Arectangle has a length of 12 millimeters and a width of 17 millimeters. what is the effect on the perimeter when the dimensions are multiplied by 12? a. the perimeter is increased by a factor of 12. b. the perimeter is increased by a factor of 48. c. the perimeter is increased by a factor of 144. d. the perimeter is increased by a factor of 576.

ok so original perimeter = 12 +12 + 17 +17 = 58 mm

if dimensions are multiplied by 12:

12*12 = 144 and 17*12 = 204

 new perimeter = 144 +144 +204 +204 = 696 mm

696 / 58 = 12

so the perimeter increased by a factor of 12, answer is A

The perimeter is increased by a factor of 12.

Option (a) is correct .

Step-by-step explanation:

Formula

Perimeter of a rectangle = 2 (Length + Breadth)

As given

A rectangle has a length of 12 millimeters and a width of 17 millimeters.

Perimeter of a rectangle = 2 × (12 + 17)

                                         = 2 × 29

                                         = 58 millimeters ²

As given

when the dimensions are multiplied by 12 .

New Length = 12 × 12

                    = 144 millimeter

New Breadth = 17 × 12

                      = 204 millimeter

Thus

New Perimeter of a rectangle = 2 × (144 + 204)

                                         =  2 × 348

                                         = 696 millimeter²

Therefore the perimeter is increased by a factor of 12.

Option (a) is correct .

ce pula mea vrei ma

step-by-step explanation:

gayule

the correct functions are

h(x) = 3x + 2  

g(x) = 2^x

step-by-step explanation:

i proceed to calculate the different values ​​of k (x)

case 1)  k(x) = g(x) ∘ h(x)

g(x) ∘ h(x)=g(h(x))

k(x) = [2]^[3x + > is the option  4. k(x) = 2^(3x + 2 )

case 2)  k(x) = g(x) + h(x)

k(x) = [2^x]+[3x + 2]=2^x+3x+> is the option  1.) k(x) = 2^x + 3x + 2

case 3)k(x) = h(x) ÷ g(x)

k(x) =  [3x + 2]/[2^x]=3x/(2^x)+2/(2^x)=3x*(2^-x)+2^(1-x)

is the option  3.)   k(x) = (3x)2^(-x) + 2^(-x + 1 )

case 4)k(x) = g(x) - h(x)

k(x) =  [2^x]-[3x + 2]=2^x-3x-> is the option  2.) k(x) = 2^x - 3x - 2 

case 5)  k(x) = g(x) × h(x)

k(x) = [2^x]*[3x + > is the option  5.) k(x) = 2^x(3x + 2)

case 6)k(x) = h(x) ∘ g(x)

h(x) ∘ g(x)=h(g(x))

k(x)=3*[2^x]+> is the option  6. k(x) = 3(2^x) +2