All Questions ⁺⁰236007 Questions

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22

1

+1557

Geometry

A quadrilateral has angles of $q$, $4q + 17^\circ $, $8q + 21^\circ$, and $15q + 148^\circ $. Find the largest angle of the quadrilateral, in degrees.

parmen May 14, 2024

0

15

2

+68

Precalculus help

Then what is vector AB? Help :3

LearningCat May 14, 2024

0

26

0

+842

System

For certain values of $k$ and $m,$ the system
a + 2b = -3 - 7a + b,
4a + 2b = k - 5a - mb
has infinitely many solutions $(a,b).$ What are $k$ and $m?$

RedDragonl May 14, 2024

0

30

0

+842

System

Find the ordered pair (s, t) that satisfies the system
(s/2) + 5t =3 - 7t + 8s
3t - 6s = 9 - 2t

RedDragonl May 14, 2024

0

20

1

+868

Algebra

In an arithmetic sequence, the 23rd term is $\frac{1}{4},$ and the $33$rd term is $-\frac{1}{5}$. What is the $43$rd term?

eramsby1O1O May 14, 2024

0

16

1

+1557

Geometry

In right triangle $ABC,$ $\angle C = 90^\circ$. Median $\overline{AM}$ has a length of 1, and median $\overline{BN}$ has a length of 1. What is the length of the hypotenuse of the triangle?

parmen May 14, 2024

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20

1

+1557

Geometry

In triangle $PQR,$ $M$ is the midpoint of $\overline{QR}.$ Find $PM.$
PQ = 5, PR = 8, QR = 11

parmen May 14, 2024

0

15

1

+68

Precalc help

Let u and v be vectors such that ||u||=3 and ||v||=2 such that the angle between u and v when placed tail to tail is 60 degrees.
Let A be a matrix such that row_1(A)=u and row_2(A)=v.
Then what are Au, Av in that order? (Your answers read more ..

LearningCat May 14, 2024

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24

0

+1557

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 $BD$?

parmen May 14, 2024

0

22

1

+868

Algebra

In a geometric sequence, the 23rd term is 16 and the 24th term is 1/4. What is the 30th term?

eramsby1O1O May 14, 2024

0

19

1

+1557

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 $DE$?

parmen May 14, 2024

0

17

2

+868

Algebra

Find the sum of all positive integers less than 1000 ending in 3 or 4 or 6 or 9.

eramsby1O1O May 14, 2024

0

20

1

+1557

Geometry problem

In the triangle shown, what is the positive difference between the greatest and least possible integral values of $x$?

Two of the sides are 14 and 19.

parmen May 14, 2024

0

30

0

+868

help with algebra

A geometric sequence has $400$ terms. The first term is $1000$ and the common ratio is $-\frac{8}{9}.$ How many terms of this sequence are greater than $1?$

eramsby1O1O May 14, 2024

0

12

1

+868

Algebra

When the same constant is added to the numbers $60,$ $120,$ and $140,$ a three-term geometric sequence arises. What is the common ratio of the resulting sequence?

eramsby1O1O May 14, 2024

+1

24

2

+86

Simon's Favorite Factoring Trick Problem

If x and y are positive integers for which , then what is x + y?

eramsby1010 May 14, 2024

0

25

0

+868

Algebra

Let $a_1,$ $a_2,$ $a_3,$ $\dots,$ $a_{10},$ $a_{11},$ $a_{12}$ be an arithmetic sequence. If $a_1 + a_3 + a_5 = 22$ and $a_2 + a_4 = 17$, then find $a_1$.

eramsby1O1O May 14, 2024

0

37

0

+1234

Algebra

Let x and y be complex numbers. If x + y = 2 and xy = 5 - x^2 - y^2, then what is x^2 + y^2?

Akhain1 May 14, 2024

0

27

0

+1234

Algebra

Let a and b be complex numbers. If a + b = 4 and a^2 + b^2 = 6 + ab, then what is a^3 + b^3?

Akhain1 May 14, 2024

0

16

1

+1234

Algebra

Let f(x) = \sqrt{x}
Find the largest three-digit value of x such that f(x) is an integer.

Akhain1 May 14, 2024

0

22

0

+1234

Algebra

Compute
\frac{1}{1 \times 4} + \frac{1}{7 \times 10}

Akhain1 May 14, 2024

-1

39

0

+1839

Algebra

Let a be a real number such that a - \frac{1}{a} = 4 + a^2 + \frac{1}{a^2}. Compute a^3 - \frac{1}{a^3}.

ABJeIIy May 14, 2024

-1

24

0

+1839

Algebra

Let a1, a2, a3, ... be a sequence. If an = a_{n - 1} + a_{n - 2} for all n >= 3, and a_{11} = 1 and a_1 = 4, then find a_6.

ABJeIIy May 14, 2024

-1

26

0

+1839

Algebra

Find the value of
\cfrac{1}{1 + \cfrac{1}{4 + \cfrac{1}{2}}

ABJeIIy May 14, 2024

-1

37

0

+1839

Algebra

Compute the sum 1/sqrt(36) + 1/sqrt(39) + 1/sqrt(42).

ABJeIIy May 14, 2024

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