All Questions ⁺⁰236340 Questions

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271

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Algebra

If x + 2y = 4 and xy = 18, what is the value of x^2 + 4y^2?

Guest Apr 12, 2022

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265

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trig

In right triangle DEF, we have angle D = 25 degrees, anlge E = 90 degrees, and EF = 19 . Find DE to the nearest tenth. You may use a calculator for this problem.

Guest Apr 12, 2022

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276

2

Algebra

Given that x = -5 is a root to the quadratic 2x^2 + px - 15 = 0, and the quadratic equation p(x^2 + x) + k = 0 has equal roots, find k.

Guest Apr 12, 2022

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256

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Counting

Our club has 25 members, and wishes to pick a president, secretary, and treasurer. In how many ways can we choose the officers, if individual members are allowed to hold 2 or more offices?

Guest Apr 12, 2022

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308

1

math question

Edgar takes a piece of plywood that is 77 centimeters long and uses a table saw to make an 85-centimeter cut from corner to opposite corner. What was the width of the piece of plywood?

Guest Apr 12, 2022

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301

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Proving Lines that are Parallel or Perpendicular

Hello! I'm struggling to prove this problem. Can someone please help me how to solve it?

Guest Apr 12, 2022

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317

2

just need help

Suppose $\frac ab = \frac35$,$\frac bc=\frac{15}{2}$, and $\frac cd = 8$. What is the value of $\frac ad$? Express your answer in simplest form.

Guest Apr 12, 2022

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270

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Coordinates

The equation of the line passing through (1,11) and (-4,5) can be expressed in the form x/a + y/b = 1. Find a.

Guest Apr 12, 2022

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290

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math problem

What is the value of $\frac{x^1\cdot x^2\cdot x^3\cdots x^{10}}{x^2\cdot x^4 \cdot x^6 \cdots x^{20}}$ if x = 2?

Guest Apr 12, 2022

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301

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Parabols

The parabolas defined by the equations y = x^2 + 4x + 6 and y = 2x^2 + 7x - 4 intersect at points and (a,b) and (c,d), where c >= a. What is c-a?

Guest Apr 12, 2022

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264

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Polynomials

Suppose the polynomial f(x) is of degree 3 and satisfies f(3) = 2, f(4) = 4, f(5) = -2, and f(6) = 8. Determine the value of f(0).

Guest Apr 12, 2022

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299

2

What is the perimeter of this trapezoid

What is the perimeter of the trapezoid shown?
read more ..

Guest Apr 12, 2022

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294

1

Please help

In the figure below, is a parallelogram, and read more ..

Guest Apr 12, 2022

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272

1

Algebra

If g(x) = (x + 3)/4, for what value of x will g(2x) = 2(g(x)) ? Express your answer in simplest form.

Guest Apr 12, 2022

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282

1

Divisible

How many four digit numbers are divisible by all of the following: 2, 3, 5, 7, and 19?

Guest Apr 12, 2022

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319

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Complex number

Suppose that a and b are positive integers such that (a-bi)^2 = 8 - 6i + 13 - 4i. What is a-bi?

justchillin ●●

Guest Apr 12, 2022

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273

1

Counting problem

Two boys and three girls are going to sit around a table with 5 different chairs. If the two boys want to sit next to Jill, in how many possible ways can they be seated?

Guest Apr 12, 2022

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162

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Number Theory

2k is a perfect square, 3k is a perfect cube, and 5k is a perfect 4th power. What is the sum of the exponents in the prime factorization of the smallest such positive integer k ?

Guest Apr 12, 2022

Apr 11, 2022

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298

2

is this even possible

xyz - 2x - 2y - 2z = 0
find the sum of all possible values of z
x is less than or equal to y which is less than or equal to z
x, y, z are all positive integers read more ..

geno3141 ●●

Guest Apr 11, 2022

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531

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tricky 3d - geometry prob!

In a certain regular square pyramid, all of the edges have length $12$. Find the volume of the pyramid.

Guest Apr 11, 2022

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183

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Polynomial

There is a unique polynomial P(x) of degree 4 with rational coefficients and leading coefficient 1 which has sqrt(2) + sqrt(15) as a root. What is P(1)?

Guest Apr 11, 2022

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273

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Sequence

The first three terms of an arithmetic sequence are 1, 10 and 19, respectively. What is the value of the 27th term?

Guest Apr 11, 2022

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173

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Function

Let
f(x) = k(x) if x >= 1
f(x) = 2- x if x < 1
read more ..

Guest Apr 11, 2022

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212

1

transformations

A dilation with scale factor -3 maps to X and X prime and Y to Y prime. Given XprimeYprime = 2, find XY

Guest Apr 11, 2022

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