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Post New Question
All Questions
+0
236046 Questions
0
33
1
+478
Coefficient
Find the coefficient of u^2*v^9 in (2u - 3*v^3)*5*(3u^3 - 2v^5)^3.
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ChiIIBill
Jan 16, 2024
0
42
1
+478
Real numbers
Let a and b be real numbers such that a^3 + 3ab^2 = 679 and 3a^3 - ab^2 = 615. Find a - b.
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ChiIIBill
Jan 16, 2024
0
38
1
+478
Constant Term
Find the constant term in the expansion of (2z - 1/sqrt(z))*5*(z - 1/sqrt(z))^3.
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ChiIIBill
Jan 16, 2024
0
24
1
+1678
Equation of line
A line passes through the points $P$ and $Q.$ If $P = (-8,2)$ and $Q = (4,-7),$ then write the equation of this line in the form $Ax + By = C,$ where $A$, $B$, and $C$ are integers with greatest common divisor $1,$ and $A$ is positive.
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wiseowl
Jan 16, 2024
0
32
1
+1678
Coordinates
Find the distance between the $x$-intercept and the $y$-intercept of the graph of the equation $3x - 6y = 12 + 8x - 3y$.
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wiseowl
Jan 16, 2024
0
52
2
+39
math quesiton
All seven smaller circles are tangent to each other, and the larger circle is tangent to the six outer smaller circles. the radius of each of the smaller circles is 3 cm. In cm^2, the sum of the areas marked "a" is.
read more ..
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hi1234
Jan 16, 2024
0
24
1
+1678
Coordinates
The distance between the points $A$ and $B$ is $\sqrt{5}.$ If $A = (a,-1)$ and $B = (2,2a-7),$ then find the sum of all possible values of $a.$
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wiseowl
Jan 16, 2024
0
36
1
+1678
Coordinates
A line has a slope of $m,$ and its $y$-intercept is $(0,b)$. If $m = 8$ and $b = 14,$ then what is the $x$-intercept of the line?
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wiseowl
Jan 16, 2024
0
35
1
+1768
Trapezoid
Let $WXYZ$ be a trapezoid with bases $\overline{XY}$ and $\overline{WZ}$. In this trapezoid, $\angle ZXW = 90^\circ$, $\angle XWZ = 60^\circ$, and $\angle XYZ = 120^\circ$. Find $\angle XZW$, in degrees.
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bader
Jan 16, 2024
-1
26
0
+1768
Quadrilateral
Quadrilateral $ABCD$ is a parallelogram. Let $E$ be a point on $\overline{AB},$ and let $F$ be the intersection of lines $DE$ and $BC.$ The area of triangle $EBF$ is $5,$ and the area of triangle $EAD$ is $5.$ Find the area of parallelogram
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bader
Jan 16, 2024
0
21
1
+1768
Trapezoid
In trapezoid $PQRS,$ $\overline{PQ} \parallel \overline{RS}$. Let $X$ be the intersection of diagonals $\overline{PR}$ and $\overline{QS}$. The area of triangle $PQX$ is $4,$ and the area of triangle $PSR$ is $8.$ Find the area of trapezoid
read more ..
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bader
Jan 16, 2024
Jan 15, 2024
0
37
0
+1768
Parallelogram
In parallelogram $EFGH,$ let $M$ be the point on $\overline{EF}$ such that $FM:ME = 3:5,$ and let $N$ be the point on $\overline{EH}$ such that $HN:NE = 2:5.$ Line segments $\overline{FH}$ and GM intersect at P, and line segments FH and GN intersect at
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bader
Jan 15, 2024
0
25
1
+1768
Trapezoid
The area of a trapezoid is $80$. The length of one base is $4$ units greater than the other base, and the height of the trapezoid is $12$. Find the perimeter of the trapezoid.
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bader
Jan 15, 2024
0
36
1
+1768
Trapezoid
In trapezoid $ABCD,$ $\overline{AB} \parallel \overline{CD}$. Find the area of the trapezoid.
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bader
Jan 15, 2024
+1
49
1
+344
cool problem
The symbol n! is pronounced "n factorial" and it is shorthand for the product n x (n-1) x (n-2) x ... x 2 x 1. How many zeros does 2017! end in?
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hipie
Jan 15, 2024
0
52
0
+1911
Algebra
Let a and b be the solutions to 7x^2 + x - 5 = 6x^2 - 5x + 12. Compute 1/(a^2 - 4) + 1/(b^2 - 4).
tomtom
Jan 15, 2024
0
39
0
+1911
Algebra
Let u and v be the solutions to 3x^2 + 5x + 7 = 2x^2 + 5x - 19. Find \frac{u^2}{v} + \frac{v^2}{u}.
tomtom
Jan 15, 2024
0
40
1
+1911
Algebra
Let a and b be the solutions to 5x^2 - 11x + 4 = 4x^2 + 11x + 13. Find \frac{1}{a^3} + \frac{1}{b^3}.
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tomtom
Jan 15, 2024
0
22
1
+1455
Triangle Inequality
All the sides of a triangle have integer length. The perimeter of the triangle is 5 and the triangle is isosceles. How many such non-congruent triangles are there?
Imcool
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kittykat
Jan 15, 2024
0
46
0
+1768
Dilation
Let G be the center of equilateral triangle ABC A dilation centered at G with scale factor -1/5 is applied to triangle ABC to obtain triangle A'B'C' Let K be the area of the region that is contained in both triangles ABC and A'B'C' Find K/[ABC]
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bader
Jan 15, 2024
0
43
1
+1768
Geometry
The vertices of triangle $ABC$ lie on the sides of equilateral triangle $DEF$, as shown. If $CD = 5$, $CE = BD = 4$, and $\angle ACB = 60^\circ$, then find $AE$.
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bader
Jan 15, 2024
0
38
1
+1455
Coordinates
Point $A$ is reflected over the line shown below to point $B$. Find the coordinates of $B$.
Write your answer as an ordered pair $(x,y)$.
Point A is (5,7), and the line is y = x.
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kittykat
Jan 15, 2024
0
26
1
+1455
Coordinates
Line $\ell$ is drawn in the coordinate plane below. If the slope of line $\ell$ is $2,$ then find the area of the triangle determined by the line and the coordinate axes.
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kittykat
Jan 15, 2024
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