All Questions ⁺⁰237750 Questions

Oct 21, 2024

0

60

0

+750

Algebra

The function f(x) is defined for 1 \le x \le 5 as follows:
f(x) = 2x + 8 if 1 \le x \le 2
f(x) = 13 - 5x if 2 < x \le 3
f(x) = 20 - 14x if 3 < x \le 4 read more ..

siIviajendeukie Oct 21, 2024

0

65

0

+750

Algebra

The parabola $y = ax^2 + bx + c$ is graphed below. Find $a+b+c$. (The grid lines are one unit apart.)
The parabola goes through (-5,0), (0,3), and (4,0).

siIviajendeukie Oct 21, 2024

0

61

0

+750

Algebra

Find the vertex of the graph of the equation x - y^2 + 8y = 13 + 2y - 4x + 15y + 3y^2.

siIviajendeukie Oct 21, 2024

0

52

0

+750

Algebra

Find the vertex of the graph of the equation y = -2x^2 + 8x - 15 + 6x^2 + 14x + 28.

siIviajendeukie Oct 21, 2024

0

61

0

+750

Algebra

Find the area of the region enclosed by the graph of x^2 + y^2 = 2x - 6y + 6 + 8x - 2y - 5x + 8y + 208.

siIviajendeukie Oct 21, 2024

+1

44

1

+1301

Geometry

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 6, and the area of triangle PGH is 6, then find the area of trapezoid EFGH.

AnswerscorrectIy Oct 21, 2024

+1

35

2

+1301

Geometry

A circular table is pushed into a corner of the room, where two walls meet at a right angle. A point P on the edge of the table (as shown below) has a distance of 6 from one wall, and a distance of 6 from the other wall. Find the radius of the read more ..

AnswerscorrectIy Oct 21, 2024

0

66

0

+1301

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 $AB$?

AnswerscorrectIy Oct 21, 2024

0

62

0

+1301

Geometry

In triangle $ABC$, $AB = 10$ and $AC = 15$. Let $D$ be the foot of the perpendicular from $A$ to $BC$. If $BD:CD = 1:3$, then find $AD$.

AnswerscorrectIy Oct 21, 2024

0

67

0

+1524

Counting

Find the number of ways that Magnus can give out $10$ identical stickers to $9$ of his friends, if every friend gets at least one sticker.

learnmgcat Oct 21, 2024

0

56

1

+1524

Counting

Find the number of ways that Magnus can give out $10$ identical stickers to $9$ of his friends. (Not everyone has to get a sticker.)

learnmgcat Oct 21, 2024

0

55

0

+1524

Counting

Simplify \frac{\dbinom{200}{75}}{\dbinom{200}{75}}.

learnmgcat Oct 21, 2024

0

45

0

+1004

Expand

Expand (x^2 + 1/x)*(x + x^4)^3.

Hi6942O Oct 21, 2024

0

53

0

+1004

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 $n$.

Hi6942O Oct 21, 2024

0

66

0

+1004

Geometry

Find the area of the region enclosed by the graph of x^2+y^2=2x-6y+6+14x-14y+28

Hi6942O Oct 21, 2024

0

58

1

+1004

Geometry

Find the coordinates of the center of the circle.

Hi6942O Oct 21, 2024

0

52

0

+279

Geometry

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

fjeihqoO Oct 21, 2024

0

46

1

+279

Geometry

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

fjeihqoO Oct 21, 2024

0

57

0

+1808

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 ..

blackpanther Oct 21, 2024

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