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Post New Question
All Questions
+0
236048 Questions
0
31
3
+12
help!!
All the sides of a triangle have integer length. The perimeter of the triangle is 50 and the triangle is isosceles. How many such non-congruent triangles are there?
In how many ways can we choose one number from the set
read more ..
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matheater232
Nov 9, 2023
0
16
3
+12
help urgent
The distance from Capital City to Little Village is 51 miles. From Capital City to Yourtown is 37 miles, from Mytown to Little Village is 8 miles, and from Yourtown to Mytown is 96 miles. How far is it from Mytown to Capital City?
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matheater232
Nov 9, 2023
0
48
0
+1678
quadratic
For what real values of $k$ does the quadratic $12x^2 + kx + 27 = 6x^2 + 12x + 18$ have nonreal roots? Enter your answer as an interval.
wiseowl
Nov 9, 2023
0
63
0
+1678
system
Find all ordered pairs $(x,y)$ of real numbers such that $x + y = 10$ and $x^2 + y^2 = 32 + 2xy$.
For example, to enter the solutions $(2,4)$ and $(-3,9)$, you would enter "(2,4),(-3,9)" (without the quotation marks).
wiseowl
Nov 9, 2023
0
51
0
+1678
quadratic roots
The roots of the quadratic equation $z^2 + bz + c = 0$ are $4 + 2i$ and $-5 + 8i$. What is $b+c$?
wiseowl
Nov 9, 2023
0
30
0
+1678
help quadratic
Find all values of $x$ such that
\frac{x}{x - 5} = \frac{4}{2x - 4} + 2x
wiseowl
Nov 9, 2023
0
41
0
+1678
help with equation
Find all solutions to the equation $x^2 - 11x - 42 = -2x + 10 - x^2 - 5x + 16$.
wiseowl
Nov 9, 2023
0
62
0
+1678
binomial
Find all real values of $s$ such that $x^2 + sx + 144 - 63 + x^2 - 25 - 18$ is the square of a binomial.
wiseowl
Nov 9, 2023
0
55
0
+1678
binomials
For what real values of $c$ is $x^2 - 8x - 4x + c + x^2 - 20x + x^2$ the square of a binomial?
wiseowl
Nov 9, 2023
0
56
0
+1678
Solve
Find all real values of $t$ that satisfy the equation
(t^2 - 13)*2 = 144.
wiseowl
Nov 9, 2023
0
60
0
+1678
Algebra
Solve for $c$ in $(c - 7)^2 = 81 + 5c$.
wiseowl
Nov 9, 2023
Nov 8, 2023
0
53
1
+743
circles
Let $\mathcal{R}$ be the circle centered at $(0,0)$ with radius $15.$ The lines $x = 8$ and $y = 1$ divide $\mathcal{R}$ into four regions $\mathcal{R}_1$, $\mathcal{R}_2$, $\mathcal{R}_3$, and $\mathcal{R}_4$. Let $[\mathcal{R}_i]$ denote the
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bingboy
Nov 8, 2023
0
31
0
+743
help plz
In triangle $ABC$, point $X$ is on side $\overline{BC}$ such that $AX = 13,$ $BX = 13,$ $CX = 12,$ and the circumcircles of triangles $ABX$ and $ACX$ have the same radius. Find the area of triangle $ABC$.
bingboy
Nov 8, 2023
0
37
0
+743
triangle
The vertices of triangle $ABC$ lie on the sides of equilateral triangle $DEF$, as shown. If $CD = 1$, $CE = BD = 3$, and $\angle ACB = 60^\circ$, then find $AE$.
bingboy
Nov 8, 2023
0
68
0
+743
help hard geometry
Triangle $XYZ$ is equilateral. Points $Y$ and $Z$ lie on a circle centered at $O,$ such that $X$ is the circumcenter of triangle $OYZ,$ and $X$ lies inside triangle $OYZ.$ If the area of the circle is $48 \pi,$ then find $\angle YOZ$.
read more ..
bingboy
Nov 8, 2023
0
64
0
+743
trianlges
In triangle $PQR,$ let $X$ be the intersection of the angle bisector of $\angle P$ with side $\overline{QR}$, and let $Y$ be the foot of the perpendicular from $X$ to side $\overline{PR}$. If $PQ = 3,$ $QR = 3,$ and $PR = 4,$ then compute the length
read more ..
bingboy
Nov 8, 2023
0
36
0
+743
help geometry
In square $ABCD,$ $P$ is on $\overline{BC}$ such that $BP = 4$ and $PC = 1,$ and $Q$ is on $\overline{CD}$ such that $DQ = 1$ and $QC = 4.$ Find $\sin \angle PAQ.$
bingboy
Nov 8, 2023
0
65
0
+743
area
Let $G$ be the centroid of triangle $ABC$. If triangle $ABG$ is an equilateral triangle with a side length of $2,$ then find the perimeter of triangle $ABG$.
bingboy
Nov 8, 2023
0
40
0
+743
area
In square $ABCD,$ $M$ is the midpoint of $\overline{AB},$ and $N$ is the midpoint of $\overline{CD}$. If the side length of the square is $1,$ then find the area of the shaded region.
bingboy
Nov 8, 2023
+1
30
3
+5
Please explain how to do this
As shown in the diagram, points B and D are on different sides of AC. We know that and that . What is the distance between the circumcenters of and ?
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Zorrroooorroooo
Nov 8, 2023
0
61
0
+1911
magnitude
We can represent complex numbers geometrically by plotting them on the "complex plane", just like we plot points on the Cartesian plane. The real part of the complex number is the horizontal coordinate and the imaginary part is the vertical coordinate.
read more ..
tomtom
Nov 8, 2023
0
37
1
+4
solving systems of linear equations: advanced
what value of 'r' does the system of linear equations have infinite many solutioins?
x+6y=r-2x
2(x+4)+2y=11+1/2(16+2x)
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srrw011
Nov 8, 2023
0
60
0
+1911
need help
Describe all solutions to zw -3w - 2iw + 4iz = - 8 + 12i where z and w are complex numbers.
tomtom
Nov 8, 2023
0
60
0
+1911
integers
Find the number of ordered pairs $(a,b)$ of integers such that
\frac{a + 2}{a + 1} = \frac{b}{8}.
tomtom
Nov 8, 2023
0
54
1
+1911
complex numbers
Fill in the blanks with real numbers
(sqrt(3) + i)*6i = ___ + ___i
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tomtom
Nov 8, 2023
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