Which statement proves that the diagonals of square PQRS are perpendicular bisectors of each other? The length of SP, PQ, RQ, an
2 answers:
Answer:
Step-by-step explanation:
Given is a square PQRS. Its diagonals are PR and QS.
To prove that PR is perpendicular to QS
We have been given as
SP = PQ =RQ =SR =5.
Using Pythagorean theorem we have
both diagonals will equal
If P is the origin, (say) then coordinates of vertices would be (0,0) (5,0) (5,5) and (0,5)
Mid point would be (2.5,2.5) for both
Slope of RP = change in y coordinate/change in x coordinate
= 1
Slope of QS = 5/-5 = -1
Product of the two slopes = -1
Hence the two diagonals are perpendicular
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To find:
The y-intercept of the parabola.
Solution:
We have,
Putting in the given equation, we get
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So, we know both faucets open, can do the whole job in 6minutes
ok, how much has the faster cold water faucet done in 1minute then?
well, let's say the the rate of speed of the cold water faucet is "c", so in 1minute it has done 1/c of the whole work
now, we know the hot water faucet is slower, it takes it 3 times as long, that means is 1/3 the speed of the cold water faucet, so, how much does the hot water faucet do in 1min? well, we know is 1/3 fast as the cold one, the cold one is 1/c, what's 1/3 of 1/c? well, 1/3 * 1/c
now, we know they both added together, can do the whole job in 6 minutes, so in 1minute, they've done 1/6 of the job then
thus
ok, how much has the faster cold water faucet done in 1minute then?
well, let's say the the rate of speed of the cold water faucet is "c", so in 1minute it has done 1/c of the whole work
now, we know the hot water faucet is slower, it takes it 3 times as long, that means is 1/3 the speed of the cold water faucet, so, how much does the hot water faucet do in 1min? well, we know is 1/3 fast as the cold one, the cold one is 1/c, what's 1/3 of 1/c? well, 1/3 * 1/c
now, we know they both added together, can do the whole job in 6 minutes, so in 1minute, they've done 1/6 of the job then
thus