Factor the expression. x^2+11x+28

(x+4)(x+7)

Step-by-step explanation:

The middle number is 11 and the last number is 28.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get 11

Multiply together to get 28

Can you think of the two numbers?

Try 4 and 7:

4+7 = 11

4*7 = 28

Fill in the blanks in

(x+_)(x+_)

with 4 and 7 to get...

(x+4)(x+7)

based on context clues you gave i'm assuming the answer would be c.

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.