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236052 Questions
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24
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+551
Sums
How many unique sums can be formed by adding any three different numbers from the set {4,6,8,10,12,...,154}?
Pythagorearn
Apr 25, 2024
0
29
0
+2653
help help
Fill in the blank with a constant, so that the resulting expression can be factored as the product of two linear expressions:
2ab - 12a + 3a + 3b - 8b - ab + ___
LiIIiam0216
Apr 25, 2024
0
23
0
+2653
help me
Simplify \frac{4}{1 - \sqrt[3]{3}} + \sqrt[3]{9}.
LiIIiam0216
Apr 25, 2024
0
28
0
+2653
need help
Simplify \dfrac{1}{\sqrt2+sqrt3}+\dfrac{1}{\sqrt2-sqrt3}.
LiIIiam0216
Apr 25, 2024
0
18
1
+355
pls help
Find all ordered pairs x, y of real numbers such that x+y=10 and x^2+y^2=64.
For example, to enter the solutions (2, 4) and (-3, 9), you would enter "(2,4),(-3,9)" (without the quotation marks).
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Lilliam0216
Apr 25, 2024
0
26
0
+2653
Algebra
A plane flies from Penthaven to Jackson and then back to Penthaven. When there is no wind, the round trip takes $3$ hours and $20$ minutes, but when there is a wind blowing from Penthaven to Jackson at $70$ miles per hour, the trip takes $3$ hours
read more ..
LiIIiam0216
Apr 25, 2024
0
24
0
+2653
help help
In physics, Ohm's law says that current through a wire, $I$, is directly proportional to voltage, $V$, and inversely proportional to resistance, $R$:
I = V/R
It's also true that resistance is directly proportional to the length of the wire.
read more ..
LiIIiam0216
Apr 25, 2024
0
29
0
+2653
help me
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?
LiIIiam0216
Apr 25, 2024
0
30
0
+2653
need help
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?
LiIIiam0216
Apr 25, 2024
0
28
1
+355
IDK WHAT TO DO
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?
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Lilliam0216
Apr 25, 2024
0
29
1
+1839
Algebra
Find the largest integer $k$ such that the equation
5x^2 - kx + 8 - 20x^2 + 45 = 0
has no real solutions.
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ABJeIIy
Apr 25, 2024
0
20
1
+1839
Algebra
Find the discriminant of the quadratic 5x^2 - 2x + 8 - 2x^2 + 6x + 2 - 2x^2 + 4x - 1.
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ABJeIIy
Apr 25, 2024
0
32
0
+1839
Algebra
The roots of Ax^2+Bx+1 are the same as the roots of (x - 2)(x + 2). What is A+B?
ABJeIIy
Apr 25, 2024
Apr 24, 2024
0
30
0
+1839
Algebra
Find all the solutions to
\frac{x+4}{x+5} = \frac{x-3}{2} + \frac{x + 7}{5}
ABJeIIy
Apr 24, 2024
0
35
0
+1839
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?
ABJeIIy
Apr 24, 2024
0
12
1
+1839
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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ABJeIIy
Apr 24, 2024
0
39
0
+1839
Algebra
Find the sum of the squares of the roots of $2x^2+4x-1=x^2-8x+3$.
ABJeIIy
Apr 24, 2024
0
23
0
+1839
Algebra
Let $m$ be a real number. If the quadratic equation $x^2+mx+4 = 2x^2 + 17x + 8$ has two distinct real roots, then what are the possible values of $m$? Express your answer in interval notation.
ABJeIIy
Apr 24, 2024
0
19
0
+1839
Algebra
If $a$ and $b$ are positive integers for which $ab - 3a + 4b = 131$, what is the minimal possible value of $|a - b|$?
ABJeIIy
Apr 24, 2024
+1
37
1
+280
Algebra
Let $a$ and $b$ be complex numbers. If $a + b = 4$ and $a^2 + b^2 = 6,$ then what is $a^3 + b^3?$
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ABJelly
Apr 24, 2024
0
26
0
+1911
coordinates
A line and a circle intersect at $A$ and $B,$ as shown below. Find the distance between $A$ and $B$.
The line is x = 4, and the equation of the circle is x^2 + y^2 = 25.
tomtom
Apr 24, 2024
0
21
0
+1911
coordinates
Let $k$ be a positive real number. The line $x + y = 3 + k$ and the circle $x^2 + y^2 = k$ are drawn. Find $k$ so that the line is tangent to the circle.
tomtom
Apr 24, 2024
0
30
0
+1911
Coordinates
Two circles intersect at two points, $P$ and $Q$. The equations of the two circles are $x^2 + (y - 1)^2 = 1$ and $(x - 1)^2 + y^2 = 1$. Find the length PQ.
tomtom
Apr 24, 2024
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