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The midpoint of the given line in coordinate form (x, y) is -0.5, 0)
<h3>Midpoint of a line</h3>
The midpoint of a line is the middle of the given line. Given the coordinate points (x1, y1) and (x2, y2), the midpoint of the line is given as:
M(x, y) = {x1+x2/2, y1+y2/2}
Given the coordinate points on the line (-2, 1) and (1, -1)
Substitute the given coordinate points into the formula to have:
M(x, y) = {-2+ 1/2, 1-1/2}
M(x, y) = {-1/2, 0/2}
M(x, y) =(-0.5, 0)
Hence the midpoint of the given line in coordinate form (x, y) is (-0.5, 0)
Learn more on midpoint here: brainly.com/question/5566419
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Answer:
Total money they had at first $252.
Step-by-step explanation:
Let,
x be the amount Silas had originally
y be the amount Raja had originally
According to given statement;
x = 3y Eqn 1
x - 84 = y + 42 Eqn 2
Putting x=3y in Eqn 2
3y - 84 = y + 42
3y - y = 42 + 84
2y = 126
Dividing both sides by 2
Putting y = 63 in Eqn 1
x = 3(63)
x = 189
Total money they originally had = 189 + 63 = $252
Hence,
Total money they had at first $252.
The sample space of Shari's tree diagram is the total possible outcomes of rolling the game piece and spinning the pointer.
It doesn't matter if Shari starts with the spinner or the game piece
<h3>How to determine the tree diagram</h3>
The experiment involves:
- Rolling a 12-sided game piece
- Spinning the pointer of a 4-section spinner
If Shari starts with the game piece, the sample size (n) would be:
n = 12 * 4
n = 48
If Shari starts with the spinner, the sample size (n) would be:
n = 4 * 12
n = 48
Notice that the sample size remains unchanged irrespective of what he starts with
Hence, it doesn't matter if Shari starts with the spinner or the game piece
Read more about tree diagram at:
brainly.com/question/2581880
Answer:
w=12 or w=2
Step-by-step explanation:
2w^2-16w=12w-48
2w^2-28w=-48
2w^2-28w+48=0
2(w^2-14w+24)=0
2(w-12)(w-2)=0
(w-12)(w-2)=0
w=12 or w=2
