you want the sum of the distances to equal 1900 miles.
they are travelling in opposite directions and therefore the distances will add.
let the number of hours = t
d = r*t
635*t + 325*t = 1900 combine the right
960*t = 1900 divide by 960
960t/960 = 1900/960
t = 1.98 hours or 1 hour and 58.8 minutes or 1 hour 58 minutes 48 seconds.
without choices, i don't know which answer you want. perhaps even 2 hours is (rounded) close enough
answer: option a.
1. dilation is defined as a transformation in which the figure is enlarged or reduced.
2. for dilation you have:
- a scale factor, that determines how much the figure will be reduced or enlarged.
- the center of dilation, which is defined a a fixed point in the plane.
3. if the figure is dilated with a scale factor of 4 and the center of dilation at the origin, you must multiply the coordinates of the original figure bu 4. then:
the correct answer is 19,25,31
hello from mrbilldoesmath!
l = 35, w = 25
the attachment shows that
p = 2l + 2w = 120
l = 10 + w
2l + 2w = 120 => substitute the last equation into the first one
2(10 + w) + 2w = 120 =>
20 + 2w + 2w = 120 => combine like terms
20 + 4w = 120 => subtract 20 from both sides
4w = 120 -20 = 100 => divide both sides by 4
w = 100/4 = 25
hence, l = 10 + w = 10 + 25 = 35