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Post New Question
All Questions
+0
231355 Questions
0
1
0
+1103
Geometry
Let $WXYZ$ be a trapezoid with bases $\overline{XY}$ and $\overline{WZ}$. In this trapezoid, $\angle ZXW = 120^\circ$, $\angle XWZ = 60^\circ$, and $\angle XYZ = 120^\circ$. Find $\angle YXZ$, in degrees.
Akhain1
1 hour ago
0
1
0
+1103
Geometry
In a rhombus, all the side lengths are $12,$ and one of the angles is equal to $20^\circ.$ Find the area of the rhombus.
Akhain1
1 hour ago
0
1
1
+1103
Geometry
Find the area of parallelogram ABCD.
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Akhain1
2 hours ago
0
1
0
+1103
Geometry
The perimeter of a rectangle is $40,$ and the length of one of its diagonals is $10 \sqrt{2}.$ Find the area of the rectangle.
Akhain1
2 hours ago
0
1
1
+1103
Geometry
Point $B$ is the image of point $A$ under a dilation with center $O$. If $OB = 30$, and the scale factor of the dilation is $5$, then what is $OA$?
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Akhain1
3 hours ago
0
1
0
+1103
Geometry
Let a be a real number such that 0 < a < \frac{\pi}{2}. Show that \left(\sin(a)\right)^7 + \left(\cos ( a)\right)^7< 2*sin(a)^4*cos(a)^4.
Akhain1
6 hours ago
0
1
0
+1103
Geometry
Let A1 A2 A3 ... A15 be a regular polygon. A rotation centered at $A_4$ with an angle of $\alpha$ takes $A_3$ to $A_5$. Given that $\alpha < 180^\circ$, find $\alpha,$ in degrees.
Akhain1
6 hours ago
0
1
0
+1103
Geometry
Let $ABCD$ be a square with side length $1.$ A laser is located at vertex $A,$ which fires a laser beam at point $X$ on side $\overline{BC},$ such that $BX = \frac{1}{2}.$ The beam reflects off the sides of the square, until it ends up at another
read more ..
Akhain1
7 hours ago
0
1
0
+1103
Geometry
Let $G$ be the center of equilateral triangle $XYZ.$ A dilation centered at $G$ with scale factor $-\frac{4}{3}$ is applied to triangle $XYZ,$ to obtain triangle $X'Y'Z'.$ Let $A$ be the area of the region that is contained inside both triangles XYZ and
read more ..
Akhain1
7 hours ago
0
1
0
+113
Hey guys a couple problems
I was going over some notes and I noticed a pretty big dilemma talking about types of tables and graphs. I was wondering what are some defining features about types of graphs that make them the best option for a statistics problem. If you guys could please
read more ..
breadstickim01
7 hours ago
0
1
0
+215
Geometry
Let $APQRS$ be a pyramid, where the base $PQRS$ is a square. The total surface area of pyramid $APQRS$ (including the base) is $800$. Let $W$, $X$, $Y$, and $Z$ be the midpoints of $\overline{AP}$, $\overline{AQ}$, $\overline{AR}$, and $\overline{AS}$,
read more ..
Hi6942O
9 hours ago
0
1
1
+215
Geometry
Let $ABCD$ be a regular tetrahedron. Let $E$, $F$, $G,$ $H$ be the centers of faces $BCD$, $ACD$, $ABD$, $ABC$, respectively. The volume of pyramid $DEFG$ is $18.$ Find the volume of pyramid $EFGH$
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Hi6942O
9 hours ago
0
1
0
+215
Geometry
Donatello starts with a marble cube. He then slices a pyramid off each corner, so that in the resulting polyhedron, all the edges have the same side length. If the side length of the original cube is $6$, then find the volume of the resulting
read more ..
Hi6942O
10 hours ago
0
1
1
+215
Algebra
The area of a square, in square units, is 38 more than 10 times the length of a side of the square, in units.
Find all possible values for the side length of the square.
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Hi6942O
May 20, 2024, 4:50:55 AM
+1
1
1
+215
Algebra
Fill in the blanks to make a quadratic whose roots are 5 and -5.
x^2 + ___ x + ___
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Hi6942O
May 20, 2024, 4:49:35 AM
0
1
0
+215
Algebra
Consider the quadratic equation ax^2 + bx + c = 0 with a, b, c integers from -4 to 4 and a is not 0. The solutions to this equation are in the form where D is square free . Determine the largest possible value of D.
Hi6942O
May 20, 2024, 4:49:23 AM
+1
1
1
+215
Algebra
Let a and b be the solutions to 5x^2 - 11x + 4 = 4x^2 - 17x + 6. Find 1/a^3 + 1/b^3.
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Hi6942O
May 20, 2024, 12:50 AM
0
1
1
+215
Algebra
Let u and v be the solutions to 3x^2 + 5x + 7 = 2x^2 + 11x - 6. Find u/v^2 + v/u^2.
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Hi6942O
May 20, 2024, 12:50 AM
+1
1
1
+215
Algebra
Let a and b be the solutions to 7x^2 + x - 5 = -3x^2 - 9x - 4. Compute (a - 4)/(b - 4) + (b - 4)/(a - 4).
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Hi6942O
May 20, 2024, 12:49 AM
May 19, 2024
0
1
0
+215
Algebra
Find all ordered pairs $(x,y)$ of real numbers such that $x + y = 10$ and $x^2 + y^2 = 32 + 2xy$.
For example, to enter the solutions $(2,4)$ and $(-3,9)$, you would enter "(2,4),(-3,9)" (without the quotation marks).
Hi6942O
May 19, 2024
0
1
1
+215
Algebra
The roots of the quadratic equation $z^2 + bz + c = 0$ are $4 + 2i$ and $-5 + 8i$. What is $b+c$?
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Hi6942O
May 19, 2024
0
1
1
+215
Algebra
Find all values of $x$ such that
\frac{x}{x - 5} = \frac{4}{2x - 4} + 2x
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Hi6942O
May 19, 2024
0
1
1
+215
Algebra
Find all solutions to the equation $x^2 - 11x - 42 = -2x + 10 - x^2 - 5x + 16$.
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Hi6942O
May 19, 2024
0
1
1
+215
Algebra
Find all real values of $s$ such that $x^2 + sx + 144 - 63 + x^2 - 25 - 18$ is the square of a binomial.
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Hi6942O
May 19, 2024
0
1
1
+215
Algebra
For what real values of $c$ is $x^2 - 8x - 4x + c + x^2 - 20x + x^2$ the square of a binomial?
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Hi6942O
May 19, 2024
0
2
1
+215
Algebra
One of the five quadratics below has a repeated root. (The other four have distinct roots.) What is the repeated root?
x^2 - 2x + 1
x^2 - 4x - 4
x^2 + 6x - 9
read more ..
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Hi6942O
May 19, 2024
0
1
0
+248
Coordinates
Points A, B, and C are given in the coordinate plane. There exists a point Q and a constant k such that for any point P,
PA^2 + PB^2 + PC^2 = 3PQ^2 + k.
If A = (7,-11), B = (10,13), and C = (18,-22), then find the
read more ..
eramsby1O1O
May 19, 2024
+1
1
1
+248
Coordinates
Let $O$ be the origin. Points $P$ and $Q$ lie in the first quadrant. The slope of line segment $\overline{OP}$ is $4,$ and the slope of line segment $\overline{OQ}$ is $5.$ If $OP = OQ,$ then compute the slope of line segment $\overline{PQ}.$
Note:
read more ..
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eramsby1O1O
May 19, 2024
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