Math

Easy Math

100

What is 1+1

2

Hard Math

100

In a right-angled triangle ABC, angle B is a right angle. Point D lies on the hypotenuse AC such that angle BDA is also a right angle.

• Given that AB = 5 and BC = 12, find the length of the segment BD

BD=60/13

200

A line in the xy-plane passes through the points (K+7, -15) and (K, 13). It is given that the y-intercept of this line occurs at the point (K-5, B), where K and B are constants. What is the value of B?

B=33

300

If h, k, q, and z are all integer constants such that (hx + k)(qx + z) = 15x^2 + b x + 35, and kz = 35, what is a possible value for the expression 35/k?

Any integer factor of 35

400

Find positive integer solutions (x, y, z) for the equation:
(x/(y+z))+(y/(z+x))+(z/(x+y))=4

x approx 4.37*10⁷⁵

y approx 3.69*10⁷⁵

z approx 1.54*10⁷⁵

500

Find the remainder when 3^100,005 is divided by 13

1