All Questions

123

+36

...

Anyone have an alternate solution to the Leo the Rabbit problem besides combinations?
Just curious

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JovenlyCosmo Aug 25, 2023

164

calculus problem

The function $f(x),$ defined for $x > 0,$ is positive, differentiable, and decreasing. The function $f(x)$ has the following property: Let $P$ be a point on the graph, and draw the tangent to the graph at $P.$ Let the tangent meet the $x$-axis read more ..

Guest Aug 25, 2023

Aug 24, 2023

+1662

help!!

This is hard geometry!!
Two quarter-circles are drawn inside a unit square, as shown. A circle is drawn that is tangent to the quarter-circles, and a side of the square. Find the radius of the circle. read more ..

Tiggsy ●●●●

wiseowl Aug 24, 2023

118

+1944

roots of equation

The quadratic equation $x^2-5x+5=-4x+7$ has two roots. Find the absolute difference of these roots.

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tomtom Aug 24, 2023

115

+1944

i have no idea here

Find the number of lattice points that lie on the graph of $x^2-y^2=17-2xy$. (A lattice point is a point in the coordinate plane where both coordinates are integers.)

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tomtom Aug 24, 2023

110

+1944

help

This came up as a system of equations
The real numbers x and y satisfy x (x+y) = 27 and (x+y) = 54. What is the value of (x+y)^2?

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tomtom Aug 24, 2023

119

+17

Pleas halp me:p

Given $m\geq 2$ denote by $b^{-1}$ the inverse of $b\pmod{m}$. That is, $b^{-1}$ is the residue for which $bb^{-1}\equiv 1\pmod{m}$. Sadie wonders if $(a+b)^{-1}$ is always congruent to $a^{-1}+b^{-1}$ (modulo ). read more ..

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VanillaNavel Aug 24, 2023

151

+64

Solve for all values of x in simplest form.

Solve for all values of x in simplest form.
8+-4x+24

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Kakashi Aug 24, 2023

124

angles in circles

The point $O$ is the center of the circle circumscribed about $\triangle{XYZ}$. What is the degree measure of $\angle{XYZ}$?

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Guest Aug 24, 2023

149

angles in circles

Triangle $PAB$ is formed by three tangents to circle $O$ and $\angle AOB = 40^\circ$. Find $\angle APB$.

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Guest Aug 24, 2023

If 4 pounds of sugar cost $2, the cost of 1 pound of sugar is $ and the cost of 10 pounds of sugar is $

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Guest Aug 24, 2023

133

+19

1) For how many three-digit positive integers does the expansion of have a nonzero constant term?

1) For how many three-digit positive integers does the expansion of have a nonzero constant term?
2) What is the sum of the coefficients of the expansion of ?

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froagt Aug 24, 2023

107

Tom gets $12 off a box of chocolates that had an original price of $48. What percentage is the discount?

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Guest Aug 24, 2023

103

+189

Potential Glitch with Site

I have discovered a glitch with the site.I could report the problem, but I will first leave it as an open forum for all moderators and users alike to see in case I am missing something. I wonder if anyone else is experiencing the same minor glitch. Note read more ..

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The3Mathketeers Aug 24, 2023

140

+789

I need to find largest possible value

If $-6\leq a \leq -2$ and $3 \leq b \leq 5$, what is the greatest possible value of $\frac{a + 1/b}{a - 1/b}$? Express your answer as a common fraction.

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bingboy Aug 24, 2023

151

+789

help plz

Find the largest number $c$ such that the quadratic equation $2x^2+5x+c=x^2+7x$ has at least one real solution.

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bingboy Aug 24, 2023

-1

151

+1348

need help with quadratic

Let $a$ and $b$ be the roots of the quadratic equation $x^2-25x+80=-28x+75$. Compute $\frac{a}{b} + \frac{b}{a}$.

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sandwich Aug 24, 2023

131

parabola

A parabola with equation $y=ax^2+bx+c$ has a vertical line of symmetry at $x=2$ and goes through the two points $(1,1)$ and $(4,-9)$. The quadratic $ax^2 + bx +c$ has two real roots. The greater root is $\sqrt{n}+3$. What is $n$?

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Guest Aug 24, 2023

-1

+789

help right triangles

I need to find right triangles
Find the number of non-congruent right triangles, where all the sides are positive integers, and one of the legs is $6$.

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bingboy Aug 24, 2023

153

positive integers

If x, y, and z are positive integers such that 6xyz + 30xy + 3xz + 8yz + 15x + 44y + 8z =1342, find x + y + z.

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Guest Aug 24, 2023

141

Algebra 1

m+3n=7

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Guest Aug 24, 2023

154

ratios

A wooden board that is 108 inches long is cut into two equal parts. What is the length of each part in feet? (feet : inches = 1 : 12)

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Guest Aug 24, 2023

141

help

In a lottery game, a player picks 8 numbers from 1 to 48. How many different choices does the player have if order doesn't matter?

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Guest Aug 24, 2023

-2

140

+1348

coordinates

The circles $x^2 + y^2 = 4$ and $(x - 5)^2 + (y - 8)^2 = 60$ intersect in two points $A$ and $B.$ Find the distance $AB$.

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sandwich Aug 24, 2023

All Questions ⁺⁰238219 Questions

...

calculus problem

help!!

roots of equation

i have no idea here

help

Pleas halp me:p

Solve for all values of x in simplest form.

angles in circles

angles in circles

If 4 pounds of sugar cost $2, the cost of 1 pound of sugar is $ and the cost of 10 pounds of sugar is $

1) For how many three-digit positive integers does the expansion of have a nonzero constant term?

Tom gets $12 off a box of chocolates that had an original price of $48. What percentage is the discount?

Potential Glitch with Site

I need to find largest possible value

help plz

need help with quadratic

parabola

help right triangles

positive integers

Algebra 1

ratios

help

coordinates

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