All Questions ⁺⁰236046 Questions

-6

35

0

+219

Counting

In a row of five squares, each square is to be colored either red, yellow, or blue, so that no two consecutive squares have the same color. How many ways are there to color the five squares, so that at least one square is yellow, and at least one square read more ..

BRAlNBOLT May 25, 2024

-6

30

0

+219

Counting

In the Olympic women's skating competition, the gold medal goes to first place, silver to second, and bronze to third. If there are 19 skaters, including 2 Americans and 5 Canadians, in how many ways can the medals be awarded to three of the 19 skaters read more ..

BRAlNBOLT May 25, 2024

0

28

0

+868

Geometry

Find the coordinates of the center of the circle.
The points on the circle are (22,15), (-25,0), (22,-29).

eramsby1O1O May 25, 2024

0

13

0

+868

Geometry

In triangle $PQR$, let $M$ be the midpoint of $\overline{PQ}$, let $N$ be the midpoint of $\overline{PR}$, and let $O$ be the intersection of $\overline{QN}$ and $\overline{RM}$, as shown. If $\overline{QN}\perp\overline{PR}$, $QN = 1$, and $PR =1$, read more ..

eramsby1O1O May 25, 2024

0

35

0

+868

Geometry

In triangle $STU$, let $M$ be the midpoint of $\overline{ST},$ and let $N$ be on $\overline{TU}$ such that $\overline{SN}$ is an altitude of triangle $STU$. If $ST = 8$, $SU = 8$, $TU = 8$, and $\overline{SN}$ and $\overline{UM}$ intersect at $X$,
<read more ..

eramsby1O1O May 25, 2024

0

26

0

+868

Geometry

Altitudes $\overline{AD}$ and $\overline{BE}$ of acute triangle $ABC$ intersect at point $H$. If $\angle AHB = 144^\circ$ and $\angle BAH = 66^\circ$, then what is $\angle HCA$ in degrees?

eramsby1O1O May 25, 2024

0

26

0

+948

Geometry

Let P_1 P_2 P_3 \dotsb P_{10} be a regular polygon inscribed in a circle with radius $1.$ Compute
P_1 P_2 + P_2 P_3 + P_3 P_4 + \dots + P_9 P_{10} + P_{10} P_1

Rangcr897 May 25, 2024

0

21

0

+948

Geometry

In rectangle $EFGH$, let $M$ be the midpoint of $\overline{EF}$, and let $X$ be a point such that $MH = MX$, as shown below. If $\angle EFH = 30^\circ$ and $\angle MHX = 60^\circ,$ then find $\angle XHG,$ in degrees.

Rangcr897 May 25, 2024

0

27

0

+948

Geometry

The diagram below consists of a small square, four equilateral triangles, and a large square. Find the area of the large square.
read more ..

Rangcr897 May 25, 2024

0

21

0

+948

Geometry

Trapezoid $HGFE$ is inscribed in a circle, with $\overline{EF} \parallel \overline{GH}$. If arc $GH$ is $66$ degrees, arc $EH$ is $x^2 + 8x$ degrees, and arc $FG$ is $25 + 16x$ degrees, where $x > 0,$ find arc $EPF$, in degrees.

Rangcr897 May 25, 2024

0

24

0

+1521

Geometry

In the diagram below, SR = PQ = 20 and RT:TS = 2:5. Find UV.

blackpanther May 25, 2024

0

17

0

+1521

Geometry

In triangle $PQR,$ $M$ is the midpoint of $\overline{QR}.$ Find $PM.$

blackpanther May 25, 2024

0

20

0

+1521

Geometry

Point $D$ is the midpoint of median $\overline{AM}$ of triangle $ABC$. Point $E$ is the midpoint of $\overline{AB}$, and point $T$ is the intersection of $\overline{BD}$ and $\overline{ME}$. Find the area of triangle $BET$ if $AB = 20$, $AC = 20$, read more ..

blackpanther May 25, 2024

0

22

0

+1521

Geometry

In triangle $PQR$, let $M$ be the midpoint of $\overline{PQ}$, let $N$ be the midpoint of $\overline{PR}$, and let $O$ be the intersection of $\overline{QN}$ and $\overline{RM}$, as shown. If $\overline{QN}\perp\overline{PR}$, $QN = 1$, and $PR =1$, then read more ..

blackpanther May 25, 2024

0

9

2

+19

please help math

1. Let x be a real number such that x^2 + 7x + 12 <= 0. Find the largest possible value of x^2 + 5x + 6.
2. For 0 <= x <= 1, let f(x) = max{ x^2, 2x(1 - x), (1 - x)^2}.Find the minimum value of f(x) for read more ..

Tantheman May 25, 2024

-1

23

0

+1839

Algebra

For an integer n, the inequality
x^2 + nx + 15 < -21 - 7x + x^2
has no real solutions in x. Find the number of different possible values of n.

ABJeIIy May 25, 2024

-1

20

1

+1839

Algebra

Solve the inequality x^3 + 4x > 5x^2 + 28x + x^3. Write your answer in interval notation.

ABJeIIy May 25, 2024

0

18

5

+19

home work help

1.Let -4 <= x <= -2 and 2 <= y <= 4. Find the largest possible value of (x+y)/x
2. For all real numbers x, find the minimum value of (x + 12)^2 + (x + 7)^2 + (x + 3)^2 + (x - 4)^2 + (x - 8)^2
3. Find read more ..

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Tantheman May 25, 2024

0

16

3

+19

help solve

1. For a real number x, find the minimum value of x^4 - 2x^2.
2. Let a, b, c, be the numbers 1, 2, 3, in some order. Find the largest possible value of a + 2b + 3c.
3. Find the number of integers n that read more ..

Tantheman May 25, 2024

0

11

4

+19

math homework

1. Let a,b,c, and d be real numbers such that a > b and c > d. Enter the letters of the statements below that must be true, separated by commas.(A) a + c > b + d. (B) 2a + 3c > 2b + 3d. (C) a - c > b - d. (D) ac > bd. (E) read more ..

Tantheman May 25, 2024

0

27

0

+868

Geometry

Points $M$, $N$, and $O$ are the midpoints of sides $\overline{KL}$, $\overline{LJ}$, and $\overline{JK}$, respectively, of triangle $JKL$. Points $P$, $Q$, and $R$ are the midpoints of $\overline{NO}$, $\overline{OM}$, and $\overline{MN}$, respectively. read more ..

eramsby1O1O May 25, 2024

0

20

0

+868

Geometry

Let $M$, $N$, and $P$ be the midpoints of sides $\overline{TU}$, $\overline{US}$, and $\overline{ST}$ of triangle $STU$, respectively. Let $\overline{UZ}$ be an altitude of the triangle. If $\angle TSU = 60^\circ$ and $\angle STU = 45^\circ$, read more ..

eramsby1O1O May 25, 2024

0

25

0

+868

Geometry

Point $D$ is the midpoint of median $\overline{AM}$ of triangle $ABC$. Point $E$ is the midpoint of $\overline{AB}$, and point $T$ is the intersection of $\overline{BD}$ and $\overline{ME}$. Find the area of triangle $BET$ if $AB = 20$, $AC = 20$, read more ..

eramsby1O1O May 25, 2024

0

29

0

+868

Geometry

Altitudes $\overline{AP}$ and $\overline{BQ}$ of an acute triangle $\triangle ABC$ intersect at point $H$. What is the area of triangle $ABC$?

eramsby1O1O May 25, 2024

0

24

0

+842

Algebra

Determine all of the following for $f(x) \cdot g(x)$, where $f(x) = -x^2+ 8x - 5$ and $g(x) = x^3 - 11x^2 + 2x$.
Leading term
Leading coefficient
Degree read more ..

RedDragonl May 25, 2024

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