All Questions ⁺⁰237827 Questions

0

227

1

Algebra

Let a and b be real numbers such that a + b = 4 and a^4 + b^4 = 16.
(a) Find all possible values of ab
(b) Find all possible values of a + b
(c) Find all possible values of a and b

Guest Oct 23, 2022

0

217

1

geometry

Minor arc AB in the diagram is 30 and the radius of the circle is 6. Find the area of circular segment AB.

Guest Oct 23, 2022

0

204

0

geometry

A rectangular building is 4 meters by 6 meters. A dog is tied to a rope that is 8 meters long, and the other end is tied to the midpoint of one of the long sides of the building. Find the total area of the region that the dog can reach (not including the read more ..

Guest Oct 23, 2022

0

251

1

In this problem, all angles are measured in degrees. Find the smallest angle x such that x>90 and

In this problem, all angles are measured in degrees. Find the smallest angle x such that x>90 and

6tan^2(5x-3)=2

Guest Oct 23, 2022

0

182

0

coordinates

Find an equation of the line passing through the pair of points (4.9) and (3,5). Write the equation in the form AX + By = C.

Guest Oct 23, 2022

+1

236

2

+17

Help ASAP!

Below is a portion of the graph of a quadratic function, y = q(x) = ax^2 + bx + c:

The value of q(15) is an integer. What is that integer? read more ..

bugmenot Oct 23, 2022

0

217

5

+47

Quick Question

Hey y'all, it's me again.

Points M, N, and O are the midpoints of sides KL, LJ, and JK, respectively, of triangle JKL. Points P, Q, and R are the midpoints of NO, OM, and MN, respectively. If the area of triangle PQR is read more ..

●●●●●

Qube73 Oct 23, 2022

0

262

1

+47

Quick Question

Hey y'all,

Triangle ABC is a right triangle with BAC = 90 and B is greater than C. Suppose AP is an altitude of the triangle, AQ is an angle bisector of the triangle, and AR is a median of the triangle, read more ..

Qube73 Oct 23, 2022

0

233

1

Number theory

As n ranges over the positive integers, what is the maximum possible value that the greatest common divisor of 13n+8 and 5n+3 can take?

Guest Oct 23, 2022

0

226

1

help graphing

How many points of the form (x,y), where both coordinates are positive integers, lie below the graph of the hyperbola xy=30?

Guest Oct 23, 2022

0

244

1

algebra

Find the largest possible value of x in the simplified form x=\frac{a+b\sqrt{c}}{d} if 5x/6 +1= 3/x - 1 + 5 + 2x/3, where a,b,c,$ and d are integers. What is acd/b?

Guest Oct 23, 2022

0

232

1

question

Let , and be complex numbers such that What is the product of the minimum and maximum possible values of ||.
Could someone point me in the righr direction? Thanks

Guest Oct 23, 2022

0

257

1

help

Let where a, b, and c are complex numbers. Suppose that What is the number of non real roots of

Guest Oct 23, 2022

Oct 22, 2022

0

240

1

precalc

In triangle ABC, we have AB = 5, BC = 8, and AC = 9.
Calculate cos(A), cos(B), and cos(C).

Guest Oct 22, 2022

0

180

0

help plz

Winnie adds the smallest 20 positive even numbers. Grogg adds the largest 10 odd negative numbers. How much greater is Winnie's sum than Grogg's sum?

Guest Oct 22, 2022

0

183

0

need help

AB is tangent to a circle at the point B. AC is another tangent to the circle, with C being the point of tangency. The circle has radius 11 and the length of AB is 10. What is the length of AC?

Guest Oct 22, 2022

0

181

0

counting problem

Six children are each offered a single scoop of any of 3 flavors of ice cream from the Combinatorial Creamery. In how many ways can each child choose a flavor for their scoop of ice cream so that each flavor of ice cream is selected by at least two children? read more ..

Guest Oct 22, 2022

0

224

1

help probability

Let DEF be an equilateral triangle with side length 3. At random, a point G is chosen inside the triangle. Compute the probability that the length DG is less than or equal to 2

Guest Oct 22, 2022

0

194

0

count

There are 15 skaters in the Olympic women's competition, including 4 Americans. The gold medal goes to first place, silver to second, and bronze to third. In how many ways can the medals be awarded to three of the 15 skaters, if exactly two of the Americans read more ..

Guest Oct 22, 2022

0

184

0

Algebra

If we write sqrt(2) + sqrt(3) + 1/(2*sqrt(2) + 3*sqrt(3)) in the form (a*sqrt(2) + b*sqrt(3))/c such that a, b, and c are positive integers and c is as small as possible, then what is a + b + c?

Guest Oct 22, 2022

0

233

1

Counting

How many different positive integers divisible by 4 can be formed using at least one of the digits 1, 2, 3, 4, and 6 exactly once and no other digits? For example, 12 counts, but 512 does not.

Guest Oct 22, 2022

0

268

1

quadratic

The equation y = -16t^2 + 28t + 180 describes the height (in feet) of a ball tossed up in the air at 28 feet per second from a height of 180 feet from the ground. In how many seconds will the ball hit the ground?

Guest Oct 22, 2022

0

243

1

Question

let and be complex numbers such that: . What is the product of the minimum and maximum possible values of

Guest Oct 22, 2022

0

237

1

help

A function f is defined by for all complex numbers z, where a and are complex numbers and i^2=-1. Suppose that f(1) and f(i) are both real. What is the smallest possible value of

Guest Oct 22, 2022

0

237

1

help

A function f is defined by f(z)= i * . How many values satisfy both |z|=5, and f(z)=z

Guest Oct 22, 2022

1 Online Users