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Post New Question
All Questions
+0
235678 Questions
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1
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+133
Algebra
A line and a circle intersect at A and B. Find the coordinates of the midpoint of \overline{AB}.
The ilne is y = 3x - 2, and the circle is (x - 4)^4 + (y - 5)^2 = 68.
crimefightingvigiI
Nov 22, 2024
0
1
1
+4
help plz
You are given the $4 \times 4$ grid below. Find the number of ways of placing $8$ counters in the squares (at most one counter per square), so that each row contains exactly two counters, and each column contains exactly two counters.
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Ning2020
Nov 22, 2024
0
1
1
+133
Number Theory
What is the smallest prime divisor of 5^{19} + 7^{13} + 23?
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crimefightingvigiI
Nov 22, 2024
0
1
1
+133
Number Theory
Find the greatest prime divisor of the value of the arithmetic series
1 + 2 + 3 + \dots + 200
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crimefightingvigiI
Nov 22, 2024
0
1
0
+133
Number Theory
When fractions are expressed in different bases, they can be terminating or repeating. For example, when $\frac{1}{5}$ is expressed in base $3,$ the result is
0.\overline{0121}_3 = 0.01210121 \dots,
which is repeating.
When
read more ..
crimefightingvigiI
Nov 22, 2024
Nov 21, 2024
0
1
2
+948
Algebra
Seven years ago, Grogg's dad was 9 times as old as Grogg. Four years ago, Grogg's dad was 5 times as old as Grogg. How old is Grogg's dad currently?
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Rangcr897
Nov 21, 2024
0
1
0
+948
Algebra
Sophie's favorite (positive) number is a two-digit number. If she reverses the digits, the result is 14 less than her favorite number. Also, one digit is less than double the other digit. What is Sophie's favorite number?
Rangcr897
Nov 21, 2024
0
1
0
+948
Algebra
Find the number of ordered pairs $(a,b)$ of integers such that
\frac{a + 2}{a + 1} = \frac{b}{3}.
Rangcr897
Nov 21, 2024
0
1
0
+305
Geometry
In triangle $PQR,$ $M$ is the midpoint of $\overline{QR}.$ Find $PM.$
MeIdHunter
Nov 21, 2024
0
1
0
+305
Geometry
In the diagram below, SR = PQ = 20 and RT:TS = 2:5. Find UV.
MeIdHunter
Nov 21, 2024
0
1
0
+305
Geometry
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.
MeIdHunter
Nov 21, 2024
0
1
0
+1222
Counting
Annville Junior High School has a math club and a science club. There are $3$ students in the math club and $3$ students who are members of both clubs. There are twice as many students in the science club as in the math club. Find
read more ..
learnmgcat
Nov 21, 2024
0
1
0
+133
Geometry
Point $A$ is reflected over the line shown below to point $B$. Find the coordinates of $B$.
Write your answer as an ordered pair $(x,y)$.
The line is y = x + 3, and A = (7,1).
crimefightingvigiI
Nov 21, 2024
0
1
2
+133
Geometry
The graph of the equation
4x^2 - 12x + 4y^2 + 16y + 17 = -4x + 2y + 5
is a circle. Find the radius of the circle.
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crimefightingvigiI
Nov 21, 2024
+1
1
1
+133
Geometry
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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crimefightingvigiI
Nov 21, 2024
0
1
0
+133
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.
crimefightingvigiI
Nov 21, 2024
0
1
0
+133
Geometry
In triangle $PQR,$ $M$ is the midpoint of $\overline{PQ}.$ Let $X$ be the point on $\overline{QR}$ such that $\overline{PX}$ bisects $\angle QPR,$ and let the perpendicular bisector of $\overline{PQ}$ intersect $\overline{PX}$ at $Y.$ If $PQ = 36$, $PM
read more ..
crimefightingvigiI
Nov 21, 2024
Nov 20, 2024
0
1
0
+534
Counting
In how many ways can three pairs of siblings from different families be seated in two rows of three chairs, if siblings may not sit next to each other in the same row?
cooIcooIcooI17
Nov 20, 2024
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