All Questions ⁺⁰237783 Questions

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Binomial Theorem

Help, how do I use the binomial theorem?
Find the constant term in the expansion of (2z - 1/(z*sqrt(z)))^8.

sandwich Apr 22, 2023

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Please help Geometry

1. Let $ABCDEFGH$ be a rectangular prism, where $EF = 4$, $EH = 5$, and $EA = 6$. Find the volume of pyramid $CFAH$. https://latex.artofproblemsolving.com/0/a/3/0a3404805162de58ee7c86ac6b0e5d23327c0026.png 2.A rectangular prism has a total surface area of read more ..

Guest Apr 22, 2023

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164

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+35

Stuck ON!

The "perpendicular bisector" of the line segment $\overline{AB}$ is the line that passes through the midpoint of $\overline{AB}$ and is perpendicular to $\overline{AB}$. The equation of the perpendicular bisector of the line segment joining the points $(1,2)$ read more ..

OOooooooOOOOOoOO Apr 22, 2023

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I need help

I need help with polygons
Let B, A, and D be three consecutive vertices of a regular -gon. A regular heptagon is constructed on AB with a vertex C next to A Find angle BCD in degrees.

Guest Apr 22, 2023

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Algebra question due today!!

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. https://latex.artofproblemsolving.com/b/c/3/bc36d6a86ebdd87399c8b07d66ec053e8593c264.png Note that read more ..

Guest Apr 22, 2023

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141

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Help plz

This is so hard
Find the number of six-digit numbers, where the sum of the digits is divisible by 8.

Guest Apr 22, 2023

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134

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Please help

I can't count
In how many ways can three pairs of siblings from different families be seated in two rows of three chairs, if siblings may sit next to each other in the same row, but no child may sit directly in front of their read more ..

Guest Apr 22, 2023

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141

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Help me with geometry

Triangle ABC has altitudes AD, BE, and CF. If AD = 12, BE = , and CF is a positive integer, then find the largest possible value of CF.

Guest Apr 22, 2023

Apr 21, 2023

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164

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elapsed time

Jaylen went camping with his family. They left their house at 4:35 P.M. It took 1 hour and 49 minutes to drive to the campground. When they arrived, they spent 54 minutes setting up the campsite and 1 hour and 11 minutes cooking dinner. What time was it read more ..

Guest Apr 21, 2023

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Help with hard counting

Help how do I do this
Joanna has six beads that she wants to assemble into a bracelet. Two of the beads have the same color, and the other four all have the same color. How many different ways can Joanna assemble her bracelet? (Two read more ..

Guest Apr 21, 2023

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TRIANGLES AND AREA (Please dont use trig..)

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 PX at Y. If PQ = 36, PR = 22, and MY = 8, then find the area of triangle PYR.

Guest Apr 21, 2023

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160

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Help plz

Six children are each offered a single scoop of any of 3 flavors of ice cream from the Combinations Creamery. How many ways can each child choose a flavor for their scoop of ice cream so that some flavor of ice cream is selected by exactly three c read more ..

Guest Apr 21, 2023

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Crazy Combinations

From any letter in the diagram, a move can only be made to a letter diagonally adjacent and below. In how many different ways can a path that spells MATHCOUNTS be taken?

Guest Apr 21, 2023

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164

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Help help help

I don't know what to do here.
Let r be a root of x^3 - 2x + 5 = x^3 - x^2 + 9. Show that none of r, r^2, or r^3 is rational.

Guest Apr 21, 2023

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HELP!!!

Solve this equation:
|5x+3| = 4x - 1

Guest Apr 21, 2023

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148

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Help please!

A square is inscribed in a right triangle, as shown below. The legs of the triangle are 1 and 1. Find the area of the square.

Guest Apr 21, 2023

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Help needed

Triangle XYZ is equilateral. Points Y and Z lie on a circle centered at O, such that X is the circumcenter of triangle OYZ, and X lies inside triangle OYZ. If the area of the circle is , then find the area of triangle read more ..

Guest Apr 21, 2023

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