All Questions ⁺⁰237642 Questions

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177

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Binomials

(a) Simplify (n/k)/(n/(k - 1))

(b) For some positive integer n, the expansion of (1 + x)^n has three consecutive coefficients a, b, c that satisfy 1:8:28. What must n be?

Guest Dec 30, 2022

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230

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help geometry

Let ABC be a triangle, and let its angle bisectors be AD, BE, and CF, which intersect at I. If DI = 3, BD = 4, and BI = 8, then find the area of triangle ABC.

Guest Dec 30, 2022

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164

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Algebra

Fill in the blanks to make the equation true. (Each blank should contain a 2-digit number)

18/18 + 19/18 + 20/18 + ... + 45/18
read more ..

Guest Dec 30, 2022

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218

1

help algebra

Find all real numbers x such that
(3^x - 27)^3 + (27x - 3)^3 = 3x + 27x - 30.

Guest Dec 30, 2022

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226

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geometry

In triangle PQR, let M be the midpoint of QR, let N be the midpoint of PR, and let O be the intersection of QN and RM, as shown. If QN perp PR, QN = 12, and PR = 14, then find the area of triangle PQR.

Guest Dec 30, 2022

+21

218

4

+1307

Boost please?

The first digit of a string of 2002 digits is a 1. Any two-digit number formed by consecutive digits within this string is divisible by 19 or 31. What is the largest possible last digit in this string?

dolphinia Dec 30, 2022

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221

4

Quadratic

What is the largest number c such that 2x^2 + 5x + c = x^2 - 4x has at least one real solution? Express your answer as a common fraction.

Guest Dec 30, 2022

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210

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Algebra question

Find the sum of the square roots of the roots of x^2 - 25x + 80 = x^2 - 16x + 44.

Guest Dec 30, 2022

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191

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help with quadratic

How many non-congruent right triangles are there, all of whose sides are poisitve integer lengths, and one of whsoe legs (i.e. not the hypotenuse) has length 12?

Guest Dec 30, 2022

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226

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help counting

(a) Find the number of ways that Magnus can give out 20 identical stickers to 5 of his friends. (Not everyone has to get a sticker.)

(b) Find the number of ways that Magnus can give out 20 identical stickers to 5 of read more ..

Guest Dec 30, 2022

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207

2

Probability

In the SuperLottery, three balls are drawn (at random, without replacement) from white balls numbered from 1 to 12, and one SuperBall is drawn (at random) from red balls numbered from 13 to 20. When you buy a ticket, you choose three numbers from 1 to 12, read more ..

Guest Dec 30, 2022

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236

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+660

Find all values of x such that

Find all values of x such that:

Answer is NOT 4±2i or 4\pm2i read more ..

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Keihaku Dec 30, 2022

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206

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+660

Please Help! Urgent!

For what real values of c is the square of a binomial?
Answer is NOT 49

Keihaku Dec 30, 2022

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210

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Coordinates

A median of a triangle is a line segment joining a vertex of a triangle to the midpoint of the opposite side. The three medians of a triangle are drawn below.

Note that the three medians appear to intersect at the same point! Let's read more ..

Guest Dec 30, 2022

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164

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help with graphing

The graph of y = f(x) is shown below.

For each point (a,b) that is on the graph of y = f(x), the point ((a - 7)/2, (3b + 1)/4) is plotted, forming the graph of another function y = g(x). As an example, the point read more ..

Guest Dec 30, 2022

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213

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Functions

The functions f and h are defined as follows:
f(x) = (x + 5)/(x - 7) and h(x) = (x + 5)(x - 7).

Explain why the functions f and h are not the same function. read more ..

Guest Dec 30, 2022

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221

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geometry

In triangle PQR, M is the midpoint of PQ. Let X be the point on QR such that PX bisects angle QPR, and let the perpendicular bisector of PQ intersect AX at Y. If PQ = 36, PR = 22, QR = 26, and MY = 8, then find the area read more ..

Guest Dec 30, 2022

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196

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Function

For a certain function f(n), the identity
(2n)/n - (2n)/(n + 1) = f(n) (2n)/n
for all nonnegative integers n. Find f(n).

Guest Dec 30, 2022

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178

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Binomials

For nonnnegative integers a and b, where a >= 2 and b >= 2, simplify
binom{a + b}{2} + binom{2a + b}{2} + binom{a + 2b}{2} - binom{a - b}{2}

Guest Dec 30, 2022

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232

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Yep, plz help

the expression, 4th square root of 7 over 3rd square root of 7, equals 7 raised to what power?

Guest Dec 30, 2022

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161

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binomials

Fill in the blanks to make the equation true (Each blank should contain a positive integer.)

\binom{n}{k} = \binom{n - 2}{k} + \binom{n - 2}{k - 1} + \binom{n - 1}{k} + \binom{n - 1}{k - 1} + \binom{n}{k - 1} + \binom{n}{k + read more ..

Guest Dec 30, 2022

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222

4

I need help, if you could help i would greatly appreciate it

what is the value of n such that, 81^n=9^27 * 27^9?

Guest Dec 30, 2022

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219

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help counting

Find the number of solutions to
x_1 + x_2 + x_3 + x_4 + x_5 + x_6 + x_7 + x_8 + x_9 + x_10 <= 2
in nonnegagive integers.

Guest Dec 30, 2022

Dec 29, 2022

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147

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Algebra

Fill in the blanks:

(3 + sqrt(5) + sqrt(2) - 1)^4 = __ + __ sqrt(5) + __ sqrt(2)

Guest Dec 29, 2022

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198

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Counting

There is a group of five children, where two of the children are twins. How many ways can I distribute 10 identical pieces of candy to the children, if the twins must get an equal amount of candy?

Guest Dec 29, 2022

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