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All Questions
^{+0}
234526 Questions
0
4
0
+472
Counting
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}
gnistory
Aug 13, 2024
0
4
0
+1015
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=6 then compute the area of triangle BID.
learnmgcat
Aug 13, 2024
0
4
0
+284
Geometry
In triangle ABC, angle ACB = 90 degrees. Let H be the foot of the altitude from C to side AB.
If BC = 1 and AH = 2, find CH.
Stanry
Aug 13, 2024
0
4
0
+284
Geometry
In triangle ABC, the angle bisector of angle BAC meets BC at D, such that AD = AB. Line segment AD is extended to E, such that angle DBE = angle BAD = 17 degrees. Find angle ABD.
Stanry
Aug 13, 2024
0
2
2
+1
Issues with Complex Equations on Web2.0calc
Hi everyone,
I’ve been using Web2.0calc for some time now, and it’s been great for basic calculations. However, I’ve encountered issues when working with more complex equations involving multiple variables and functions. Sometimes, the
read more ..
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SameulChukwezi
Aug 13, 2024
0
4
1
+467
Algebra
Let $m$ be a real number. If the quadratic equation $x^2+mx+4 = 2x^2 + 17x + 8$ has two distinct real roots, then what are the possible values of $m$? Express your answer in interval notation.
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ChiIIBill
Aug 13, 2024
0
2
1
+467
help algebra
If $a$ and $b$ are positive integers for which $ab - 3a + 4b = 131$, what is the minimal possible value of $|a - b|$?
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ChiIIBill
Aug 13, 2024
0
2
0
+38
I also need some help with this one-
Consider the complex numbers and in the complex plane below:
[asy]
size(250);
import TrigMacros;
real big = 5;<#> for (int i = 1; i < big+1; ++i)<#> {<#> draw(Circle((0,0),i), lightblue + linewidth(0.4));<#>
read more ..
JRFPLSHelp
Aug 13, 2024
0
1
1
+820
Geometry
Semicircles are constructed on AB, AC, and BC. A circle is tangent to all three semicircles. Find the radius of the circle.
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Hi6942O
Aug 13, 2024
0
4
1
+820
Geometry
In triangle ABC, point X is on side BC such that AX=5, BX=5, CX=4, and the circumcircles of triangles ABX and ACX have the same radius. Find the area of triangle ABC.
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Hi6942O
Aug 13, 2024
0
3
0
+38
I need help on this problem-
Consider the complex numbers v, w and z in the complex plane below:
[asy]
size(250);
import TrigMacros;
real big = 4;
for (int i = 1; i < big+1; ++i)<#> {<#> draw(Circle((0,0),i), lightblue + linewidth(0.4));<#>
read more ..
JRFPLSHelp
Aug 13, 2024
0
2
2
+6
How many possible distinct arrangements are there of the letters in the word Mississippi?
Read the title to see the problem
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SnappyRiffs
Aug 13, 2024
0
3
0
+472
Geometry
Triangle ABC is rotated completely around side BC, sweeping out a solid in space. Find the volume of the solid.
AB = 5, AC = 5, CB = 5
gnistory
Aug 13, 2024
0
4
1
+472
Geometry
The area of a trapezoid is $80$. The length of one base is $16$ units greater than the other base, and one base of the trapezoid is $12$. Find the length of the median of the trapezoid.
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gnistory
Aug 13, 2024
Aug 12, 2024
0
1
1
+1341
Geometry
A quadrilateral has angles of $q$, $4q + 17^\circ $, $8q + 21^\circ$, and $15q + 148^\circ $. Find the largest angle of the quadrilateral, in degrees.
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kittykat
Aug 12, 2024
0
1
1
+1341
Geometry
In triangle $ABC$, point $D$ is on side $\overline{AC}$ such that line segment $\overline{BD}$ bisects $\angle ABC$. If $\angle A = 45^\circ$, $\angle C = 45^\circ$, and $AC = 12$, then find the area of triangle $ABD$.
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kittykat
Aug 12, 2024
0
3
1
+550
Geometry
All the sides of a triangle are integers. If the perimeter of the triangle is $3,$ then how many different possible triangles are there? (Assume that the triangle is non-degenerate. Two triangles are considered the same if they are co
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booboo44
Aug 12, 2024
0
4
0
+550
Geometry
Triangle $ABC$ has altitudes $\overline{AD},$ $\overline{BE},$ and $\overline{CF}.$ If $AD = 12,$ $BE = 20,$ and $CF$ is a positive integer, then find the largest possible value of $CF.$
booboo44
Aug 12, 2024
0
4
1
+24
geometry
There are four cities: Capital City, Little Village, Mytown, and Yourtown. The distance from Capital City to Little Village is 5 miles. The distance from Capital City to Mytown is 21 miles. The distance from Mytown to Yourtown is 43 miles. The distance
read more ..
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surfz
Aug 12, 2024
0
1
2
+24
geometry!
Two of the sides of an acute triangle are shown. The length of the third side is also a positive integer. How many different possible values are there for the third side length? (Assume that the triangle is non-degenerate.)
(Two
read more ..
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surfz
Aug 12, 2024
0
3
1
+1307
Algebra
Solve the inequality (x - 2)(x + 6) \le (x - 2)(x + 5). Write your answer in interval notation.
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blackpanther
Aug 12, 2024
0
2
1
+1307
Algebra
Solve the inequality x(x + 6) > 16 - x + 14 + x^2. Write your answer in interval notation.
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blackpanther
Aug 12, 2024
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