Answer:
The midpoint of points
is
.
Step-by-step explanation:
Given points are
. We need to find the midpoint of the line segment.
The formula of finding midpoints between the point
is

W have points
. And 
Let us plug the value in Equation (1)


So, the midpoint of points
is
.
Answer:
$16.90
Step-by-step explanation:
First you need to find how much the markup is in dollars.
Multiply 13(0.3).
This will give you 3.9.
Then you add this to the original cost of the glasses.
13+3.9= 16.9.
So, the final cost of the glasses is $16.90.
Answer: ×/2 + 9 =
Step-by-step explanation: when a sentence needs to be visualized it is best to strat from the outside.
So if nine more than blah blah equals 21,
... +9 = 21
1/3 ln(<em>x</em>) + ln(2) - ln(3) = 3
Recall that
, so
ln(<em>x</em> ¹ʹ³) + ln(2) - ln(3) = 3
Condense the left side by using sum and difference properties of logarithms:


Then
ln(2/3 <em>x</em> ¹ʹ³) = 3
Take the exponential of both sides; that is, write both sides as powers of the constant <em>e</em>. (I'm using exp(<em>x</em>) = <em>e</em> ˣ so I can write it all in one line.)
exp(ln(2/3 <em>x</em> ¹ʹ³)) = exp(3)
Now exp(ln(<em>x</em>)) = <em>x </em>for all <em>x</em>, so this simplifies to
2/3 <em>x</em> ¹ʹ³ = exp(3)
Now solve for <em>x</em>. Multiply both sides by 3/2 :
3/2 × 2/3 <em>x</em> ¹ʹ³ = 3/2 exp(3)
<em>x</em> ¹ʹ³ = 3/2 exp(3)
Raise both sides to the power of 3:
(<em>x</em> ¹ʹ³)³ = (3/2 exp(3))³
<em>x</em> = 3³/2³ exp(3×3)
<em>x</em> = 27/8 exp(9)
which is the same as
<em>x</em> = 27/8 <em>e</em> ⁹
since the equation is c=9.5t, Sanjay paid c=9.5 x 14 shirts he bought. which =$133