P=x+38
add all individual sides together (is also the perimeter):
p=(x+3)+(x-5)+x+(x-2)+(x-4)+(x-1)+(x-1)
=7x-10
set both p equal:
x+38=7x-10
38=6x-10
48=6x
8=x
then insert x=8 in all the side/perimeter equations:
p=x+38=8+38=46
sides:
x=8
x-2=8-2=6
x-1=8-1=7
x-4=8-4=4
x-5=8-5=3
x+3=8+3=11
Answer:
y = x + 4
Step-by-step explanation:
Let the equation of the linear function represented by the table is,

where m = slope of the line
And this line passes through the points
and 
Slope of the given line = 
From the given table two points lying on the function are (-4, 0) and (1, 5).
Slope 'm' =
= 1
Therefore, equation of the linear function passing through (1, 5) and slope 1 will be,
y - 5 = (x - 1)
y = x + 5 - 1
y = x + 4
12226 stores will be there in 2016
<em><u>Solution:</u></em>
<em><u>The growth 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
From given,
In 2000, a company had 1147 stores nationwide
By 2002, this total had grown to 1542
Therefore,
y = 1542
a = 1147
t = 2000 to 2002 = 2 years
r = ?
<em><u>Substituting we get,</u></em>

Taking square root of both sides

<em><u>If the number of stores continues to grow exponentially at the same rate, how many stores will there be in 2016?</u></em>
Therefore,
y = ?
a = 1147
r = 0.1594
t = 2000 to 2016 = 16 years
<em><u>Substituting we get,</u></em>

Thus 12226 stores will be there in 2016
Answer:
M
Step-by-step explanation:
Answer:
the correct answer is 120 square meters
Step-by-step explanation:
DG is a half diagonal and it intersects with the other diagonal at 90°. So it forms a right angle triangle. Using Pythagoras theorem
13^2-5^2=d^2
169-25=d^2
144=d^2
d=√144
d=12
so the other half diagonal is 12m
the two diagonals will be 2×5 and 2×12
the two diagonals will be 10m and 24m
area of a rhombus=1/2d1d2
area of the rhombus= 1/2×10×24
area of the rhombus=120 square meters