2. suppose (220)_b and (251)_b are the squares of consecutive integers. determine b.

Let and be these consecutive integers. For some base , we can write

If

then

Now,

Squaring both sides gives

and so

(because the base has to be non-zero)

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation:

it would open into a square depending on the type of envelope i’m not sure about the second part