All Questions ⁺⁰236075 Questions

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19

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+948

Geometry

In triangle $ABC,$ let the angle bisectors be $\overline{BY}$ and $\overline{CZ}$. Given $AB = 12$, $AY = 12$, and $AC = 12$, find $BC$.

Rangcr897 Jun 7, 2024

0

14

0

+948

Geometry

In triangle $ABC,$ let the angle bisectors be $\overline{BY}$ and $\overline{CZ}$. Given $AB = 12$, $AY = 12$, and $AC = 12$, find $BZ$.

Rangcr897 Jun 7, 2024

0

16

1

+948

Geometry

Triangle ABC is rotated completely around side BC, sweeping out a solid in space. Find the volume of the solid.
AB = 8, AC = 12, CB = 8

Rangcr897 Jun 7, 2024

0

22

1

+948

Geometry

In quadrilateral $BCED$, sides $\overline{BD}$ and $\overline{CE}$ are extended past $B$ and $C$, respectively, to meet at point $A$. If $BD = 8$, $BC = 3$, $CE = 1$, $AC = 19$ and $AB = 13$, then what is $DE$?

Rangcr897 Jun 7, 2024

0

15

1

+842

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.

RedDragonl Jun 7, 2024

0

15

1

+743

Geometry

Points $L$ and $M$ lie on a circle $\omega_1$ centered at $O$. The circle $\omega_2$ passing through points $O,$ $L,$ and $M$ is drawn. If the measure of arc $LM$ in circle $\omega_1$ is $90^\circ,$ and the radius of $\omega_1$ is 1, then find read more ..

bingboy Jun 7, 2024

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13

1

+743

Geometry

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

bingboy Jun 7, 2024

Jun 6, 2024

0

24

1

+743

Geometry

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

bingboy Jun 6, 2024

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18

1

+743

Geometry

Trapezoid $ABCD$ is inscribed in the semicircle with diameter $\overline{AB}$, as shown below. Find the radius of the semicircle. Find the area of ABCD.
PQDC is a square. read more ..

NotThatSmart ●

bingboy Jun 6, 2024

0

11

1

+667

Graph

Find the area of the region enclosed by the graph of x^2+y^2=2x-6y+16+14x-4y+20

NotThatSmart ●

siIviajendeukie Jun 6, 2024

0

17

1

+667

Graphing

The graph of $y = ax^2 + bx + c$ has an axis of symmetry of $x = 2.$ If $(4,7)$ lies on the graph, find another point on the graph.

siIviajendeukie Jun 6, 2024

+2

14

0

+1938

Web3.0calc Part 2

Here's Part 1 if you haven't seen it yet
https://web2.0calc.com/questions/challenge-question-good-luck
Alright! Time for part 2
Take the answer you got from part 1. read more ..

NotThatSmart Jun 6, 2024

0

7

2

+667

Graphing

The parabola $y = ax^2 + bx + c$ is graphed below. Find $a \cdot b \cdot c.$ (The grid lines are one unit apart.) read more ..

siIviajendeukie Jun 6, 2024

-1

10

1

+667

Coordinates

Find the coordinates of the center of the circle.

siIviajendeukie Jun 6, 2024

+1

20

1

+28

HELP

Let $A$, $B$, and $C$ be constants so that \[\frac{1}{x^3-x^2-21x+45}=\frac{A}{x+5}+\frac{B}{x-3} + \frac{C}{(x - 3)^2}\]holds for all real numbers $x$ other than $-5$ and $3.$ What is $A$?

wassyo Jun 6, 2024

+1

10

1

+28

HELP

Suppose $f(x)$ is a function defined for all real $x$, and suppose $f$ is invertible (that is, $f^{-1}(x)$ exists for all $x$ in the range of $f$). If the graphs of $y=f(x^2)$ and $y=f(x^4)$ are drawn, at how many points do they intersect?

wassyo Jun 6, 2024

+1

8

3

+23

How do you find the maximum value of inequalities?

Let $f(a) = \frac{13+a}{3a+7}$ where $a$ is restricted to positive integers. What is the maximum value of $f(a)$?
I gave up on this problem. The solution said you can write the function as:
\[f(a) = \frac{\frac13 (3a+7)}{3a+7} read more ..

Coolmonkey Jun 6, 2024

+1

20

1

+23

Help!! I got an answer for this problem, but I don't understand it. Inequality

Let $x$ be a real number such that $x^2 + 7x + 12 \le 0.$ Find the largest possible value of $x^2 + 5x + 6.$
I gave up on this problem. The solution stated that once you factor the quadratic in the function (x+4)(x+3) and, you get -4<= read more ..

Coolmonkey Jun 6, 2024

0

11

1

+667

Algebra

For an integer n, the inequality
x^2 + nx + 15 < -89 - 3x^2
has no real solutions in $x$. Find the number of different possible values of $n$.

siIviajendeukie Jun 6, 2024

0

33

0

+667

Geometry

Point $P$ is on side $\overline{AC}$ of triangle $ABC$ such that $\angle APB =\angle PBA$, and $\angle ABC - \angle ACB = 24^\circ$. Find $\angle PBC$ in degrees.

siIviajendeukie Jun 6, 2024

0

14

1

+667

Algebra

Let a and b be real numbers such that a^3 + 3ab^2 = 679 and 3a^3 - ab^2 = 615. Find a - b.

siIviajendeukie Jun 6, 2024

0

16

1

+948

Geometry

In triangle $ABC$, points $D$ and $F$ are on $\overline{AB},$ and $E$ is on $\overline{AC}$ such that $\overline{DE}\parallel \overline{BC}$ and $\overline{EF}\parallel \overline{CD}$. If $CE =3$ and $DF = 3$, then what is $BD$?

Rangcr897 Jun 6, 2024

0

11

1

+842

Geometry

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

RedDragonl Jun 6, 2024

0

17

0

+842

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 ..

RedDragonl Jun 6, 2024

0

6

1

+842

Geometry

A rectangle contains a strip of width $1,$ as shown below. Find the area of the strip.

RedDragonl Jun 6, 2024

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