All Questions ⁺⁰237826 Questions

0

38

2

+282

Imaginary Numbers...

Compute (1 + i)/(2 - i)(3 + i).

BRAINBOLT Aug 21, 2024

0

59

1

+1004

Algebra

I drove to the beach at a rate of $40$ miles per hour. If I had driven at a rate of $55$ miles per hour instead, then I would have arrived $25$ minutes earlier. How many miles did I drive?

Hi6942O Aug 21, 2024

0

41

1

+1004

Algebra

I have to paint one side of a wall. The wall is $15$ meters tall and $60$ meters long. Each gallon of paint covers $400$ square feet. If a foot is approximately $0.3048$ meters, then what is the smallest whole number of gallons I can buy and read more ..

Hi6942O Aug 21, 2024

0

63

0

+616

Algebra

Let a be a real number such that a + \frac{1}{a} + a^2 + \frac{1}{a^2} = 0. Find a^5.

onyuIee Aug 21, 2024

0

53

1

+616

Algebra

At a cafeteria, Mary orders two pieces of toast and a bagel, which comes out to 3.15. Gary orders a bagel and four muffins, which comes out to 7.85. Larry orders a piece of toast, two bagels, and three muffins, which comes out to 9.75. read more ..

onyuIee Aug 21, 2024

0

59

1

+616

Algebra

In Linguistics $101,$ the ratio of the number of juniors to the number of seniors is $3:2$. When twelve more juniors join the class, and one senior drops the class, the ratio of the number of juniors to the number of seniors becomes $2:1$. How read more ..

onyuIee Aug 21, 2024

0

23

1

+40

help!

If x(x+y) = x^2 + 8, what is the value of xy?

onyulee Aug 21, 2024

0

42

1

+1837

Algebra

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.

blackpanther Aug 21, 2024

0

33

2

+63

Logarithms Help

Let x,and y be positive real numbers that satisfy:

The value of can be expressed in the form , where and are relatively prime positive integers. Find p+q.

MeldHunter Aug 21, 2024

Aug 20, 2024

0

64

2

+750

Algebra

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 Aug 20, 2024

0

73

0

+750

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 Aug 20, 2024

0

39

1

+1837

Counting

Franklin the fly starts at the point (0, 0) in the coordinate plane. At each point, Franklin takes a step to the right, left, up, or down. After 12 steps, how many different points could Franklin end up at?

blackpanther Aug 20, 2024

0

39

1

+1837

Counting

Find the coefficient of u^2*v^9 in (2u - 3*v^3)*5*(3u^3 - 2v^5)^3.

blackpanther Aug 20, 2024

0

39

1

+2730

Geometry

In triangle ABC, angle B = 90 degrees. Point X is on line AC such that angle BXA = 90 degrees, AX = 15, and CX = 5. What is BX?

LiIIiam0216 Aug 20, 2024

0

56

0

+2730

Geometry

In triangle ABC, angle A = p + 2q degrees, angle B = 6p - 5q degrees, and angle C = 14p + 8q degrees. Find p (in degrees) in terms of q.

LiIIiam0216 Aug 20, 2024

0

50

1

+2730

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 $AB = 20$, $AC = 20$, and BC read more ..

LiIIiam0216 Aug 20, 2024

0

55

1

+279

Geometry

In quadrilateral $BCED$, sides $\overline{BD}$ and $\overline{CE}$ are extended past $B$ and $C$, respectively, to meet at point $A$. If $BD = 18$, $BC = 18$, $CE = 6$, $AC = 14$ and $AB = 10$, then what is $DE$?

fjeihqoO Aug 20, 2024

0

69

0

+279

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 $AF = 1$ and $DF = 2$, then what is $BD$?

fjeihqoO Aug 20, 2024

Aug 19, 2024

0

80

0

+2730

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.

LiIIiam0216 Aug 19, 2024

0

68

0

+2730

Geometry

Points $X$, $Y$, and $Z$ are on the sides $\overline{QR}$, $\overline{PR}$, and $\overline{PQ}$, respectively, of right triangle $PQR$ such that $PZXY$ is a square. If $PQ = 6$ and $PR = 6$, then what is the side length of the square?

LiIIiam0216 Aug 19, 2024

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