GEOMETRY The lateral area of a right cylinder can be found by multiplying twice the number π by the radius times the height. If a right cylinder has radius r and height h, write an expression that represents the lateral area.

Given that ot =5, xt=12, and ox= 13 is xy tangent to circle o at t? explain.

Kayla wants to find the width, ab, of a river. she walks along the edge of the river 65 ft and marks point c. then she walks 25 ft further and marks point d. she turns 90° and walks until her location, point a, and point c are collinear. she marks point e at this location, as shown. (a) can kayla conclude that δ and δ are similar? why or why not? (b) suppose de = 15 ft. what can kayla conclude about the width of the river?

Which describes the difference between the graph of f(x)=x^2 and g(x)=-(x^2-2)