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Hi;
The solution 514 is correct. Excellent, bobbym!
515. If
are the zeroes of the polynomial , form a quadratic polynomial whose zeroes are andIt 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.
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Hi;
The solution 515 is correct. Excellent, bobbym!
516. The zeroes of the polynomial
are in Arithmetic Progression. Find them.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.
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Hi;
The solution 516 is correct. Excellent, bobbym!
517. (a) The sum of the seven terms of an Arithmetic Progression is 182. If its 4th term and the 17th term are in the ratio 1:5, find the Arithmetic Progression (first four terms).
#517. (b) Find the sum of all natural numbers between 500 and 1000 which are divisible by 13.
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.
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Hi;
The solution 517 (b) is correct. Neat work, bobbym!
518. If (-2,1) is the centroid of a triangle, two of whose vertices are (1,-6) and (-5,2), find the area of the triangle.
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.
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Hi;
The solution 518 is correct. Excellent, bobbym!
519. Find the value of 'a' for which the area of the triangle formed by the points A(a,2a), B(-2,6), and C(3,1) is 10 square units.
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.
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Hi;
The two solutions in 519 are correct. Excellent, bobbym!
520. Find the coordinates of the end points A and B of the segment whose points of trisection are M(2,-1) and N(3,1).
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.
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Hi;
The solution in 520 is correct. Excellent, bobbym!
521. The centroid of a triangle ABC is (2,7). The points B and C lie on x and y-axis respectively. The coordinates of the point A are (4,8). Find the coordinates of the point B and C.
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.
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Hi;
The solution (two values) in 521 are correct. Excellent, bobbym!
522. If (-5) is a root of the quadratic equation
and the quadratic equation has equal roots, then find the value of p and k.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;
The solution 522 (two parts) is correct. Excellent, bobbym!
523. Solve:
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;
The solution 523 is correct. Excellent, bobbym!
524. A train travels 180 km at uniform speed. If the speed had been 9 km/hour more, it would have taken 1 hour less for the same journey. Find the speed of the train.
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.
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Hi;
The solution 524 is correct. Excellent, bobbym!
525. A bag contains 19 balls bearing numbers 1, 2, 3, ..., 19 respectively. A ball is drawn at random from the box. Find the probability that the number on the ball is
(a) a prime number
(b) divisible by 3 or 5
(c) neither divisible by 5 nor by 10
(d) an even number.
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;
The solution 525 (four parts) are correct. Excellent, bobbym!
526. A box contains cards bearing numbers from 6 to 70. If one card is drawn at random from the box, find the probability that it bears:
(a) a one digit number
(b) a number divisible by 5
(c) an odd number less than 30
(d) a composite number.
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;
The solution 526 (four parts) are correct. Excellent, bobbym!
527. The sum of the first sixteen terms of an Arithmetic Progression is 112 and the sum of the next fourteen terms is 518. Find the Arithmetic Progression. (first four terms).
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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