Answer: The required co-ordinates of he point K are (9.2, 7).
Step-by-step explanation: Given that the the endpoint of MP are M(2,1) and P(14,10) and the point K partitions MP in the ratio of MK : KP = 3 : 2.
We are to find the co-ordinates of point K.
We know that
the co-ordinates of a point that divides the line joining the points (a, b) and (c, d) in the ratio m : n are given by
For the given division, m : n = 3 : 2.
Therefore, the co-ordinates of the point K are
Thus, the required co-ordinates of the point K are (9.2, 7).
2(2,1)(14,10)
(4,2) - (14,10)= (-10, -8)
The coordinates of K are (-10, -8).
Answer:
Step-by-step explanation:
Answer:
4√10/5
Step-by-step explanation:
8/√10
=8/√10 ×√10/√10
=8√10/√10√10
=8√10/10
=4√10/5 (ans)
=2.53 (approximately)
Answer: 0.40 = x
Step-by-step explanation:
3x + 13 = 7x - 15
15 - 13 = 7x - 3x
2 = 5x
2/5 = x
0.40 = x
To divide 4 1/2 by 3/4, convert 4 1/2 to the improper fraction 9/2. Then, multiply it by the reciprocal of 3/4. The result is 6.
To divide a mixed number by a fraction, we first need to convert the mixed number to an improper fraction. In this case, 4 1/2 can be written as the improper fraction 9/2. Then, we can multiply the numerator of the first fraction (9/2) by the reciprocal of the second fraction (4/3).
So, 4 1/2 ÷ 3/4 = (9/2) × (4/3) = 36/6 = 6.
Therefore, 4 1/2 ÷ 3/4 equals 6.
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Using the combination formula, it is found that the students can be selected in 105 ways.
The order in which the students are selected is not important, hence the combination formula is used to solve this question.
The number of possible combinations of x elements from a set of n elements is given by:
In this problem, two students are selected from a set of 15, hence the number of different orders is given by:
More can be learned about the combination formula at brainly.com/question/25821700
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