The relationship between the depth of a river d and the width w from one edge, both in meters, is modeled by a quadratic function d(w)=1100w2−w, the graph of which is shown. Based on d(w) and its graph, determine whether the following statements are true or false.

The river can reach up to 25 meters in depth. T or F

The river has an axis of symmetry at w=50 meters. T or F

The river is 50 meters in width. T or F

The river reaches its deepest point at w=100 meters T or F

seems like d

step-by-step explanation:

50*10 is greater

step-by-step explanation:

if you add the zero from 10 to 50, it will give you a bigger number.

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.