All Questions ⁺⁰234669 Questions

-1

20

1

+1887

Polynomial

What is the greatest common factor of $(a^2 - 9)$ and $(3a^2 - 3a)$?

tomtom Mar 6, 2024

0

15

1

+52

PLEASE HELP

xXValeXx Mar 6, 2024

0

22

0

+52

PLEASE HELP

xXValeXx Mar 6, 2024

0

18

1

+52

PLEASE HELP

xXValeXx Mar 6, 2024

0

5

2

+52

What is the exact value of sin(cos−1(−√3/2))+tan−1(sin(−π/2))?

What is the exact value of sin(cos−1(−√3/2))+tan−1(sin(−π/2))?
A) 2+π/4
B) 2-π/4
C) -2+π/4 read more ..

xXValeXx Mar 6, 2024

0

18

1

+1341

Counting

Sam wants to color the three sides of an equilateral triangle. He has two different colors to choose from. In how many different ways can Sam color the sides of the triangle? (Two colorings are considered the same if one coloring can be read more ..

kittykat Mar 6, 2024

0

15

1

+2651

Complex Numbers

Solve for $z$ in the following equation: $2-3iz = 3 + 2z$.

LiIIiam0216 Mar 6, 2024

0

27

0

+2651

Quadratic

Let $p(x) = x^2 + ax + b,$ where $a$ and $b$ are real numbers. Find the number of ordered pairs $(a,b)$ such that $p(a) = p(b) = 1.$

LiIIiam0216 Mar 6, 2024

0

25

1

+2651

Inequality

Find all $x$ that satisfy the inequality $(2x+10)(x+3)<(3x+1)(x+6)$. Express your answer in interval notation.

LiIIiam0216 Mar 6, 2024

0

32

1

+556

Geometry

The vertices of triangle $ABC$ lie on the sides of equilateral triangle $DEF$, as shown. If $CD = 5$, $CE = BD = 4$, and $\angle ACB = 60^\circ$, then find $AE$.

booboo44 Mar 6, 2024

0

22

0

+556

Dilation

Let G be the center of equilateral triangle ABC A dilation centered at G with scale factor -1/5 is applied to triangle ABC to obtain triangle A'B'C' Let K be the area of the region that is contained in both triangles ABC and A'B'C' Find K/[ABC] read more ..

booboo44 Mar 6, 2024

0

18

1

+8

Need help: angle between two vectors formula PROOF

If a and b are both vectors, then cos(x) = (a*b)/(|a|*|b|).
I don't understand why this cos(x) equals the right side of the equation. Can somebody explain, or better yet, could somebody prove the formula?

albertthesav Mar 6, 2024

0

17

0

+673

Venn Diagram

I need a Venn Diagram for this
Dogs in the GoodDog Obedience School win a blue ribbon for learning how to sit, a green ribbon for learning how to roll over, and a white ribbon for learning how to stay. There are $100$ dogs in the school.
$58$ read more ..

magenta Mar 6, 2024

0

25

0

+673

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 5 skaters, including 2 Americans, in how many ways can the medals be awarded to three of the 5 skaters?

magenta Mar 6, 2024

0

24

1

+1475

Coefficient

What is the coefficient of $x$ in $(x^3 + x^2 + x + 1)(x^4 - 8x^3 + 17x^2 - 23x + 14)$?

parmen Mar 6, 2024

Mar 5, 2024

0

13

1

+4

Can anyone help me with this definite integral/Riemann sum question?

Can anyone help me answer this?
Write as the limit of a right Riemann sum with n subintervals of equal length.
Thanks in advance.

seekay8 Mar 5, 2024

0

13

2

+4

triangle hypotenuse problem

In right triangle $ABC,$ $\angle C = 90^\circ.$ Median $\overline{AM}$ has a length of $7,$ and median $\overline{BN}$ has a length of $6.$ What is the length of the hypotenuse of the triangle?

tmm88 Mar 5, 2024

0

28

0

+1756

Coordinates

Line $\ell$ is drawn in the coordinate plane below. If the slope of line $\ell$ is $2,$ then find the area of the triangle determined by the line and the coordinate axes.

bader Mar 5, 2024

0

20

1

+1756

Reflection

Point $A$ is reflected over the line shown below to point $B$. Find the coordinates of $B$.
Write your answer as an ordered pair $(x,y)$.
Point A is (5,7), and the line is y = x.

bader Mar 5, 2024

0

20

1

+1756

Triangle Inequality

All the sides of a triangle have integer length. The perimeter of the triangle is 5 and the triangle is isosceles. How many such non-congruent triangles are there?

bader Mar 5, 2024

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