Triangle J′K′L′ shown on the grid below is a dilation of triangle JKL using the origin as the center of dilation: Which scale factor was used to create triangle J′K′L′?

4

1/4

2

1/2

Line cd passes through points c(1, 3) and d(4, –3). if the equation of the line is written in slope-intercept form, y = mx + b, what is the value of b? –5 –2 1 5

Elena and her husband marc both drive to work. elena's car has a current mileage (total distance driven) of 15,000 and she drives 23,000 miles more each year. marc's car has a current mileage of 46,000 and he drives 9,000 miles more each year. will the mileages for the two cars ever be equal? explain.

Which value would be a solution for x in the inequality 47-4x< 7