All Questions ⁺⁰234665 Questions

0

17

0

+400

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 $a_1$.

omgitsrne Feb 22, 2024

0

31

1

+400

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?

omgitsrne Feb 22, 2024

0

18

0

+400

Geometric Sequence

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 $1?$

omgitsrne Feb 22, 2024

0

21

0

+400

Sum

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

omgitsrne Feb 22, 2024

0

17

1

+400

Geometric Sequence

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

omgitsrne Feb 22, 2024

0

3

0

+400

Arithmetic sequence

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?

omgitsrne Feb 22, 2024

+3

18

1

+10

Genuine question here: what triangle congruence postulate is the most common?

I believe the most common is SAS congruency, from my experience.
do you guys agree?

Lxtricity987 Feb 22, 2024

0

26

0

+1475

System

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

parmen Feb 22, 2024

0

12

3

+50

Trouble with separating absolute value equations

Let z and w be complex numbers where |z| = 4 and |w| = 2. How do I find the values of |z + w|, |zw|, |z - w|, and |z/w|?

helloworldhello Feb 22, 2024

Feb 21, 2024

0

31

1

+1475

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 $m?$

parmen Feb 21, 2024

0

16

1

+400

Coordinates

Find the coordinates of the center of the circle below. Enter your answer as an ordered pair.

omgitsrne Feb 21, 2024

0

18

0

+400

Coordinates

Let k be a positive real number. The line x + y = 3k and the circle x^2 + y^2 = k - 4x - 6y are drawn. Find $k$ so that the line is tangent to the circle.

omgitsrne Feb 21, 2024

0

27

1

+145

Hi! I really need help in solving this qn.

Bob used 1/3 of his money to buy 4 similar caps and 5 similar pairs of shorts. He used 2/3 of the remaining money to buy another 16 caps. A pair of shorts cost $30 more than a cap.
(a) What fraction of the money did he have left?
(b) read more ..

sugabreaddoughman Feb 21, 2024

0

38

0

+1756

Coordinates

Find the area of the region enclosed by the graph of the equation $x^2-14x+3y+70=15+9y-y^2$ that lies below the line $y=x-3$.

bader Feb 21, 2024

0

28

0

+1756

Circles

The equation of a circle in the coordinate plane can be written as $Ax^2 + 2y^2 + Bx + Cy = 50.$ The center of the circle is at $(-5,2)$. Let $r$ be the radius of the circle. Find A+B+C+r.

bader Feb 21, 2024

0

17

1

+1756

Coordinates

Triangle $ABC$ has vertices $A(2, 3),$ $B(1, -8)$ and $C(-3, 2).$ The line containing the altitude through $A$ intersects the point $(0, y).$ What is the value of $y$?

bader Feb 21, 2024

Feb 20, 2024

0

39

0

+1756

circles

In triangle $ABC$, point $X$ is on side $\overline{BC}$ such that $AX = 13,$ $BX = 13,$ $CX = 5,$ and the circumcircles of triangles $ABX$ and $ACX$ have the same radius. Find the area of triangle $ABC$.

bader Feb 20, 2024

0

21

7

+52

another number theory question

Convert 0.0314 (the 14 repeating) to a fraction in simplest form.

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MEMEGOD Feb 20, 2024

0

23

2

+52

pls help

Convert repeating 0.296 to a fraction in simplest form.

MEMEGOD Feb 20, 2024

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