,10), pout x=5 in equation (i), we have
which is not the given y coordinate, hence the point (5,10) doesn't lie on the line.
For the point (6,14), pout x=6 in equation (i), we have
, which is the given y coordinate, hence the point (6,14) lies on the line.
For the point (30,50), pout x=30 in equation (i), we have
, which is the given y coordinate, hence the point (30,50) lies on the line.
For the point (40,60), pout x=40 in equation (i), we have
, which is not the given y coordinate, hence the point (40,60) doesn't lie on the line.
Hence, the points (4,11), (6,14), (30,50) lie on the line joining the points (0,5) and (2,8).
Answer:
The perimeter of the triangle is approximately equal to 18
Step-by-step explanation:
The coordinates of the vertices of the triangle are (-3, -1), (2, 3), and (5, 2)
The formula for the lengths, l, of the sides of the triangle, given their end points coordinates is presented as follows;
The lengths of the segments that make up the triangle are therefore;
Between the vertex points (-3, -1) and (2, 3), we have, √((-3 - 2)² + (-1 - 3)²) = √41
Between the vertex points (-3, -1) and (5, 2), we have, √((-3 - 5)² + (-1 - 2)²) = √73
Between the vertex points (2, 3) and (5, 2), we have, √((2 - 5)² + (3 - 2)²) = √10
Therefore;
The perimeter of the triangle = The sum of the lengths of the sides of the triangle = √41 + √73 + √10
The perimeter of the triangle = √41 + √73 + √10 ≈ 18.1094
∴ The perimeter of the triangle ≈ 18, after rounding to the nearest whole number.
