The coordinates of point P are: (1/5 , -12/5)
Step-by-step explanation:
Here
R(-3,-4) = (x1,y1)
S(5,0) = (x2,y2)
The ratio is: 2:3
The coordinates of a point that divides the line in ratio m:n are given by:
Let P be the point then
Putting values
Hence,
The coordinates of point P are: (1/5 , -12/5)
Keywords: Coordinate geometry
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Answer:
54 minutes
Step-by-step explanation:
We can write a proportion to solve this problem. Put the number of pages over the minutes
27 pages 324 pages
-------------- = ---------------
4.5 minutes x minutes
Using cross products
27 * x = 324 * 4.5
27x = 1458
Divide each side by 27
27x/27 = 1458/27
x =54
Answer:
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She invested.. .say "a" amount on the 4% and "b" amount on the 5% one
now, she lost the 4% one or "a", so... that'd be a negative amount
now, we know both investments added together add up to 9000
and we also know the "net" receipts for the yield was 351, that simply means that whatever "b" and "a" yielded, ended up as 351
so.. what's 4% of a? well (4/100) * a or 0.04a
what's 5% of b? well (5/100) * b or 0.05b
since "a" was a loss(negative), then we know the net yield is => b - a = 351
thus
solve for "b", to see how much was invested at 5%
what about a? well, a = 9000 - b
$11.50 total - $1.50 fruit cup = $10.00 for two pancakes
$10.00 / 2 pancakes = $5.00 for each pancake