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Find the Distance Between Two Points (-4/5,4) , (-1,3/2)
,
Step 1
Use the
distance
formula
to determine the
distance
between the two
points
.
Step 2
Substitute the actual values of the
points
into the
distance
formula
.
Step 3
Simplify.
Multiply
.
Multiply
by .
Multiply
by .
To write as a
fraction
with a
common denominator
,
multiply
by .
Combine
and .
Combine
the
numerators
over the
common denominator
.
Simplify the
numerator
.
Multiply
by .
Add and .
Move the negative in front of the
fraction
.
Use the
power rule
to distribute the
exponent
.
Apply the
product rule
to .
Apply the
product rule
to .
Raise to the
power
of .
Multiply
by .
One to any
power
is one.
Raise to the
power
of .
To write as a
fraction
with a
common denominator
,
multiply
by .
Combine
and .
Combine
the
numerators
over the
common denominator
.
Simplify the
numerator
.
Multiply
by .
Subtract from .
Move the negative in front of the
fraction
.
Use the
power rule
to distribute the
exponent
.
Apply the
product rule
to .
Apply the
product rule
to .
Raise to the
power
of .
Multiply
by .
Raise to the
power
of .
Raise to the
power
of .
To write as a
fraction
with a
common denominator
,
multiply
by .
To write as a
fraction
with a
common denominator
,
multiply
by .
Write each
expression
with a
common denominator
of , by multiplying each by an appropriate
factor
of .
Multiply
by .
Multiply
by .
Multiply
by .
Multiply
by .
Combine
the
numerators
over the
common denominator
.
Simplify the
numerator
.
Multiply
by .
Add and .
Rewrite as .
Simplify the
denominator
.
Rewrite as .
Pull
terms
out from under the radical, assuming positive real numbers.
Step 4
The result can be shown in
multiple
forms.
Exact Form:
Decimal Form:
Step 5
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