sierram298
25.07.2019 •
Mathematics
The line whose equation is y=1/2x-3 is dilated by a factor of 3 with a center at the point (10,2). explain why its equation would not change.
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Ответ:
y=1/2x-3
1) the slope of this line equation is m=(1/2)
2) the coordinates of the y intercept are
for x=0
y=-3
point (0,-3)
3)the coordinates of the x intercept are
for y=0
0=(1/2)x-3> (1/2)x=3> x=6
point (6,0)
if the line is dilated by a factor of 3
then
y=1/2x-3> 3y=3*[1/2x-3]> 3y=(3/2)x-9
3y=(3x-18)/2> y=(3x-18)/6> y=(3/6)x-18/6
y=(3/6)x-18/6
so
1) the slope of this line equation is m=(3/6)> 3/6=1/2
2) the coordinates of the y intercept are
for x=0
y=-18/6> y=-3
point (0,-3)
3)the coordinates of the x intercept are
for y=0
0=(3/6)x-18/6> (3/6)x=18/6> x=18/3> x=6
point (6,0)
therefore
the equation of the line
y=1/2x-3 is the same that the equation of the line y=(3/6)x-18/6
the equation does not change because the slope and the x and y intercepts do not change either
Ответ:
2: document that gave the english rights they had been denied
3: sell more than you buy
4: had to buy british stamp for every price of printed paper
5: taxes on lead glass, paper, paint, tea
6: colonists dresses up as indians, climbed on a ship, threw 342 chests of tea
7: a hothead
8: started committees of correspondence
9: group of colonists who formed a secret society
10: wrote pamphlets about war
11: roused many colonists to demand independence
12: member of virginia house of burgesses
13: american who wanted to be free of british rule
14: house where soldiers lived
15: american who supported the king
16: group of delegates who meet for discussion
17: british soldier during american revolution