Megan wants to predict how much gas is left in her tank based on the distance she has driven. She filled up her tank and measured the amount of gas in her tank (in liters) after driving certain distances (in kilometers). Her data is summarized in the table below.
Distance (km) 000 100100100 200200200 300300300 400400400 500500500
Gas left (L) 50.050.050, point, 0 42.242.242, point, 2 34.234.234, point, 2 26.026.026, point, 0 17.617.617, point, 6 9.19.19, point, 1

Which shows one way to determine the factors of 4x3 + x2 – 8x – 2 by grouping?

Acar started driving from city a to city b, distance between which is 620 miles, at a rate of 60 mph. two hours later a truck left city b and started moving towards city a at a rate of 40 mph. what distance from city a is the point where the truck and the car will meet?

Statement reason 1. δabc is similar to δced. given 2. 3. definition of slope 4. slope of slope of definition of slope 5. slope of × slope of multiplying the slopes 6. slope of × slope of substitution property of equality 7. slope of × slope of simplifying the right side the table contains the proof of the relationship between the slopes of two perpendicular lines. what is the reason for statement 2? a. parallel line segments that meet a common perpendicular line are proportional in length. b. the lengths of vertical and horizontal sides in congruent triangles are in a common ratio. c. trigonometric identities determine the lengths of the legs in a right triangle. d. corresponding side lengths in similar triangles are proportional in length.