All Questions ⁺⁰237642 Questions

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geometry

Let AB be a diameter of a circle, and let C be a point on the circle such that AC=8 and BC=4 The angle bisector of ACB intersects the circle at point M Find CM.

Guest Jan 2, 2023

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Angle bisector

Let ABC be a triangle, and let its angle bisectors be AD, BE, and CF, which intersect at I. If DI = 3, BD = 4, and BI = 8, then find the area of triangle ABC.

Guest Jan 2, 2023

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geometry

Triangle ABC is a right triangle with angle BAC= 90 degrees and angle B > angle . Suppose AP is an altitude of the triangle, AQ is an angle bisector of the triangle, and AR is a median of the triangle, and angle PAQ = 18 degrees. If P read more ..

Guest Jan 2, 2023

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Function

Let F(x) be the real-valued function defined for all real x except for x = 1 and x = 2 and satisfying the functional equation
F(x) + F((2x - 3)/x) = x.
Find the function F(x) satisfying these conditions. Write F(x) as read more ..

Guest Jan 2, 2023

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159

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Constant term

Find the constant term in the expansion of (2z - 1/(z*sqrt(z)) + 1)^4.

Guest Jan 2, 2023

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152

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help with binomials

Find the positive integer n such that the expansion of (4x - 7y)^n contains a term of the form cx^2*y.

Guest Jan 2, 2023

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161

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Algebra

For some real number a and some positive integer n, the first few terms in the expansion of (1 + ax)^n are
1 + 10x + 150 x^2 + cx^3 + ...

Find c. read more ..

Guest Jan 2, 2023

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164

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Math 10-3

A kite is on a 25 m string. The kite is directly above a barn that is 18 m away from the person holding the kite string. What angle does the string make with the ground?

Guest Jan 2, 2023

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227

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Coefficient

Find the coefficient of u^2 v^9 in the expansion of (2u - 3v + u^2 - v^2)^9.

Guest Jan 2, 2023

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236

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+660

Question was already posted but answers were incorrect!

PLS READ CAREFULLY BC THERE IS A SIMILAR PROBLEM

A right triangle with integer leg lengths is called cool if the number of square units in its area is equal to twice the number of units in the sum of the lengths of its legs. read more ..

Keihaku Jan 2, 2023

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Algebra

Let a and b be real numbers such that a^3 + 3ab^2 = 679 and a^3 - 3ab^2 = 673. Find a - b.

Guest Jan 2, 2023

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189

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counting

(a) Find the number of ways that Magnus can give out 20 identical stickers to 5 of his friends. (Not everyone has to get a sticker.)

(b) Find the number of ways that Magnus can give out 20 identical stickers to 5 of read more ..

Guest Jan 2, 2023

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Probability

Valeria has three coins, each of which has a probability of 1/2 of coming up heads. On her first turn, she flips all three coins. If all three come up heads, then she stops. Otherwise, for her second turn, she flips any coins that came up tails. read more ..

Guest Jan 2, 2023

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Inequality

(a) Prove that if a, b, c, d, e, f are nonnegative real numbers, then (a^2 + b^2)^2 (c^4 + d^4)(e^4 + f^4) >= 32abcdef.
(b) Prove that if a, b, c, d, e, f are nonnegative real numbers, then (a^2 + b^2)(c^2 + d^2)(e^2 + read more ..

Guest Jan 2, 2023

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195

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Counting question

There is a group of five children, where two of the children are twins. How many ways can I distribute 10 identical pieces of candy to the children, if the twins must get an equal amount of candy?

Guest Jan 2, 2023

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170

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help algebra

Fill in the blanks:

(3 + sqrt(5) + sqrt(2) - 1)^4 = __ + __ sqrt(5) + __ sqrt(2)

Guest Jan 2, 2023

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173

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graphing

The graph of y = f(x) is shown below.

For each point (a,b) that is on the graph of y = f(x), the point ((a - 7)/2, (3b + 1)/4) is plotted, forming the graph of another function y = g(x). As an example, the point read more ..

Guest Jan 2, 2023

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Help

Every week, Richard earns $16 less than Andy. Each of them spends $48 per week on food and saves the rest. When Andy has saved $144, Richard has only saved $64.
(a) How long does Andy take to save $144?
(b) What is Richard's weekly read more ..

Guest Jan 2, 2023

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166

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Functions

The functions f and h are defined as follows:
f(x) = (x + 5)/(x - 7) and h(x) = (x + 5)(x - 7).

Explain why the functions f and h are not the same function. read more ..

Guest Jan 2, 2023

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Probability

A standard six-sided die is rolled twice. What is the probability that the product of the rolls is 3 or 12?

Guest Jan 2, 2023

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154

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need help

A magician makes potions by combining maple syrup from a magical maple tree with ordinary water. The magician starts with a large supply of two potions: a red potion, which is 50% magical syrup by volume (and the rest is just water), and blue potion, which read more ..

Guest Jan 2, 2023

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204

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plz help

question 2-
read more ..

Guest Jan 2, 2023

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192

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help algebra

Arrange the following numbers in increasing order (smallest first, biggest last):

A = 2*1/2*4*1/6
B = 12*128 read more ..

Guest Jan 2, 2023

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Expected value

Three standard fair 6-sided dice are rolled. What is the expected number of 6's rolled? (For example, if two 6's and a 5 are rolled, then the answer is 2.)

Guest Jan 2, 2023

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