All Questions ⁺⁰235535 Questions

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295

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Geometry

In regular octagon ABCDEFGH, M and N are midpoints of line BC and line FG respectively. Compute [ABMO]/[ABCDEFGH]. ([ABCD] denotes the area of polygon ABCD.)

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Guest Feb 5, 2022

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173

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Polynomial

Let be a polynomial with integer coefficients. Suppose there are four distinct integers p, q, r, s such that
f(p) = f(q) = f(r) = f(s) = 15
If t is an integer and f(t) > 15, what is the smallest possible value of f(t)?

Guest Feb 5, 2022

Feb 4, 2022

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282

1

Polynomials

If f(x) is a polynomial of degree 4 such that f(0) = f(1) = f(2) = f(3) = 1 and f(4) = 2, then determine f(5).

Guest Feb 4, 2022

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299

1

Geometry

WXYZ is a parallelogram where angle W is half of a right angle WX = 10, and XY = 18, What is the area of the parallelogram.

Guest Feb 4, 2022

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306

2

Geometry

In rectangle ABCD below, we have DP = PC and < BAC = 21 degrees. Find the number of degrees in < QDA + < PDC.

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Guest Feb 4, 2022

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306

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Geometry

In the diagram below, we have line AB is parallel to line CD, EF = FG, < BEF = 120 degrees + x degrees, and < AEG = x degrees. Find the value of x.

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Guest Feb 4, 2022

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279

1

trig question

Solve cos 2x = cos x for 0 <= x <= 2*pi.

Guest Feb 4, 2022

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285

1

Series

Evaluate the infinite geometric series: 2 + 1/8 + 1/128 + ...

Guest Feb 4, 2022

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297

1

Quadratic

If c is a constant such that 9x^2 + 12x + c is equal to the square of a binomial, then what is c?

Guest Feb 4, 2022

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279

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Percent problem

When the length of a rectangle is increased by 20% and the width increased by , by what percent is the area increased?

Guest Feb 4, 2022

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642

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help pls

For what positive integers c, with c<100, does the quadratic 3x^2+20x+c have rational roots?

Guest Feb 4, 2022

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177

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Algebra

Find polynomial f(n) such that for all integers n >= 1 we have
f(n) = 1^3 + 2^3 + 3^3 + ... + n^3

Write f(n) as a polynomial with terms in descending order of n read more ..

Guest Feb 4, 2022

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248

2

geometry :D

In triangle ABC, M is the midpoint of AB. Let D be the point on BC such that AD bisects BAC, and let the perpendicular bisector of AB intersect AD at E. If AB=44, AC=30, and ME=10, then find the area of triangle ACE

Guest Feb 4, 2022

+3

417

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+428

x intercepts of trig function

what is the 3 smallest positive x-intercept created by the graph y= cos(12x)+cos(16x) list them in radians from smallest to largest.

Dennis070sinneD Feb 4, 2022

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299

1

Quadratic

The equation y = -6t^2 + 51t describes the height (in feet) of a projectile launched from the surface of Mars at 51 feet per second. In how many seconds will the projectile first reach 100 feet in height?

Guest Feb 4, 2022

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239

1

Functions

If t(x) = 3 - g(x) and g(x) = x^2, then what is t(g(16))?

Guest Feb 4, 2022

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289

1

Counting problem

How many numbers can be expressed as the sum of two or more distinct elements of the set

Guest Feb 4, 2022

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180

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Help

What is the value of x+y+z when 6x + 5y - 2z = -4 and 4x + 5y + 12z = 54?

Guest Feb 4, 2022

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254

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Scientific Notation with 'Web2.0calc'

Hi ! Does someone know how to convert the results of this calculator into scientific notation ?

Guest Feb 4, 2022

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200

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system

x^2 + y^2 + z^2 = 18
xy + xz + yz = -7

Let x, y, and z be integers satisfying the system of equations above. Find xyz. read more ..

Guest Feb 4, 2022

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316

3

Number Theory

When General Han counts the soldiers in his army, he uses the following method. He orders them to line up in rows of 9, then in row of 10, and finally, in rows of 11, and each time he counts the number of soldiers not in a row. One morning, he finds that read more ..

Guest Feb 4, 2022

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324

1

+108

Integer

What is the sum of three consecutive even integers if the sum of the first and second numbers is six less than two times the third number?

KourageKowardlyDog Feb 4, 2022

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326

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+129

Math

The ratio of adult tickets to student tickets for the school play was three to five. If the sum of the adult tickets and one half of the student tickets is 176, how many adult tickets were sold?

Soyoxxommm Feb 4, 2022

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