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Post New Question
All Questions
+0
237689 Questions
0
27
1
+490
Algebra
Let
f(x) = \frac{2x + 5}{x - 4} + \frac{x^2 + 1}{4x - 3}.
Find the inverse $f^{-1}(x)$.
●
MeIdHunter
Sep 11, 2024
Sep 10, 2024
0
50
1
+490
Algebra
Let a1, a2, a3, ..., a10 be an arithmetic series. If a1 + a3 = -2 and a2 + a4 + a6 = 1, then find a1.
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MeIdHunter
Sep 10, 2024
0
60
0
+972
Counting
How many solutions are there to the equation
u + v + w + x + y + z = 7
where u, v, w, x, y, and z are nonnegative integers, and x is at most 2 or y is at least 3?
Rangcr897
Sep 10, 2024
0
46
1
+483
Geometry
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 6 from one wall, and a distance of 6 from the other wall. Find the radius of the
read more ..
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bIueb3rry
Sep 10, 2024
0
36
1
+483
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 $\overline{AB}$ is $4,$ and the circle has a radius of $5.$ Find the length $AB.$
read more ..
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bIueb3rry
Sep 10, 2024
0
53
0
+970
Geometry
We have a triangle $\triangle ABC$ and a point $K$ on $BC$ such that $AK$ is an altitude to $\triangle ABC$. If $AC = 8,$ $BK = 2$, and $CK = 3,$ then what is $AB$?
gnistory
Sep 10, 2024
0
58
0
+970
Geometry
In triangle $ABC$, $AB = 10$ and $AC = 15$. Let $D$ be the foot of the perpendicular from $A$ to $BC$. If $BD:CD = 1:3$, then find $AD$.
gnistory
Sep 10, 2024
0
50
0
+1524
Geometry
In triangle $ABC,$ $\angle B = 90^\circ.$ Point $X$ is on $\overline{AC}$ such that $\angle BXA = 90^\circ,$ $AX = 5,$ and $CX = 5$. What is $BX$?
learnmgcat
Sep 10, 2024
0
47
2
+1524
Geometry
In a certain regular polygon, the measure of each interior angle is $2$ times the measure of each exterior angle. Find the number of sides in this regular polygon.
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learnmgcat
Sep 10, 2024
0
1
18
1
+32
Geometry
Two circles are drawn, with the same center. A chord of the large circle is drawn, so that it is tangent to the small circle. If the chord has a length of 10, then find the area of the ring-shaped region that is inside the large circle but outside
read more ..
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surfz
Sep 10, 2024
Sep 9, 2024
0
63
0
+1808
Algebra
Compute
\frac{1}{1 \times 4} + \frac{1}{4 \times 7} + \frac{1}{7 \times 12}
blackpanther
Sep 9, 2024
0
63
0
+1808
Algebra
Fill in the blanks to make a true equation:
1/(n(n + 3)(n + 5)) = __/n + ___/(n + 3) + ___/(n + 5)
blackpanther
Sep 9, 2024
0
39
1
+750
Geometry
A sector of a circle is shown below. The sector has an area of $60 \pi.$ What is the radius of the circle?
read more ..
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siIviajendeukie
Sep 9, 2024
0
47
0
+750
Geometry
Trapezoid $HGFE$ is inscribed in a circle, with $\overline{EF} \parallel \overline{GH}$. If arc $GH$ is $66$ degrees, arc $EH$ is $x^2 + 8x$ degrees, and arc $FG$ is $25 + 16x$ degrees, where $x > 0,$ find arc $EPF$, in degrees.
siIviajendeukie
Sep 9, 2024
0
43
0
+972
Geometry
Points $L$ and $M$ lie on a circle $\omega_1$ centered at $O$. The circle $\omega_2$ passing through points $O,$ $L,$ and $M$ is drawn. If the measure of arc $LM$ in circle $\omega_1$ is $90^\circ,$ and the radius of $\omega_1$ is 1, then find
read more ..
Rangcr897
Sep 9, 2024
0
61
0
+864
Need help
Trapezoid $ABCD$ is inscribed in the semicircle with diameter $\overline{AB}$, as shown below. Find the radius of the semicircle. Find the area of ABCD.
PQDC is a square.
read more ..
RedDragonl
Sep 9, 2024
0
22
1
+363
Math help
Consider the set of all fractions of the form $\frac{2^m}{3^n},$ where $m$ and $n$ are integers such that $0 \le m \le n.$ For example, 1/9 and 8/27 would be included in this set, but not 32/81. What is the sum of all the numbers in this set?
<
read more ..
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Lilliam0216
Sep 9, 2024
0
55
0
+1285
Geometry
In the diagram below, SR = PQ = 20 and RT:TS = 2:5. Find UV.
AnswerscorrectIy
Sep 9, 2024
0
53
0
+1285
Geometry
In triangle $PQR,$ $M$ is the midpoint of $\overline{QR}.$ Find $PM.$
AnswerscorrectIy
Sep 9, 2024
0
43
1
+943
Algebra
Laverne starts counting out loud by 5's. She starts with 2. As Laverne counts, Shirley sums the numbers Laverne says. When the sum finally exceeds 100, Shirley runs screaming from the room. What number does Laverne say that sends
read more ..
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booboo44
Sep 9, 2024
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