All Questions ⁺⁰236048 Questions

0

9

1

+1310

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 ..

NotThatSmart ●

learnmgcat May 31, 2024

0

13

0

+1310

Geometry

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

learnmgcat May 31, 2024

0

11

3

+149

Pls help

After school, Alan, Bala and Calvin went to buy snacks. They shared the bill equally. However, Calvin did not have enough money and had to ask his friends to pay for his share. The ratio of the amount of money Alan paid to the amount of money Bala paid read more ..

sugabreaddoughman May 31, 2024

0

23

0

+1310

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 ..

learnmgcat May 31, 2024

0

26

0

+1310

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 ..

learnmgcat May 31, 2024

0

21

1

+68

Precalc

Let the vectors i and j be defined as usual:
\[\mathbf{i} = \begin{pmatrix} 1 \\ 0 \end{pmatrix}, \mathbf{j} = \begin{pmatrix} 0 \\ 1 \end{pmatrix}.\]
Let A be a matrix such that Ai, Aj match the picture below:
read more ..

LearningCat May 31, 2024

0

17

1

+842

Algebra

Will and Grace are canoeing on a lake. Will rows at $50$ meters per minute and Grace rows at $30$ meters per minute. Will starts rowing at $2$ p.m. from the west end of the lake, and Grace starts rowing from the east end of the lake at $2{:}45$ p.m. read more ..

NotThatSmart ●

RedDragonl May 31, 2024

0

22

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 31, 2024

-5

18

1

+219

Algebra

Fill in the blanks to make a quadratic whose roots are 5 and -5.
x^2 + ___ x + ___

BRAlNBOLT May 31, 2024

0

12

3

+4

Unit 5 and 6 Conic Sections and Modeling with Geometry

1. A plane intersects one cone of a double-napped cone such that the plane is parallel to the generating line.
ellipse
hyperbola
parabola read more ..

aakita May 31, 2024

-4

22

1

+219

Algebra

Let a and b be the solutions to 5x^2 - 11x + 4 = 4x^2 - 17x + 6. Find 1/a^3 + 1/b^3.

BRAlNBOLT May 31, 2024

-4

15

1

+219

Algebra

Let u and v be the solutions to 3x^2 + 5x + 7 = 2x^2 + 11x - 6. Find u/v^2 + v/u^2.

BRAlNBOLT May 31, 2024

-4

13

1

+219

Algebra

Let a and b be the solutions to 7x^2 + x - 5 = -3x^2 - 9x - 4. Compute (a - 4)/(b - 4) + (b - 4)/(a - 4).

BRAlNBOLT May 31, 2024

+1

24

1

+21

help pls

Find all numbers for which the system of congruences
has a solution.

\begin{align*}
x &\equiv r \pmod{6}, \\
x &\equiv 9 \pmod{20}, \\<#> x &\equiv 4 \pmod{45}<#> \end{align*}
pls read more ..

Dysoncloud May 31, 2024

-5

25

1

+219

Geometry

In the diagram, ABCD is a square. Find PR.

L, M, N, O, are midpoints of sides.
Side AB = 12

BRAlNBOLT May 31, 2024

-5

20

1

+219

Geometry

Let $B,$ $A,$ and $D$ be three consecutive vertices of a regular $20$-gon. A regular heptagon is constructed on $\overline{AB},$ with a vertex $C$ next to $A.$ Find $\angle BAD,$ in degrees.

BRAlNBOLT May 31, 2024

0

12

1

+1310

Algebra

Seven years ago, Grogg's dad was $9$ times as old as Grogg. Four years ago, Grogg's dad was $6$ times as old as Grogg. How old is Grogg's dad currently?

learnmgcat May 31, 2024

0

17

1

+1310

Algebra

Pearl writes down seven consecutive integers, and adds them up. The sum of the integers is equal to 28/9 times the largest of the seven integers. What is the smallest integer that Pearl wrote down?

learnmgcat May 31, 2024

0

17

1

+68

Precalc

Find all 2 x 2 matrices A that have the property that for any 2 x 2 matrix B, \[\mathbf{A} \mathbf{B} = \mathbf{B} \mathbf{A}.\]

LearningCat May 31, 2024

0

21

1

+68

Precalc question

Let A and B be the following matrices:
A rotates vectors by $\frac{\pi}{4}$ counterclockwise,
B is matrix \begin{pmatrix} 1 & 1 \\ 0 & 1 \end{pmatrix}.
Calculate \[\mathbf{A}^{102} \mathbf{B}^{102} - \mathbf{B}^{102} \mathbf{A}^{102} read more ..

LearningCat May 31, 2024

-1

20

1

+1839

Counting

Raina places the following balls into a bag. She then draws three balls out of the bag, one at a time, without replacement. What is the probability that the colors of the balls alternate?
There are 3 orange balls and 2 purple read more ..

ABJeIIy May 31, 2024

-1

15

0

+1839

Counting

I have $3$ different mathematics textbooks, $2$ different psychology textbooks, and $2$ different chemistry textbooks. In how many ways can I place the $7$ textbooks on a bookshelf, in a row?

ABJeIIy May 31, 2024

0

14

2

+36

geometry

In triangle ABC, altitude AH and median BM intersect inside the triangle and are equal. If ∠ACB = 41 degrees, find the measure of ∠MBC.

cheeeeeeese May 31, 2024

-1

20

0

+1839

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

ABJeIIy May 31, 2024

May 30, 2024

0

25

1

+4

simplify exponents with no fractional exponents in the denominator

qp^_3/4r^5/4*p^_1/2q^2/3r^_4/3
need help!

NotThatSmart ●

Jjllanos622 May 30, 2024

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