P; lease 35
in the diagram, diameter ac intersects chord bd at point e such that ae = 2.5 units and de = 3.4 units. point o is the center of the circle, and the radius of the circle is 5 units. what is the approximate length of be? a. 5.5 units b. 4.5 units c. 6.0 units d. 5.0 units

The length of BE is 5.5 units.(A correct option)

Step-by-step explanation:

Given diameter AC intersects chord BD at point E such that AE = 2.5 units and DE = 3.4 units. Point O is the center of the circle, and the radius of the circle is 5 units. we have to find the approximate length of BE.

CE=CO+OE=5+(OA-AE)=5+2.5=7.5 units.

Now, by Intersecting Chord Theorem which states that when two chords intersect each other inside a circle then the products of their segments are equal.

⇒

⇒

⇒

Hence, the length of BE is 5.5 units.

a) justify

step-by-step explanation:

justifying is just part of everyday life. justify kind of means proof so i think the answer is a) justify.

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.