Using the information from the problem tell: Perimeter or Area of Old (Original) Figure Perimeter or Area of New Figure Make a statement about the change in Area or Perimeter Please numbers your answer 1 to 3, so I know what question you are answering

The perimeter of the given parallelogram increases to four times the current value

Step-by-step explanation:

The given dimensions of the parallelogram are 8 cm by 10 cm

Therefore, the perimeter of the given parallelogram, 'P₁', is found as follows;

P₁ = 2 × 8 cm + 2 × 10 cm = 16 cm + 20 cm = 36 cm

The perimeter of the given parallelogram, P₁ = 36 cm

When each side of the parallelogram are multiplied by 4, we get;

The new sides of the parallelogram = 4 × 8 cm = 32 cm and 4 × 10 cn = 40 cm

The new perimeter of the parallelogram, P₂ = 2 ×32 cm + 2 × 40 cm = 144 cm

Therefore, the perimeter, P₂ is P₂/P₁ times larger than the perimeter P₁

P₂  = (144 cm)/(36 cm) × P₁

∴  P₂  = 4 × P₁

The change in the perimeter after multiplying each side of the given parallelogram by 4 is that the perimeter of the given parallelogram increases to four times the current value

a) $ 9.50

b) 17

c) y-intercept (0, 12). this is the initial amount of money that joe had prior to playing any game.

d) x-intercept ( 24, 0). this is the number of games that joe will play before he depletes the initial amount of money that he had.

e) slope is -0.5. joe's balance will reduce by 0.5 for every game that he plays.

f)

domain; [0,24]

range; [0,12]

g) x + 2y = 24

step-by-step explanation:

a)

if joe plays 5 games, this will imply that x = 5. substitute x = 5 in the equation and solve for y;

y = -.50x + 12

y = -0.50(5) + 12

y = 9.50

b)

if joe leaves the arcade with $3.50, this will mean that y = 3.50. plug in y = 3.50 in the given equation and solve for x;

y = -.50x + 12

3.50 = -0.50x + 12

0.50x = 12 - 3.50

0.5x = 8.5

x = 17

c)

the function given is   y = -.50x + 12.

the y-intercept is the point where the graph of this function will intersect the y-axis. at this point, the value of x is usually 0. plug in x = 0 in the given equation and determine y;

y = -0.50(0) + 12

y = 12

the y-intercept is thus (0, 12). this is the initial amount of money that joe had prior to playing any game.

d)

the x-intercept refers to the point where the graph of a function intersects with the x-axis. at this point, the value of y is 0. substitute y = 0 in the given equation and solve for x;

0 =   -.50x + 12

0.5x = 12

x = 24

x-intercept ( 24, 0). this is the number of games that joe will play before he depletes the initial amount of money that he had.

e)

the slope of the given equation is -0.5. the equation has been given in slope-intercept form. thus the slope is simply the coefficient of x.

joe's balance will reduce by 0.5 for every game that he plays. this is the interpretation of the slope.

f)

domain is the set of x values for which the function is real and defined. the domain will thus be; [0,24]. this will restrict the balance to only assume positive values.

on the other hand, the range is the set of y values for which a function is real and defined. the range in our case will be [0,12]. joe can have between $0 and $12 balance.

g)

the standard form of the equation of a straight line is;

ax + by = c

where a, b, and c are integers.

our equation is given as;

y = -.50x + 12

re-writing the equation we have;

0.5x + y = 12

divide all through by 0.5;

x + 2y = 24

35 is an outlier

step-by-step explanation: