All Questions ⁺⁰237170 Questions

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43

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counting problem

In the array below, in how many different ways can we start with the letter A and move from letter to letter (horizontally, vertically, or diagonally), to spell the word "ARCH"?
A
RRR
&read more ..

maximum Nov 28, 2023

0

55

3

+4

Help Pls!

Find a linear inequality with the following solution set. Each grid line represents one unit.

(Give your answer in "standard form" ax + by read more ..

Cutiecupcake Nov 28, 2023

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74

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+1678

help with trapezoid

Let $ABCD$ be a trapezoid with bases $\overline{AB}$ and $\overline{CD}.$ Let $P$ be a point on side $\overline{CD},$ and let $X,$ $Y$ be the feet of the altitudes from $P$ to $\overline{AD},$ $\overline{BC}$ respectively. Prove that if $AB= 5,$ $CD= read more ..

wiseowl Nov 28, 2023

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54

0

+1678

parallelogram

In parallelogram $EFGH,$ let $M$ be the point on $\overline{EF}$ such that $FM:ME = 1:1,$ and let $N$ be the point on $\overline{EH}$ such that $HN:NE = 1:1.$ Line segments $\overline{FH}$ and $\overline{GM}$ intersect at $P,$ and line segments $\overline{FH}$ read more ..

wiseowl Nov 28, 2023

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69

0

+1678

trapezoid

In trapezoid $PQRS,$ $\overline{PQ} \parallel \overline{RS}$. Let $X$ be the intersection of diagonals $\overline{PR}$ and $\overline{QS}$. The area of triangle $PQX$ is $2,$ and the area of triangle $RSX$ is $2.$ Find the area of trapezoid read more ..

wiseowl Nov 28, 2023

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30

1

+1678

trapezoid

In trapezoid $ABCD,$ $\overline{AB} \parallel \overline{CD}$. Find the area of the trapezoid.

wiseowl Nov 28, 2023

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61

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+1678

help with parallelogram

Quadrilateral $ABCD$ is a parallelogram. Let $E$ be a point on $\overline{AB},$ and let $F$ be the intersection of lines $DE$ and $BC.$ The area of triangle $EBF$ is $4,$ and the area of triangle $EAD$ is $4.$ Find the area of parallelogram read more ..

wiseowl Nov 28, 2023

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31

1

+1678

trapezoid

In trapezoid $EFGH,$ $\overline{EF} \parallel \overline{GH},$ and $P$ is the point on $\overline{EH}$ such that $EP:PH = 1:2$. If the area of triangle $PEF$ is $4$, and the area of triangle $PGH$ is $4$, then find the area of trapezoid $EFGH$. read more ..

wiseowl Nov 28, 2023

0

64

0

+1678

trapezoid

Let $WXYZ$ be a trapezoid with bases $\overline{XY}$ and $\overline{WZ}$. In this trapezoid, $\angle ZXW = 120^\circ$, $\angle XWZ = 60^\circ$, and $\angle XYZ = 120^\circ$. Find $\angle YXZ$, in degrees.

wiseowl Nov 28, 2023

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50

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+1678

trapezoid

The area of a trapezoid is $80$. The length of one base is $16$ units greater than the other base, and one base of the trapezoid is $12$. Find the length of the median of the trapezoid.

wiseowl Nov 28, 2023

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78

0

+1678

quadrilateral

A quadrilateral has angles of $q$, $4q + 17^\circ $, $8q + 21^\circ$, and $15q + 148^\circ $. Find the largest angle of the quadrilateral, in degrees.

wiseowl Nov 28, 2023

-1

58

0

+1734

graphing

What are the coordinates of the points where the graphs of $f(x)=x^3 + x^2 - 3x + 5$ and $g(x)=x^4-7x^3+5x^2-18x+17$ intersect?
Give your answer as a list of points separated by commas, with the points ordered such that read more ..

blackpanther Nov 28, 2023

-1

51

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+1734

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 $x$-intercept $(10,0)$ and $y$-intercept $(0,-2)$. Find read more ..

blackpanther Nov 28, 2023

Nov 27, 2023

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41

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+4

Python Problem

Consider the following 20-by-20 grid of numbers:

08 02 22 97 38 15 00 40 00 75 04 05 07 78 52 12 50 77 91 08 49 49 99 40 17 81 18 57 60 87 17 40 98 43 69 48 04 56 62 00 81 49 31 73 55 79 14 29 93 71 40 67 53 88 30 03 49 13 36 65 52 70 read more ..

NotSoNewUser Nov 27, 2023

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68

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+1926

help me plz

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 $c$.

tomtom Nov 27, 2023

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59

0

+1926

plz help

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

tomtom Nov 27, 2023

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49

0

+1926

functions

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 ..

tomtom Nov 27, 2023

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62

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+1926

Real numbers

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

tomtom Nov 27, 2023

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