All Questions ⁺⁰230548 Questions

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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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29

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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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32

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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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34

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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

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29

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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

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34

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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

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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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7

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?

history Aug 31, 2023

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10

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?

history Aug 31, 2023

+1

19

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?

history Aug 31, 2023

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32

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quadratic roots

One root of the quadratic equation $x^2 + bx -28 = 4x + 14$ is $-7$. What is the value of $b$?

ElectricPavlov ●

Guest Aug 31, 2023

0

26

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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I need help urgently.

on a triangle, the traingle ABC has 3 sidelenghts, 5, 5, 6. what is the circumradius?

Guest Aug 31, 2023

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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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binomial

Find the sum of all values of $k$ for which $x^2 + kx - 9x + 25 - 9$ is the square of a binomial.

ElectricPavlov ●

Guest Aug 31, 2023

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32

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inradius

Find the radius of the incircle of triangle ABC.

Guest Aug 31, 2023

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33

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.

Guest Aug 31, 2023

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28

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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 ●

Guest Aug 31, 2023

-2

33

2

+819

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

maximum Aug 31, 2023

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34

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 read more ..

Guest Aug 31, 2023

Aug 30, 2023

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27

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 ..

Guest Aug 30, 2023

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