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All Questions
^{+0}
232438 Questions
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46
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geometry
A right triangle has side lengths $3$, $4$, and $5.$ A circle is then drawn with each side as a diameter. Find the area of the region contained in all three circles.
Guest
Sep 1, 2023
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40
0
coordinates
A circle with radius $5$ and center $(a,b)$ is tangent to the lines $y = 6$ and $y = x.$ Compute the largest possible value of $a + b.$
Guest
Sep 1, 2023
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43
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polynomial
In a certain polynomial, all the coefficients are integers, and the constant coefficient is $100000$. All the roots are integers, and distinct. Find the largest possible number of integer roots.
Guest
Sep 1, 2023
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41
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polynomials
Find all integer values of $a$ so that the polynomial
\[x^3 + 3x^2 + ax + 8 = 0\]
has at least one integer root. Enter all possible values of $a,$ separated by commas.
Guest
Sep 1, 2023
0
39
0
polynomial
A polynomial with integer coefficients is of the form
\[28x^4 + a_3 x^3 + a_2 x^2 + a_1 x + 360.\]
Find the number of different possible rational roots of this polynomial.
Guest
Sep 1, 2023
Aug 31, 2023
0
43
0
positive integers
If x, y, and z are positive integers such that 6xyz + 30xy + 18xz + 12yz + 12x + 15y + 7z = 118, find x + y + z.
Guest
Aug 31, 2023
0
21
5
+757
Riddle 41
When can you add two to eleven and get one as the correct answer?
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history
Aug 31, 2023
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9
3
+757
Riddle 40
If seven people meet each other and each shakes hands only once with each of the others, how many handshakes will there have been?
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history
Aug 31, 2023
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11
1
+757
Riddle 39
Jim was examining an angle measuring 14 and 1/2 degrees, using his magnifying glass that magnifies everything two times. Under the glass, how large would that angle measure?
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history
Aug 31, 2023
+1
28
3
+757
Riddle 38
There are 2 ducks in front of 2 other ducks. There are 2 ducks behind 2 other ducks. There are 2 ducks beside 2 other ducks. How many ducks are there?
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history
Aug 31, 2023
0
42
1
quadratic roots
One root of the quadratic equation $x^2 + bx -28 = 4x + 14$ is $-7$. What is the value of $b$?
ElectricPavlov
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Guest
Aug 31, 2023
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36
6
+52
Question that confused me
I got this question in a textbook and it really confused me. Can anyone help?
Suppose that A is a base 10 digit and the base 63 number A7894321(63) would end with a zero if it were written in base 10. Find all possible values of A.
(A7894321
read more ..
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choutowne
Aug 31, 2023
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43
3
I need help urgently.
on a triangle, the traingle ABC has 3 sidelenghts, 5, 5, 6. what is the circumradius?
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Guest
Aug 31, 2023
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43
0
help
find the circumradius of a triangle ABC, on line AB, the value of that line is 8, and the angle measures are:
Guest
Aug 31, 2023
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27
1
binomial
Find the sum of all values of $k$ for which $x^2 + kx - 9x + 25 - 9$ is the square of a binomial.
ElectricPavlov
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Guest
Aug 31, 2023
0
42
1
inradius
Find the radius of the incircle of triangle ABC.
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Guest
Aug 31, 2023
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44
3
coordinates
The vertices of a triangle are the points of intersection of the line $y = -x-1$, the line $x=2$, and $y = x +2$. Find the center of the circle passing through all three vertices.
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Guest
Aug 31, 2023
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38
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algebra problem
Five workers have been hired to complete a job. If one additional worker is hired, they could complete the job $8$ days earlier. If the job needs to completed $28$ days earlier, how many additional workers should be hired?
ElectricPavlov
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Guest
Aug 31, 2023
-2
44
2
+816
quadratic
Help this is a question about quadratic
The quadratic equation $ax^2+20x+c=4x$ has exactly one solution. If $a+c=20$, and $a
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maximum
Aug 31, 2023
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44
1
Pls help, thanks!
There boys donated the same amount of their savings to a charity organization. Ramian donated 2/3 of his savings, Brandon donated 4/7 of his and Johnathan donated 3/5 of his. They had a total savings of $1652 at first. How much did each boy donate
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Guest
Aug 31, 2023
Aug 30, 2023
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39
1
help
We have that $3 \cdot f(x) + 4 \cdot g(x) = h(x)$ where $f(x),$$g(x),$$h(x),$ are all polynomials in x If the degree of $f(x)$ is 8 and the degree of $h(x)$ is 9 , then what is the minimum possible degree of $g(x)$
read more ..
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Guest
Aug 30, 2023
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