Consider that the length of rectangle a is 10 cm and its width is 6 cm. which rectangle is similar to rectangle a? a) a rectangle with a length of 9 cm and a width of 6 cm. b) a rectangle with a length of 15 cm and a width of 9 cm. c) a rectangle with a length of 14 cm and a width of 7 cm. d) a rectangle with a length of 12 cm and a width of 8 cm.

B) A rectangle with a length of 15 cm and a width of 9 cm

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional

Verify each cases

case A) A rectangle with a length of 9 cm and a width of 6 cm

therefore

The rectangle case A) is not similar to rectangle A

case B) A rectangle with a length of 15 cm and a width of 9 cm

therefore

The rectangle case B) is  similar to rectangle A

case C) A rectangle with a length of 14 cm and a width of 7 cm

therefore

The rectangle case C) is not similar to rectangle A

case D) A rectangle with a length of 12 cm and a width of 8 cm

therefore

The rectangle case D) is not similar to rectangle A

definitely a. the others have almost all data points on one side of the line.

step-by-step explanation:

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph