DISTANCE FORMULA find the distance between each pair of points round the answer to the nearest tenth

Step-by-step explanation:

The distance between 2 points is calculated with this formula:

• in the first exercise:

- the leftmost point has values (-5; 1), where -5 is the value of x1 and 1 is the value of y1

- the rightmost point has values (4; 0), where 4 is the value of x2 and 0 is the value of y2

then apply the formula:

you can check if the result is correct by counting the distance of the points with the squares of the sheet (photo)

• in the second exercise:

- the highest point has values (-4; 2), where -4 is the value of x1 and 2 is the value of y1

- the lower point has values (-4; -4), where -4 is the value of x2 and -4 is the value of y2

then apply the formula:

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation: