All Questions ⁺⁰236328 Questions

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Geometry

Find the coordinates of the center of the circle.
The points on the circle are (22,15), (-25,0), (22,-29).

bIueb3rry Aug 18, 2024

Aug 17, 2024

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9

1

+1839

Algebra

Let $a$ and $b$ be the roots of $x^2 + 7x - 4 = -x^2 + 9x + 6$. Find $(a + 3) + (b + 3).$

ABJeIIy Aug 17, 2024

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9

1

+1839

Algebra

One of the five quadratics below has a repeated root. (The other four have distinct roots.) What is the repeated root?
x^2 - 2x + 1
x^2 - 4x - 4
x^2 + 6x - 9 read more ..

ABJeIIy Aug 17, 2024

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15

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+823

Algebra

Let a_1, a_2, a_3, \dots, a_8, a_9, a_{10} be an arithmetic sequence. If $a_1 + a_3 = 5$ and $a_2 + a_4 = 6$, then find $a_1$.

booboo44 Aug 17, 2024

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16

2

+823

Algebra

When the same constant is added to the numbers $a,$ $b,$ and $c,$ a three-term geometric sequence arises. If $a = 60,$ $b = 100,$ and $c = 140,$ what is the common ratio of the resulting sequence?

booboo44 Aug 17, 2024

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10

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+823

Algebra

My street hockey team plays three games each week. My team lost all $9$ games in the first three weeks. Then, my team won one game and lost two games in the fourth week, bringing our record to $1$ win and $11$ losses. Each week after that, my team read more ..

booboo44 Aug 17, 2024

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15

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+823

Algebra

The product $(3-\sqrt{5})(4+\sqrt{5})(1+6\sqrt{5})$ can be expressed in the form $a+b\sqrt{5}$, where $a$ and $b$ are integers. Find $a+b$.

booboo44 Aug 17, 2024

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15

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+939

Counting

Find the number of 7-digit numbers, where the sum of the digits is divisible by 7.

AnswerscorrectIy Aug 17, 2024

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13

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+939

Counting

In how many ways can the numbers 1, 2, 3, 4, 5, 6 be arranged in a row, so that the product of any two adjacent numbers is at least 4?

AnswerscorrectIy Aug 17, 2024

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13

1

+2653

Algebra

The real numbers a and b satisfy a - b = 1 and a^3 - b^3 = 1.
(a) Find all possible values of ab.
(b) Find all possible values of a + b.
(c) Find all possible values of a and b.

LiIIiam0216 Aug 17, 2024

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19

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+2653

Algebra

I own a large truck, and my neighbor owns four small trucks that are all identical. My truck can carry a load of at least 600 pounds more than each of her trucks, but no more than 1/2 of the total load her four trucks combined can carry. Based on these read more ..

LiIIiam0216 Aug 17, 2024

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+2653

Algebra

Find the minimum value of 9^x - 2 \cdot 3^x + 1 over all real numbers x.

LiIIiam0216 Aug 17, 2024

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12

1

+2653

Algebra

Find one ordered pair $(x,y)$ of real numbers such that $x + y = 10$ and $x^3 + y^3 = 162 + x^2 + y^2.$

LiIIiam0216 Aug 17, 2024

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14

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+976

Geometry

In trapezoid $ABCD,$ $\overline{AB} \parallel \overline{CD}$. Find the area of the trapezoid.

Hi6942O Aug 17, 2024

Aug 16, 2024

0

9

1

+976

Geometry

Let $WXYZ$ be a trapezoid with bases $\overline{XY}$ and $\overline{WZ}$. In this trapezoid, $\angle ZXW = 120^\circ$, $\angle XWZ = 60^\circ$, and $\angle XYZ = 120^\circ$. Find $\angle YXZ$, in degrees.

Hi6942O Aug 16, 2024

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20

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+976

Geometry

In triangle ABC, the angle bisector of angle BAC meets BC at D, such that AD = AB. Line segment AD is extended to E, such that angle DBE = angle BAD = 17 degrees. Find angle ABD.

Hi6942O Aug 16, 2024

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17

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+2653

Geometry

In triangle $STU$, let $M$ be the midpoint of $\overline{ST},$ and let $N$ be on $\overline{TU}$ such that $\overline{SN}$ is an altitude of triangle $STU$. If $ST = 13$, $SU = 14$, $TU = 4$, and $\overline{SN}$ and $\overline{UM}$ intersect at $X$, read more ..

LiIIiam0216 Aug 16, 2024

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13

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+2653

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 $\angle TSU = 62^\circ$ and $\angle STU = 29^\circ$, read more ..

LiIIiam0216 Aug 16, 2024

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12

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+355

money

Chuck deposits 2000 into a bank account that compounds quarterly at an annual interest rate of 3% Assuming there are no other transactions, what will the balance be after 5 years, in dollars?
where ? are differe read more ..

Lilliam0216 Aug 16, 2024

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27

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+4

Pls help fast

Given two real numbers 1
I got q+p=4.5 but i dont know what to do next

jby17 Aug 16, 2024

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11

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+522

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 ..

onyuIee Aug 16, 2024

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12

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+2653

Probability

The six faces of a cube are painted black. The cube is then cut into 2^3 smaller cubes, all the same size. One of the small cubes is chosen at random, and rolled. What is the probability that when it lands, the face on the top is black?

LiIIiam0216 Aug 16, 2024

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18

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+1520

help probability

A member of the junior varsity swim team will be elected as President. Each member is equally likely to be elected. The probability that a sophomore is elected is 1/1 times the probability that a freshman is elected. Everyone on the junior varsity swim read more ..

kittykat Aug 16, 2024

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