All Questions ⁺⁰237428 Questions

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Hints only! (geometry question) This better not be like my last post where blackjackED was only person who could read the word HINTS.

In the diagram below, we have and . Find CD .

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Answerscorrectly Jul 22, 2024

Jul 21, 2024

0

33

2

+972

Algebra

One ordered pair (a,b) satisfies the two equations ab^4 = 48 and ab^2 = 4. What is the value of b in this ordered pair? (Note: you may have to use the Tab key to get your cursor into the middle answer box.)

Rangcr897 Jul 21, 2024

0

48

1

+972

Algebra

Find the coefficient of y^4 in the expansion of (2y-5+3y^2)^6.

Rangcr897 Jul 21, 2024

0

38

1

+972

Algebra

Find all real numbers a that satisfy \frac{1}{64a^3 + 7} - 7 = 0.

NotThatSmart ●

Rangcr897 Jul 21, 2024

0

24

2

+972

Algebra

Real numbers a and b satisfy
a + ab = 250
a - ab = -240
Enter all possible values of a, separated by commas.

Rangcr897 Jul 21, 2024

0

23

1

+829

Algebra

Find the area of the region enclosed by the graph of x^2+y^2=2x-6y+16+4x+12y+40

cooIcooIcooI17 Jul 21, 2024

0

16

1

+972

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).

Rangcr897 Jul 21, 2024

0

27

1

+972

Algebra

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

Rangcr897 Jul 21, 2024

0

35

2

+900

Algebra

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

eramsby1O1O Jul 21, 2024

0

24

1

+900

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 ..

eramsby1O1O Jul 21, 2024

0

28

1

+4

Algebra

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

bluacijr Jul 21, 2024

0

30

1

+1855

Geometry

Let $a$ and $b$ be real numbers, where $a < b$, and let $A = (a,a^2)$ and $B = (b,b^2)$. The line $\overline{AB}$ (meaning the unique line that contains the point $A$ and the point $B$) has slope $2$. Find $a + b$.

NotThatSmart ●

ABJeIIy Jul 21, 2024

+1

29

1

+1855

Geometry

Let $O$ be the origin. Points $P$ and $Q$ lie in the first quadrant. The slope of line segment $\overline{OP}$ is $4,$ and the slope of line segment $\overline{OQ}$ is $5.$ If $OP = OQ,$ then compute the slope of line segment $\overline{PQ}.$
Note: read more ..

ABJeIIy Jul 21, 2024

0

34

1

+1855

Geometry

Points $A,$ $B,$ and $C$ are given in the coordinate plane. There exists a point $Q$ and a constant $k$ such that for any point $P$,
PA^2 + PB^2 + PC^2 = 3PQ^2 + k.
If $A = (7,-11),$ $B = (10,13),$ and $C = (18,-22)$, then find the constant read more ..

ABJeIIy Jul 21, 2024

0

33

1

+1855

Geometry

Let $x$ and $y$ be real numbers. If $x$ and $y$ satisfy
x^2 + y^2 = 4x - 8y + 17x - 5y + 25,
then find the largest possible value of $x.$ Give your answer in exact form using radicals, simplified as far as possible.

ABJeIIy Jul 21, 2024

+1

29

1

+1855

Geometry

Let $ABCDEFGH$ be right rectangular prism. The total surface area of the prism $15.$ Also, the sum of all the edges of the prism is $17.$ Find the length of the diagonal joining one corner of the prism to the opposite corner.

ABJeIIy Jul 21, 2024

0

32

1

+1855

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.</ read more ..

ABJeIIy Jul 21, 2024

0

25

2

+1855

Geometry

In triangle $ABC$, let the perpendicular bisector of $BC$ intersect $BC$ and $AC$ at $D$ and $E$, respectively. If $BC = 20$ and $\angle C = 15^\circ$, then find the length of $BE$.

ABJeIIy Jul 21, 2024

0

34

1

+1855

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.</ read more ..

ABJeIIy Jul 21, 2024

Jul 20, 2024

0

40

1

+1855

Geometry

Find the total surface area and the volume of the conical frustum below.

ABJeIIy Jul 20, 2024

0

27

1

+1855

Geometry

A plane and a sphere intersect in a circle. The circle has an area of $25 \pi$. The distance between the plane and the center of the sphere is $5$ units. Find the surface area of the sphere.

ABJeIIy Jul 20, 2024

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