Which value must be added to the expression x2 + 16x to make it a perfect-square trinomial?
8
32
64
256

64

Step-by-step explanation:

Given

we need to find a number that makes perfect square

We apply completing the square method

In completing the square method, take the coefficient of x  , divide it by 2  and then square it

coefficient of x  is 16

16 divide by 2 is 8

So 64 will be added to the given expression to make perfect square trinomial .

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.