Graph the image of the given triangle under a dilation with a scale factor of 14 and center of dilation (0, 0) . to graph the triangle, select the "polygon" tool and draw the triangle by plotting each vertex in order until it lands back on the first vertex. do not retrace any sides. you may use the "move" tool to move your image if you needed.

to dilate an object means to enlarge or reduce the size of the object. the scale factor will determine how much larger or smaller the object will become.   if this factor is greater than 1, the object will increase in size. otherwise, if the factor is less than 1, the object will decrease in size. so, the dilated object will be similar to its original.

on the other hand, when corresponding points of the original and dilated figures are connected by straight lines, the center of dilation is the point where all the lines meet. in this problem, the center is (0, 0). when the center is the origin we need to multiply all the original coordinates of the object by the scale factor given. so:

so, the graph of the dilated triangle is shown in the figure below

30 miles

step-by-step explanation:

we know that 60 seconds equals 1 minute and 60 minutes 1 hour

44 ft       60 sec     60 min     158400   ft

  *   *   =

1 sec       1 min       1 hour         hour

we know that there are 5280 ft per mile

158400   ft       1 mile         30 miles

  *   =

1   hour               5280 ft     1 hour

so in 1 hour   it can travel 30 miles