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MEMEG0D
Username
MEMEG0D
Score
448
Membership
Stats
Questions
107
Answers
16
107 Questions
16 Answers
0
26
1
+448
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.
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MEMEG0D
Jan 30, 2025
0
39
0
+448
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.
MEMEG0D
Jan 30, 2025
0
47
0
+448
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 ..
MEMEG0D
Jan 29, 2025
0
22
1
+448
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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MEMEG0D
Jan 29, 2025
0
43
0
+448
Algebra
Let a1, a2, a3, ... be an arithmetic sequence. Let Sn denote the sum of the first n terms. If S_5 = 1/5 and S_10 = 1/10, then find S_15.
MEMEG0D
Jan 29, 2025
0
40
0
+448
Algebra
Let
f(x) = \frac{2x + 5}{x - 4} + \frac{x^2 + 1}{4x - 3}.
Find the inverse $f^{-1}(x)$.
MEMEG0D
Jan 28, 2025
+1
36
1
+448
Algebra
Let $a$ and $b$ be real numbers, where $a < b$, and let $A = (a,a^2)$ and $B = (b,b^2)$. The line $\overline{AB}$ (meaning the unique line that contains the point $A$ and the point $B$) has slope $2$. Find $a + b$.
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MEMEG0D
Jan 27, 2025
+1
38
2
+448
Algebra
Let $O$ be the origin. Points $P$ and $Q$ lie in the first quadrant. The slope of line segment $\overline{OP}$ is $4,$ and the slope of line segment $\overline{OQ}$ is $5.$ If $OP = OQ,$ then compute the slope of line segment $\overline{PQ}.$
Note:
read more ..
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MEMEG0D
Jan 27, 2025
0
46
0
+448
Algebra
Points $A,$ $B,$ and $C$ are given in the coordinate plane. There exists a point $Q$ and a constant $k$ such that for any point $P$,
PA^2 + PB^2 + PC^2 = 3PQ^2 + k.
If $A = (7,-11),$ $B = (10,13),$ and $C = (18,-22)$, then find the constant
read more ..
MEMEG0D
Jan 27, 2025
0
41
1
+448
Geometry
Let $ABC$ be a triangle. Let $X$ be a point on $\overline{AC}$ such that $\angle BXA = 90^\circ.$ If $\angle ABC = 90^\circ,$ $AX = 15,$ and $CX = 15,$ then what is $BX?$
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MEMEG0D
Jan 26, 2025
0
41
1
+448
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.
●
MEMEG0D
Jan 26, 2025
0
3
17
2
+448
Algebra
Fill in the blanks with numbers to make a true equation.
3x^2 + 12x - 4 - 2x^2 + 6x + 7 = ___ (x + ___ )^2 + ___
Dragononweb2.0calc
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MEMEG0D
Jan 14, 2025
0
34
1
+448
Algebra
The parabola y = ax^2 + bx + c is graphed below. Find a + b + c. (The grid lines are one unit apart.)
The parabola passes through (-2,8), (0,0), and (2,8).
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MEMEG0D
Jan 14, 2025
0
26
1
+448
Algebra
Find the vertex of the graph of the equation y = -2x^2 + 8x - 15 - 3x^2 - 14x + 25.
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MEMEG0D
Jan 14, 2025
0
46
0
+448
Algebra
Let
f(x) = \left\lfloor\frac{2 - 3x}{3x + 1}\right\rfloor.
Evaluate f(1)+f(2) + f(3) + \dots + f(999)+f(1000). (This sum has 1000 terms, one for the result when we input each integer from 1 to 1000 into f.)
MEMEG0D
Jan 13, 2025
0
50
0
+448
Algebra
The function f(x) is defined for 1 \le x \le 5 as follows:
f(x) = 2x + 8 if 1 \le x \le 2
f(x) = 13 - 5x if 2 < x \le 3
f(x) = 20 - 14x if 3 < x \le 4
read more ..
MEMEG0D
Jan 13, 2025
0
48
0
+448
Geometry
Point X is on side \overline{AC} of triangle $ABC$ such that $\angle AXB =\angle ABX + 20^\circ$, and $\angle ABC - \angle BAC = 36^\circ$. Find $\angle XBC$ in degrees.
MEMEG0D
Jan 6, 2025
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