Answer:
these problems are always tough b/c they want you to translate normal thinking into math jargon :D soooo....
Step-by-step explanation:
they use the point slope formula... which looks like
y = = m(x - )
where ( , ) are the x , y coordinates of some point you're given.. sooo
they give us two points.. so we can put either one of those into the formula.. but we also have to find m.... or the slope ... to find m.. use the slope equation of
m = ( - ) / ( - )
call either point P1 and P2 ... i'll pick the top point as P1 and bottom as P2
then
m = ( -3 -1 ) / ( 1 - 3 )
m = -4 / -2
m = 2 ( yay :) )
now use either point and plug it into the point slope formula, i'll use P1
y - 1 = 2(x-3) ( this is the answer they are looking for )
Well, I can’t see your choices, but hopefully one looks something like this:
1.25x = 11.25
Or
x = 11.25/1.25
Feel free to put more information in the comments, and I will help.
135 miles / 2.5 hours = 54 mph
54 mph x 4 hours = 216 miles
Answer:
See attached
Step-by-step explanation:
For some point X, center C, and dilation factor k, the image point X' will be ...
... X' = C + k(X -C)
Assuming you want k=12 in both cases, for the written problem, the first point is ...
... X' = (-3, 0) + 12((-5, 4) -(-3, 0)) = (-3, 0) +12(-2, 4)
... = (-3, 0) +(-24, 48)
... X' = (-27, 48)
_____
In the problem in the image, the lower right point will be ...
... Q' = C + k(Q -C)
... Q' = (-3, 1) +12((2, 2) -(-3, 1)) = (-3, 1) + 12(5, 1)
... = (-3, 1) + (60, 12)
... Q' = (57, 13)