Hey there!!
Perimeter of a rectangle =2 ( length + width )
Let's take the measure of the width as ' x '
Then, the length would be ' 3x '
Hence,
... 2 ( x + 3x ) = 96
... 2 ( 4x ) = 96
... 8x = 96
... x = 96 / 8
... x = 12
Width = 12 inches
And, length would be 36 inches.
Hope my answer helps!!
The coordinates of X are (5, 11).
Solution:
Given points of the line segment are P(2, 2) and T(7, 17)
Let X be the point that partitions the directed line segment PT in the ratio 3 : 2
Using section formula, we can find the coordinate of the point that partitions the line segment.
Section formula:

Here,
and m = 3, n =2
Substitute these in the section formula,




X(x, y) = (5, 11)
The coordinates of X are (5, 11).
Answer:
or
* 
Step-by-step explanation:
Given: 
Equivalent expression is
or
* 
<h3>Initial amount = 1</h3><h3>Rate of growth = 80 %</h3><h3>The value is 18.9 when t = 5</h3>
<em><u>Solution:</u></em>
<em><u>The given exponential function is:</u></em>

<em><u>The exponential function is given as:</u></em>

Where,
y is the future value
a is the initial value
r is the growth rate
t is the number of years
<em><u>Compare both the functions,</u></em>
a = 1

Thus growth rate is:
<em><u></u></em>
<em><u>Evaluate the function when t = 5</u></em>
Substitute t = 5 in given

Thus the value is 18.9 when t = 5
Answer:
-14
Step-by-step explanation:
Well, the equation would be 8+2n=-20
2n=-28
n=-14