Rose has a rectangular patio that is 5 tiles long and 8 tiles wide. She is changing the dimensions to 10 tiles long by 10 tiles wide. Draw a picture to determine how many new tiles Rose will add to her patio.

d 60

Step-by-step explanation:

Rose's patio originally had 5 x 8 = 40 tiles (drawn in blue)

since she wants to put more tiles and form a 10 x 10 square, she will need to add: (10 x 10) - 40 = 100 - 40 = 60 tiles (white tiles)

Area= L*W (we are changing the area)

5*8=40 (the area of the old)

10*10= 100 (area of new)

100-40 = 60 (number of tiles to get to new from old)

Hope this helps

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form