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Hi bobbym,
The solution to 2528 is perfect. Good work!
The solution to 2529, as per my calculation is,
.#2530. Find the value of
.It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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Hi ganesh;
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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Hi bobbym,
The solution to 2530 is correct. Excellent!
#2531. Show that (-2,1), (1,2), (4,3) are collinear.
#2532. Show that the straight lines 2x - 5y = 0 and 6x - 15y = 4 are parallel.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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Hi ganesh;
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
Hi bobbym,
The solutions 2531 and 2532 are perfect. Good work!
#2533. Using the formula sin(A - B) = sinAcosB - cosAsinB, find sin 15[sup]o[/sup].
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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Hi;
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
Hi bobbym,
The solution to 2533 is perfect. Excellent!
#2534. 3 coins tossed together. Find the probability that at least 2 heads appear.
#2535. Standard Deviation of 7 values is 15. If each value is decreased by 8, find the SD of new set of values.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
Offline
Hi ganesh;
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
Hi bobbym,
The solutions to 2534 and 2535 are perfect. Good work!
#2536. Solve:
when .#2537. If angle A is equal to 30 degrees, verify sin 2A = 2 sin A cos A.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
Offline
Hi;
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
Hi bobbym,
The solutions to 2536 and 2537 are correct. Brilliant!
#2538. Given angle A = 60 degrees, angle B = 30 degrees, Prove that
sin (A + B) = sinA cosB + cosA sinB.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
Offline
Hi ganesh;
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
Hi bobbym,
The solution to 2538 is perfect. Well done!
#2539. Obtain the co-ordinates of the point of intersection of the lines 2x - y + 5 = 0
and x + y + 1 = 0.
#2540. Where does the line x - 3y + 7 = 0 meets X-axis?
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
Offline
Hi;
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
Hi bobbym,
The solutions to 2539 and 2540 are perfect. Keep it up!
#2541. If the points (4,1), (-2,-3), and (x,-5) are collinear, find x.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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Ans to 2541: -5
I come from a civilization which has given the world the number 0..
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Hi ganesh;
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
Hi Howardroark and bobbym,
The solution to 2541 is perfect. Good work!
#2542. Find the area of the triangle POQ given P(3,4), Q(7,8), O is the origin.
#2543. Find p if the slope of line joining (-5,15) and (4,p) is -1/9.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
Offline
Hi ganesh;
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
Hi bobbym,
The solutions to 2542 and 2543 are perfect. Brilliant!
#2544. If lines 2x - by + 5 = 0 and ax + 3y = 2 are parallel, find the relation connecting a and b.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
Offline
Hi ganesh;
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
Hi bobbym,
The solution to 2544 is perfect. Good work!
#2545. Find the equation of the line given that it passes through the point (-3,-4) and parallel to X-axis.
#2546. Prove:
.It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
Offline
Hi ganesh;
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
Hi bobbym,
The solutions to 2545 and 2546 are correct. Good work!
#2547. Two dice are thrown. What is the probability of getting multiple of 3 in the first die or a total of 6?
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
Offline
Hi ganesh;
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline