Answer with explanation: Given that Circle 1 has a center at (−4, −7) and a radius of 12 cm, while Circle 2's center is at (3, 4) with a radius of 15 cm. Two circles are similar if one can be transformed and scaled to fit over the other, creating identical circles. The circles qualify as similar because the transformation rule (x,y) → (x+7,y+11) can be applied to Circle 1, followed by dilation using a scale factor of 5/4. Since Circle 1's center is at (-4,-7), we translate it to (3,4) through (-4+7,-7+11). With Circle 1 having a radius of 12 and Circle 2 having 15 cm, we denote the scale factor as k.
This question is quite lengthy, so I will offer a brief overview. To find your x-value, set y to 0 in the given equation.
2x + 3y = 1470
2x + 3(0) = 1470
2x = 1470
x = 735
Thus, your farthest point on the x-axis is (735,0).
Now, repeat for y.
2x + 3y = 1470.
2(0) + 3y = 1470
3y= 1470
y= 490
Your highest point thus is (0,490).
After plotting both points, connect them with a straight line to illustrate your graph.
Check
Given a time of 3:59.37 for a mile run, this translates to 3 hours and 59.37 minutes. To convert this entirely into hours: 3 hours + 59.37 minutes (1 hour / 60 minutes) = 3.9895 hours. Thus, the average speed can be calculated as: average speed = 1 mile * (1.61 km / mile) / 3.9895 hours. Consequently, the average speed equals 0.4 km / hour.
