Answer:
44x +56y = 95
Step-by-step explanation:
To write the equation of the perpendicular bisector, we need to know the midpoint and we need to know the differences of the coordinates.
The midpoint is the average of the coordinate values:
((-2.5, -2) +(3, 5))/2 = (0.5, 3)/2 = (0.25, 1.5) = (h, k)
The differences of the coordinates are ...
(3, 5) -(-2.5, -2) = (3 -(-2.5), 5 -(-2)) = (5.5, 7) = (Δx, Δy)
Then the perpendicular bisector equation can be written ...
Δx(x -h) +Δy(y -k) = 0
5.5(x -0.25) +7(y -1.5) = 0
5.5x -1.375 +7y -10.5 = 0
Multiplying by 8 and subtracting the constant, we get ...
44x +56y = 95 . . . . equation of the perpendicular bisector
Answer:
Number of dimes = 16
Number of quarters = 17
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Work Shown:
d = number of dimes
q = number of quarters
d+q = 33 coins total, this solves to d = 33-q
10d = value of all the dimes in cents
25q = value of all the quarters in cents
10d+25q = 585 cents total
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Plug in d = 33-q and solve for q
10d+25q = 585
10(33-q) + 25q = 585
330-10q+25q = 585
15q+330 = 585
15q = 585-330
15q = 255
q = 255/15
q = 17
The man has 17 quarters
d = 33-q = 33-17 = 16
He also has 16 dimes.
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Check:
16 dimes + 17 quarters = 33 coins total
16 dimes = 16*10 = 160 cents
17 quarters = 17*25 = 425 cents
160 cents + 425 cents = 585 cents
The answer is confirmed.
Answer:
9y
Step-by-step explanation:
Add 7y and 5y which equals 12y. Then subtract 3y from 12y and u get 9y. It might be wrong
Answer:
16
Step-by-step explanation:
Answer:
TR = 23
Step-by-step explanation:
first we have to find TS, so we subtract 16 from 4 to get 12. then we can add 12 and 11 to get TR
