Slope through two points

Find the slope of a line that passes through the points (3,−26)and (8,19).

X-intercept of a line

What is the x-intercept of the line y=2x−96?

The y-intercept

What is the y-intercept of the line with slope m=1 that passes through the point (19, 33)?

Minimario's diagonal

Let ABCD be a square with side length 2 and let X be a point outside the square such that XA=XB=2√. The length of the longest diagonal in pentagon AXBCD can be expressed as x√. What is the value of x?

Maximizing Rectangle Area

A rectangle has perimeter equal to 28. What is the maximum possible area of this rectangle?

Area of Inscribed Isosceles Triangle

ABC is an isosceles triangle with AB=BC. The circumcircle of ABC has radius 8. Given that AC is a diameter of the circumcircle, what is the area of triangle ABC?

Details and assumptions

The circumcircle of a triangle ABC passes through A,B,C.

Angles in a Acute Triangle

In acute triangle △ABC, ∠CAB=34∘ and E is the foot of the perpendicular from B to AC. A point H on line segment BE is chosen, and X is the foot of the perpendicular from H to AB. What is the measure (in degrees) of ∠EHX?