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All Questions
^{+0}
235059 Questions
0
6
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+94
Geometry
The tangent to the circumcircle of triangle $WXY$ at $X$ is drawn, and the line through $W$ that is parallel to this tangent intersects $\overline{XY}$ at $Z.$ If $XZ = 5$ and $YZ = 2,$ find $WX.$
AUnVerifedTaxPayer
Sep 7, 2024
0
3
0
+94
Geometry
In triangle $ABC,$ $\angle C = 90^\circ.$ A semicircle is constructed along side $\overline{AC}$ that is tangent to $\overline{BC}$ and $\overline{AB}.$ If the radius of the semicircle is equal to $1$ and $AB = 2$, then find $AC.$
AUnVerifedTaxPayer
Sep 7, 2024
+1
1
2
+94
need help
A circular table is pushed into a corner of the room, where two walls meet at a right angle. A point $P$ on the edge of the table (as shown below) has a distance of $3$ from one wall, and a distance of $3$ from the other wall. Find the radius
read more ..
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AUnVerifedTaxPayer
Sep 7, 2024
0
4
1
+94
help geometry
Two tangents $\overline{PA}$ and $\overline{PB}$ are drawn to a circle, where $P$ lies outside the circle, and $A$ and $B$ lie on the circle. The length of $\overline{PA}$ is $5,$ and $AB$ has a length of 6. Find the radius of the circle.</
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AUnVerifedTaxPayer
Sep 7, 2024
0
1
2
+1234
Algebra
All members of our painting team paint at the same rate. If $10$ members can paint a $1000$ square foot wall in $10$ minutes, then how long would it take for $5$ members to paint a $1000$ square foot wall, in minutes?
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Akhain1
Sep 7, 2024
0
1
1
+1234
Algebra
All members of our painting team paint at the same rate. If $10$ members can paint a $100$ square foot wall in $10$ minutes, then how long would it take the $15$ members to paint a $100$ square foot wall, in minutes?
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Akhain1
Sep 7, 2024
0
4
2
+191
Algebra
Seven years ago, Grogg's dad was $9$ times as old as Grogg. Four years ago, Grogg's dad was $6$ times as old as Grogg. How old is Grogg's dad currently?
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MeIdHunter
Sep 7, 2024
0
5
0
+191
Algebra
Pearl writes down seven consecutive integers, and adds them up. The sum of the integers is equal to 28/9 times the largest of the seven integers. What is the smallest integer that Pearl wrote down?
MeIdHunter
Sep 7, 2024
0
2
0
+191
Algebra
The solutions to
2x^2 - 10x + 13 = -6x^2 - 18x - 15
are a+bi and a-bi, where a and b are positive. What is a\cdot b?
MeIdHunter
Sep 7, 2024
+1
3
1
+406
Algebra
Levans writes a positive fraction in which the numerator and denominator are integers, and the numerator is 2 greater than the denominator. He then writes several more fractions. To make each new fraction, he increases both the numerator and the denominator
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cooIcooIcooI17
Sep 7, 2024
0
3
2
+406
Algebra
Evaluate the infinite geometric series
0.4 + 0.036 + 0.0000324 + ...
Express your answer as a fraction with integer numerator and denominator.
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cooIcooIcooI17
Sep 7, 2024
0
3
1
+406
Algebra
The quadratic equation $x^2-mx+24 = 10$ has roots $x_1$ and $x_2$. If $x_1$ and $x_2$ are integers, how many different values of $m$ are possible?
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cooIcooIcooI17
Sep 7, 2024
0
2
1
+2653
Algebra
Find the largest integer k such that the equation 5x^2 - kx + 8 - 2x^2 + 25 =0 has no real solutions
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LiIIiam0216
Sep 7, 2024
0
3
1
+614
Algebra
Find the discriminant of the quadratic 5x^2 - 2x + 8 - 2x^2 + 6x + 2.
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gnistory
Sep 7, 2024
0
7
0
+157
Geometry
In triangle $PQR,$ $M$ is the midpoint of $\overline{QR}.$ Find $PM.$
PQ = 5, PR = 8, QR = 11
bIueb3rry
Sep 7, 2024
-1
3
0
+279
Algebra
The equation of the line below can be expressed in the form
\frac{x}{a} + \frac{y}{b} = 1.
Find a.
read more ..
Stanry
Sep 7, 2024
0
5
0
+274
Algebra
Let $A$, $B$, and $C$ be constants so that
\frac{1}{x^3-2x^2-5x+9}=\frac{A}{x+5}+\frac{B}{x-3} + \frac{C}{(x - 3)^2}
holds for all real numbers $x$ other than $-5$ and $3.$ What is $A$?
nathanl6656
Sep 7, 2024
0
2
0
+181
Algebra
Suppose $f(x)$ is a function defined for all real $x$, and suppose $f$ is invertible (that is, $f^{-1}(x)$ exists for all $x$ in the range of $f$). If the graphs of $y=f(x)$ and $y=f(1/x)$ are drawn, at how many points do they intersect?
BRAlNBOLT
Sep 7, 2024
0
4
0
+732
Geometry
In right triangle $ABC,$ $\angle C = 90^\circ$. Median $\overline{AM}$ has a length of 1, and median $\overline{BN}$ has a length of 1. What is the length of the hypotenuse of the triangle?
magenta
Sep 7, 2024
0
2
1
+47
How do I ask an off topic question?
Help please. Also, here is a problem for you people
Points T and U lie on a circle centered at O, and point P is outside the circle such that PT and PU are tangent to the circle. If , then what is the measure of
read more ..
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AUnVerifiedTaxPayer
Sep 7, 2024
0
5
0
+251
Number Theory
How many positive four-digit integers $N$ have the property that the three-digit number obtained by removing the leftmost digit is equal to $\frac{N}{24}?$
fjeihqoO
Sep 7, 2024
0
3
1
+251
Number Theory
The product of a set of distinct positive integers is $630$. If one of the numbers is 42, what are the other two numbers?
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fjeihqoO
Sep 7, 2024
0
6
0
+614
Number Theory
Let $a$, $b$, $c$, and $n$ be positive integers. If $a + b + c = 19 \cdot 97$ and
a + 3n = b - 2n = \frac{c}{5n},
compute the value of $a$.
gnistory
Sep 7, 2024
0
2
0
+614
Number Theory
Let $a$, $b$, $c$, and $n$ be positive integers. If $a + b + c = 19 \cdot 97$ and
a + 3n = b - 2n = \frac{c}{5n},
compute the value of $a$.
gnistory
Sep 7, 2024
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