All Questions

785

help please

Find constants A and B such that

(x+7)/(x^2 - x - 2) = [A/(x-2)]+[B/(x+1)]

for all x such that x ≠ -1 and x ≠ 2. Give your answer as the ordered pair (A, B). read more ..

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grnolives Dec 26, 2019

969

help

What is the angle colored purple in degrees?

hectictar ●●●

Guest Dec 26, 2019

836

+394

Competition Math

Let be a positive integer. If the equation has solutions in positive integers and , then must be either

(A) 14 or 15 read more ..

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hellospeedmind Dec 26, 2019

651

help

If 2a + 3b = c, a + b + c = 42, c - a = 19, find (c + 1)/(ab).

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Guest Dec 26, 2019

488

help

Solve (1 + 3 + 5 + ... + (2n - 1))/(2 + 4 + 6 + ... + 2n) = 2017/2018.

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Guest Dec 26, 2019

455

help

A square of side 112 is partitioned in 21 squares of different sizes. Each number (shown in the figure) denotes the side length of its square. Find the side lengths of the smallest, 2nd smallest and 3rd smallest squares.
read more ..

Guest Dec 26, 2019

714

help

In the trapezium ABCD where AB is parallel to CD, AB is 3 units longer than CD, BC = 5, and AD is perpendicular to AB. Given that the area of the trapezium is 34, find the perimeter read more ..

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Guest Dec 26, 2019

536

help

Find all real values of x that satisfy . Give your answer in interval notation.

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Guest Dec 26, 2019

Dec 25, 2019

713

help

ABC has a right angle at B. AC = 60, AE = 52 and CD = 39. Find the length of DE.

read more ..

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Guest Dec 25, 2019

836

geometry

Which is larger: the yellow area or the blue area?

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Guest Dec 25, 2019

717

help

If sin(x)*tan(x) = 1, find cos(x).

ElectricPavlov ●

Guest Dec 25, 2019

2509

17 times what equals 100

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Guest Dec 25, 2019

502

help

Compute

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Guest Dec 25, 2019

-1

1007

HELP PLZ

Lucy was born on Wednesday, December 1st, 2004. That Wednesday was the first day of her life. Her parents held a party for her on the th day of her life. On which day of the week was the party?

read more ..

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Guest Dec 25, 2019

1348

+24

Please help (a lot of questions) :) thank you

1. The quadratic $x^2 + 5x + c$ has roots in the form of $x = \frac{-5 \pm \sqrt{c}}{2}$. What is the value of $c$?

2. The quadratic $x^2+440x+440^2$ can be written in the form $(x+b)^2+c$, where $b$ and $c$ are constants. read more ..

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Elen8 Dec 25, 2019

832

help

Circle A and circle B are concentric. A chord of circle A that is tangent to circle B has a length that is twice the radius of circle B. What is the ratio of the area of circle A to the area circle B?

read more ..

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Guest Dec 25, 2019

743

+16

Prove that if $w,z$ are complex numbers such that $|w|=|z|=1$ and $wz\ne -1$, then $\frac{w+z}{1+wz}$ is a real number.

Prove that if are complex numbers such that and , then is a real number.

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Thecarl69 Dec 25, 2019

-1

756

help

If two numbers have arithmetic mean 2700 and harmonic mean 75, then find their geometric mean.

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Guest Dec 25, 2019

854

help

Solve x(y + z) = 39, y(x + z) = 60, z(x + y) = 63.

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Guest Dec 25, 2019

1087

help

A frog is at the bottom of the well which is 20 meters deep. Everyday the frog jumps 5 meters upwards and fall 4 meters down.On which day the frog will reach the top?

Omi67 ●●●●

Guest Dec 25, 2019

777

help

Compute arctan(1) + arctan(2) + arctan(3).

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Guest Dec 25, 2019

755

help

Let n be a positive integer.
(a) Prove that
by counting the number of ordered triples (a,b,c) where in two different ways.
(b) Prove that
by counting the number of subsets of containing three different numbers in read more ..

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Guest Dec 25, 2019

4690

Calc

Let f and g be differentiable functions with the following properties:
(i) g(x) > 0 for all x
(ii) f(0) = 1 If h(x) = f(x)g(x) and h'(x)=f(x)g'(x), then f(x) = ?:
A) f'(x)
B) g(x) <#> C) ex <#> D) 0 <#> E) 1 <#> My guess is E, since ii implies read more ..

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Guest Dec 25, 2019

987

+1490

Folded rectangle

The rectangle with the area of 12 cm2 has a specific ratio a : b. When folded in half along the longer sides, a new, smaller rectangle, has the same ratio as the original one. Find the sides a and b, and the sides of a new rectangle read more ..

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Dragan Dec 25, 2019

All Questions ⁺⁰237722 Questions

help please

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Competition Math

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help

help

help

help

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geometry

help

17 times what equals 100

help

HELP PLZ

Please help (a lot of questions) :) thank you

help

Prove that if $w,z$ are complex numbers such that $|w|=|z|=1$ and $wz\ne -1$, then $\frac{w+z}{1+wz}$ is a real number.

help

help

help

help

help

Calc

Folded rectangle

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