A man (M) is standing on the bank of a river that is 0.9 miles wide. He wants to reach a house (B) on the opposite shore that is
1 answer:
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Answer:
Find the slopes; 123 servings
Step-by-step explanation:
When you look at the graph and table, find out which ones have a slope of 1/2
To find slope you have to use this equation
So for each graph and table, calculate the slope using that formula :)
For the second question,
For every 10 students, the amount of juice dispensed was
7*4 + 3*8 = 52
So divide 52 by 10 to get 5.2
Then divide the total amount of juice (640) by 5.2 and that rounds to about 123 servings of juice
Answer:
12x +8y +1 = 0
Step-by-step explanation:
You can write the equation by swapping the x- and y-coefficients and negating one of them. Then compute the constant that makes the line go through the given point. You can do that like this:
3(x-(-3/4)) +2(y -1) = 0
3x +9/4 +2y -2 = 0 . . . . eliminate parentheses
3x +2y +1/4 = 0 . . . . . . . simplify
To eliminate the fraction, multiply by 4:
12x +8y +1 = 0
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<em>Comment on the equation</em>
The line ax+by=0 passes through the origin. Replacing x and y with x-h and y-k, respectively, makes the line pass through the point (h, k). That's what we did above to make the line pass through the given point.
The business of swapping coefficients and negating one causes the slope of the new line to be the negative reciprocal of the slope of the original line. That is what makes the new line perpendicular to the original.
