If a line segment is partitioned having ending points (1,4),(7,1) in the ratio of 3:1 then the coordinates will be (25/4,7/4)
Given Ending points (1,4), (7,1) and the ratio 3:1 in which the line segment is divided.
If we are given the ratio m:n and the ending points of the line segment then the coordinates of the point dividing the segment will be (mx2+nx1/m+n,my2+ny1/m+n)
Putting the values of m=3 n=1 x1=1 y1=4 x2=7 and y2=1 we get
Coordinates (x,y)=(3*7+1*1/3+1,3*1+1*4/3+1)
=(21+1/4,3+4/4)
=(22/4,7/4)
Hence the point which is dividing the line segment having ending points (1,4) and (7,1) in the ratio 3:4 is (22/4,7/4).
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Answer:
6.42 %
Step-by-step explanation:
3412.23 = 2500(1+i)^5
i = 6.42%
X-246-c4779952vhjjj23467890865
Natural numbers are closed under division: false.
A set is closed under a certain operation if the results of that operation are always inside that set.
So, if natural numbers were closed under division, the division of two natural numbers would always be a natural number.
You have plenty of counterexamples, to pick one you may divide any odd number by 2: 5/2 is not a natural number.
Negative numbers are closed under addition: true.
Let 
be two positive numbers. So, 
are two negative numbers. Their sum is
And since 
is positive, we deduce that 
is negative, so the sum of two negative numbers is still negative.
Prime numbers are closed under subtraction: false.
This would mean that the subtraction of two primes is also a prime. Again, there are many counterexamples: 7 is prime and so is 3, but their difference 7-3 is 4, which is not prime.
Answer:
80 square units
Step-by-step explanation:
The area formula refers to a generic triangle ABC in which side lengths 'a' and 'b' are known and angle C is between those sides.
In the given figure, we have known side lengths of 12 and 14, and the angle between them is 72°.
Putting these numbers into the formula, we find the area to be ...
A = (1/2)(12)(14)sin(72°) ≈ 79.9 ≈ 80 . . . . square units
The area of the triangle is about 80 square units.
