All Questions +0 230542 Questions

Let g(n,k) be the number of partitions of n into exactly k parts, in which no part is a 1. Show that

Guest Nov 18, 2019

415

help please

Find the polynomial with real coefficients, such that
for all real numbers

Guest Nov 18, 2019

765

+143

Polynomial Forms

Let A(-8,4) and B(6,6). Point C(0,k) is such that the circumcircle of triangle ABC has equation x^2 + y^2 + 2x - 10y - 24 = 0. Find all possible values of k.

AoPS.Morrisville Nov 18, 2019

473

help

Let be a nonreal complex number. Find the smallest possible value of
read more ..

Guest Nov 18, 2019

786

+143

Complex #'s

II know what a discriminant is; from using it, I got -40. How will this help me determine the translation?

AoPS.Morrisville Nov 18, 2019

731

Using the discriminant to determine the translation?

0 lines cuts the plane into at most 1 region.
1 line cuts the plane into at most 2 regions.
2 lines cut the plane into at most 4 regions.
What is the most number of regions that 9 lines can cut the plane into?

Guest Nov 18, 2019

493

regions

Let be complex numbers such that and
Find the largest possible value of .

Guest Nov 18, 2019

729

+143

Complex #'s

I forgot my compass at school for the weekend, and there was this big math assignment that required the compass.

I panicked, but calmed down. I thought about how I would complete my homework, then got a very interestin idea: read more ..

AoPS.Morrisville Nov 18, 2019

Nov 17, 2019

983

+2862

My Beautiful Compass

off-topic

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CalculatorUser Nov 17, 2019

528

number theory

The number m is a three-digit positive integer and is the product of the three disitinct prime factors x, y, and 10x + y, where x and y are each less than 10. What is the largest possible value of m?

1. How many paths of minimum length are there from a to b in the grid below?

Guest Nov 17, 2019

886

+220

idk how to do these problems

The planets in our solar system do not travel in circular paths. Rather, their orbits are elliptical. The Sun is located at a focus of the ellipse.
The perihelion is the point in a planet’s orbit that is closest to the Sun. So, it is the endpoint of read more ..

Oofrence Nov 17, 2019

1773

help please

U and V are points on line RS and Line RT respectively. Line SU and line TV intersect at W. Under which of the following conditions can we conclude the triangle RUS is congruent to triangle RVT?

A) RS=RT and SU=TV read more ..

Guest Nov 17, 2019

428

Help on this contest question please

School calculators are sold by one company only in packages of 11 and packages of 15. What is the largest number of calculators it is not possible to purchase without opening a package?

Guest Nov 17, 2019

974

Pls help! Thank you!

Just curious, as on AoPS, if you don't know the answer to a problem, they often tell you to come here...

How many of you are from AoPS and want help in courses? read more ..

Guest Nov 17, 2019

1050

+1712

Just curious-

off-topic

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tommarvoloriddle Nov 17, 2019

562

help

AB = 15, BC = 18, AC = 25, D is midpoint of BC, G is centroid. Find DG.

Altitudes $\overline{AD}$ and $\overline{BE}$ of $\triangle ABC$ intersect at $H$. If $\angle BAC = 54^\circ$ and $\angle ABC = 52^\circ$, then what is $\angle AHB$?

Guest Nov 17, 2019

616

altitudes of triangles

Hi! I really need help with the following please:

The planets in our solar system do not travel in circular paths. Rather, their orbits are elliptical. The Sun is located at a focus of the ellipse.

The perihelion is the read more ..

Guest Nov 17, 2019

2691

CPhill and Melody, I really need your help please!

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Guest Nov 17, 2019

387

help

Four distinct digits are used to make two 2-digit numbers. What is the greatest possible product of the two numbers formed?

Four fair dice are rolled. What is the probability of a 2-2 split? (For example, rolling 5, 3, 5, 3 is a 2-2 split, and a 1, 4, 1, 1 is a 3-1 split.)

Guest Nov 17, 2019

675

help

G is the centroid of triangle ABC. G1,G2, and G3 are the centroids of triangle BCG, triangle CAG, and triangle ABG, respectively. what is read more ..

Guest Nov 17, 2019

-3

848

+614

please help me asap

The perimeter of a sector of a circle is the sum of the two sides formed by the radii and the length of the included arc. A sector of a particular circle has aperimeter of 28 cm and an area of 49 sq cm. What is the length of the arc of this sector? read more ..

xxJenny1213xx Nov 17, 2019

536

help

In the diagram below, D is the midpoint of the base of isosceles triangle ABC. Points G1 and G2 are the centroids of triangle read more ..

Guest Nov 17, 2019

593

help

G is the cenetroid of triangle ABC and D and E are the midpoints of line AB and line AC, repectively. Line AG and line DE intersect at M. read more ..

Guest Nov 17, 2019

485

please help very much appreciated.

1. G is the centroid of equilateral Triangle ABC. D,E, and F are midpointsof the sides as shown. P,Q, and R are the midpoints of line AG,line BG and line CG, respectively. If AB= sqrt 3, what is the perimeter of DREPFQ?
read more ..

Guest Nov 17, 2019

-3

1627

+614

help please asap