All Questions ⁺⁰237784 Questions

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134

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counting

In how many ways can three pairs of siblings from different families be seated in two rows of three chairs, if siblings may sit next to each other in the same row, but no child may sit directly in front of their sibling?

Guest Mar 15, 2023

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130

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Coordinates

Points A, B, and C are given in the coordinate plane. There exists a point Q and a constant k such that for any point P,
PA^2 + PB^2 + PC^2 = 3PQ^2 + k
If A = , B = , and C = , then find the constant k.

Guest Mar 15, 2023

+1

113

4

+187

Tangent circles and parabolas

A circle of radius r is tangent to the graph of y=x^2 at two points. Another circle of the same radius is tangent to the graph of y=x^2 and to the x-axis. The two circles and the parabola all share the same point of tangency. Find r. read more ..

idontknowhowtodivide Mar 15, 2023

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169

3

+6

Equal Polynomials

Not exactly sure what to do here with so many possibliities. I've found random one off cases, but no patterns emerge. Help Please!

jackchan Mar 15, 2023

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153

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counting

Miyu is giving out 9 identical chocolates to her 7 friends, including Dhruv. All possible distributions are equally likely. What is the probability that Dhruv gets exactly 2 chocolates?

Guest Mar 15, 2023

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156

0

2x + y = 1

2x + y = 1
2x2 - 3xy + 4 = 0

Guest Mar 15, 2023

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145

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math

find the central angle of the spherical wedge if its radius is 7m and volume is 650 square meter.

Guest Mar 15, 2023

+1

169

2

Algebra

Let a and b be real numbers such that a - b = 1 and a^3 - b^3 = 1
(a) Find all possible values of ab
(b) Find all possible values of a+b
(c) Find all possible values of a and b

Guest Mar 15, 2023

0

154

3

+4

Interesting Trig Problem

So, this is a trig problem but the catch is you cant use the double angle theorem to solve. the question is, simplify in terms of v: sin(2arcsin[v]) i tried a geometric approach, but it doesnt help much. any help is appreciated!

Anantadasa Mar 15, 2023

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