All Questions ⁺⁰235549 Questions

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+1234

Geometry

We have a triangle $\triangle ABC$ and a point $K$ on $BC$ such that $AK$ is an altitude to $\triangle ABC$. If $AC = 8,$ $BK = 2$, and $CK = 3,$ then what is $AB$?

Akhain1 Apr 8, 2024

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8

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+1234

Geometry

Points $A$ and $B$ are on side $\overline{YZ}$ of rectangle $WXYZ$ such that $\overline{WA}$ and $\overline{WB}$ trisect $\angle ZWX$. If $WX = 2$ and $XY = 3$, then what is the area of rectangle $WXYZ$?

Akhain1 Apr 8, 2024

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17

2

+1234

Geometry

In rectangle $WXYZ$, $A$ is on side $\overline{WX}$, $B$ is on side $\overline{YZ}$, and $C$ is on side $\overline{XY}$. If $AX = 15$, $BY = 20$, $\angle ACB= 60^\circ$, and $CY = 3 \cdot CX$, then find $AB$.

Akhain1 Apr 8, 2024

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14

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+1234

Geometry

In right triangle $ABC,$ $\angle C = 90^\circ$. Median $\overline{AM}$ has a length of 1, and median $\overline{BN}$ has a length of 1. What is the length of the hypotenuse of the triangle?

Akhain1 Apr 8, 2024

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+1234

Geometry

In triangle $PQR,$ $M$ is the midpoint of $\overline{QR}.$ Find $PM.$
PQ = 5, PR = 8, QR = 11

Akhain1 Apr 8, 2024

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18

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+4

So, n = k/y. Given k is 1 kg m^1 and y is 1 kg m^−1 what is n?

So, n = k/y. Given k is 1 kg m^1 and y is 1 kg m^−1 what is n?
Thanks in advance

jessjdpope Apr 8, 2024

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20

2

+95

Using Geometry with Probability

A stick is broken at two points, chosen at random. If the length of the stick is 6 units, then what is the probablility that all three pieces are shorter than 5 units?
Thanks for the help!

ZBRS7311 Apr 8, 2024

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29

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+479

Functions

Let
f(x) = \frac{2x + 5}{x - 4} + \frac{x^2 + 1}{4x - 3}.
Find the inverse $f^{-1}(x)$.

ChiIIBill Apr 8, 2024

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17

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+479

Function

Let $f(x) = 3x - 8 + 4x^2$ and $g(x) = 15x + c - 3x^2$. Find $c$ if $(f \circ g)(x) = (g \circ f)(x)$ for all $x$.

ChiIIBill Apr 8, 2024

+3

7

2

+21

Probability Question

Try to solve this difficult probability question:
A fair coin is tossed repeatedly until either heads comes up three times in a row or tails comes up three times in a row. What is the probability that the coin will be tossed more than $10$ times? read more ..

blueorange Apr 8, 2024

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+85

Geometry!

Are you able to solve these problems?
1.

2.
<#> read more ..

Akhaim1 Apr 8, 2024

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27

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+479

help Algebra

Find all real numbers $x$ such that $f(x) = f(f(x))$, where $f(x) = x^2 - 3x + x^3 - 7x^2 + 5x.$

ChiIIBill Apr 8, 2024

Apr 7, 2024

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14

2

+479

Function

The function $f(x,y)$ gives an ordered pair as output. It is defined according to the following rules:
* If $x > 4$, $f(x,y) = (x - 4,y)$.
* If $x \le 4$ but $y > 4$, $f(x,y) = (x,y - 4)$.
* Otherwise, $f(x,y) = (x + y + 11, read more ..

ChiIIBill Apr 7, 2024

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13

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+479

Function

Let $f(x) = px + q$, where $p$ and $q$ are real numbers. Find $p+q$ if $f(f(f(x))) = 64x - 105 - 30x + 70 + 32x - 12$.

ChiIIBill Apr 7, 2024

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20

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+479

Function

The function
f(x) = \frac{cx}{(4x - 5)(3x + 2)}
satisfies $f(f(x))=x$ for all real numbers $x\neq \frac{5}{4}$ and $x \neq -\frac{2}{3}$. Find $c$.

ChiIIBill Apr 7, 2024

+1

23

5

+302

Please Help, Thank YOU if you try or help :)

Question 1) How many positive five-digit integers contain the digit grouping "24" at least once? For instance, 24380 and 24440 are two such integers to include, but 23480 and 42034 do not meet the restrictions.
Question 2) For how many read more ..

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aboslutelydestroying Apr 7, 2024

+1

18

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+302

Geometry Problem, Please help, Thank YOU if you try or help :)

The points (1, 7), (13, 16) and (7,k), where k is an integer, are vertices of a triangle. What is the sum of the values of kfor which the area of the triangle is a minimum?

aboslutelydestroying Apr 7, 2024

+1

17

5

+302

Please Help. Thank YOU if you try or help :)

A standard deck of playing cards has 52 cards divided into four suits (clubs, diamonds, hearts, spades). Each suit consists of nine "number cards", each containing a different number from 2 to 10, and four "face cards" that include a jack, a queen, a king read more ..

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aboslutelydestroying Apr 7, 2024

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16

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+118

Compute

SilviaJendeukie Apr 7, 2024

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+118

Fill in the blanks to make a true equation:

Fill in the blanks to make a true equation:
1/n(n+3)=blank/n+blank/n+3.

SilviaJendeukie Apr 7, 2024

+1

37

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+5

HELP

Function f has an inverse. The graph of f^-1 passes through (3,-6). Define g(x) = 2f(3x) - 5. Function g also has an inverse. What point must the graph of g^-1 pass through?

Tigergaming2464 Apr 7, 2024

+2

17

2

+302

Hard Algebra 2 problem, anyone can lend me a hand, Thank YOU if you try or help :)

If {} is an arithmetic sequence, = 1, and = 625, evaluate:
+++...+

aboslutelydestroying Apr 7, 2024

+1

15

2

+302

Please help, Thank YOU if you try :)

A four-digit natural number "abcd" is "balanced" if a + d = b + c. What is the probability that it is a "balanced" if a four-digit natural number is randomly selected?

aboslutelydestroying Apr 7, 2024

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