Four representations: equations, tables, words,
warm-up and graphs
select the words that best describe the given
equation y = x-1
done
w the following questions, look at different ways to
represent the relation given by the
equation y = x2 - 1.
which graph represents the relationship?
the table below shows some values for the given
equation. find the values of a and b.
a =
nyt
intro

Equations are used to represent the relationships between variables. In , the variables are x & y and the following observations are true for the given equation:

Given that:

the square of x

So, means that: the y is 1 less than the square of x

From the attached table, we have:

This means that:

Also, we have:

This means that:

Collect like terms

Take square roots

Hence, the values of a and b are 3 and 0, respectively.

The graph options are not made available. So, I will plot the graph of .

See attachment for graph of

Read more about graphs and equations at:

link

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.

hello from mrbilldoesmath!

answer:

x - 3

discussion:

x^2 - 9 = (x-3) (x+3)   so

(x^2-9)/ (x + 3) = x-3

you,

mrb