Please find the perimeter of both shapes if x = 4.5

Rectangle: 27

Triangle: 39

Step-by-step explanation:

To find the perimeter of a rectangle use the expression P = 2(l + w)

Before substituting 4.5 for x simplify the equation

2((-3 + x) + 1/2(4x + 6)) = P

First simplify in the parenthesis

2(-3 + x + 2x + 3) = P

Now combine like terms, then multiply 2 and 3x

2(3x) = P

P = 6x

Lastly substitute 4.5 for x to find the perimeter

P = 6(4.5)

P = 27

Now do the same thing that we did with the rectangle but with a triangle

P = a + b + c

(3x - 4) + (3x - 4) + 2/3(6x + 3) = P

10x - 6 = P

10(4.5) - 6 = P

P = 39

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

to determine the unit cost your would divide the total cost by the number sold.

7 bagels for $4.41       $4.41/7 = $.63 each at fresh side

5 bagels for $3.60         $3.60/5 = $.72 each at value mart