All Questions ⁺⁰236007 Questions

0

19

0

+785

help plz

Find all the solutions to
\frac{x+4}{x+5} = \frac{x-3}{2} + \frac{x + 7}{5}

gnistory Aug 4, 2024

0

12

1

+785

need help

The roots of Ax^2+Bx+1 are the same as the roots of (x - 2)(x + 2). What is A+B?

gnistory Aug 4, 2024

Aug 3, 2024

0

10

1

+60

Halp Asap!

All sacks of sugar have the same weight. All sacks of flour also have the same weight, but not necessarily the same as the weight of the sacks of sugar. Suppose that two sacks of sugar together with five sacks of flour weigh no more than $60$ pounds, and read more ..

ghistory Aug 3, 2024

0

18

1

+598

Geometry

Two circles intersect at two points, $P$ and $Q$. The equations of the two circles are $x^2 + (y - 1)^2 = 1$ and $(x - 1)^2 + y^2 = 1$. Find the length PQ.

cooIcooIcooI17 Aug 3, 2024

0

13

0

+506

Algebra

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

onyuIee Aug 3, 2024

0

15

1

+310

Geometry

A line and a circle intersect at $A$ and $B,$ as shown below. Find the distance between $A$ and $B$.
The line is x = 4, and the equation of the circle is x^2 + y^2 = 25.

MEMEG0D Aug 3, 2024

0

17

0

+1839

Number Theory

Find the inverse of $8$ modulo $371.$

ABJeIIy Aug 3, 2024

0

12

0

+1839

Number Theory

Find the inverse of $3$ modulo $10271$.

ABJeIIy Aug 3, 2024

0

11

1

+1839

Number Theory

Find a six-digit multiple of $64$ that consists only of the digits $2$ and $4$.

ABJeIIy Aug 3, 2024

0

8

1

+355

When $N$ is divided by $10$, the remainder is $a$. When $N$ is divided by $17$, the remainder is $b$. What is $N$ modulo $170$, in terms of

When is divided by 10, the remainder is . When is divided by 17, the remainder is . What is modulo 170, in terms of and ? (Your answer should be in the form , where and are replaced by nonnegative integers less than 170.)<read more ..

Lilliam0216 Aug 3, 2024

0

13

2

+38

Archimedean Spiral PLEASE HELP

Consider the graph of for given in radians, also known as the Archimedean spiral. Prove that the consecutive intersection points of this graph with any ray whose initial point is the origin are equidistant from each other. What is read more ..

JRFPLSHelp Aug 3, 2024

0

16

0

+1839

Number Theory

The number $N$ is a multiple of $7$. The base $2$ representation of $N$ is
111100111010001ABC01_2.
Compute $A,$ $B,$ and $C$.

ABJeIIy Aug 3, 2024

0

8

1

+1839

Number Theory

A school orders $99$ textbooks, all for the same price. When the bill for the total order comes, the first and last digits are obscured. What are the missing digits?
$_5801.3_

ABJeIIy Aug 3, 2024

0

7

1

+1310

Algebra

One ordered pair $(a,b)$ satisfies the two equations $ab^4 = 48$ and $ab^3 = 24$. What is the value of b in this ordered pair?

learnmgcat Aug 3, 2024

0

17

3

+2653

Algebra

Find all values of $x$ such that $x^2 - 5x + 4 = -x^2 - 25x - 14$. If you find more than one value, then list your solutions, separated by commas.

LiIIiam0216 Aug 3, 2024

0

9

1

+1310

Algebra

Find the constant k such that the quadratic 2x^2 + 3x + 8x - x^2 + 4x + k has a double root.

learnmgcat Aug 3, 2024

0

20

0

+842

Algebra

Let $a$ and $b$ be complex numbers. If $a + b = 1$ and $a^2 + b^2 = 2,$ then what is $a^3 + b^3?$

RedDragonl Aug 3, 2024

0

10

0

+948

Algebra

Let $a_1,$ $a_2,$ $a_3,$ $\dots$ be a sequence. If
\[a_n = a_{n - 1} + a_{n - 2}\]
for all $n \ge 3,$ and $a_{11} = 1$ and $a_{10} = 4,$ then find $a_6.$

Rangcr897 Aug 3, 2024

0

7

5

+5

please help asap

In triangle ABC, points D and F are on and E is on such that and . If AF = 7 and DF = 2, then what is BD?
second question:
In quadrilateral BCED, sides and are read more ..

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himboi3232 Aug 3, 2024

0

11

0

+2653

Geometry

In triangle $ABC$, $\angle ABC = 90^\circ$, and $D$ is on side $\overline{BC}$ such that $\overline{AD}$ bisects $\angle BAC$. If $AB = 4,$ $BC = 3$, and $AC = 5,$ then find the area of $\triangle ADC$. Round your answer to the nearest integer.

LiIIiam0216 Aug 3, 2024

0

13

0

+2653

Geometry

Point D is the midpoint of median AM of triangle ABC. Point E is the midpoint of AB, and point T is the intersection of BD and ME. Find the area of triangle BEC if [ABC] = 14.

LiIIiam0216 Aug 3, 2024

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