Answer:
This is a reflection about the x-axis.
Step-by-step explanation:
A reflection about the x-axis has the rule
[x,y]-> [x,-y].
Therefore
M[x,y] = [x,-y}
Let M=
|a b|
|c d|
Then the matrix multiplication gives
ax+by=x.............(1)
cx+dy=-y............(2)
Solving the previous equations (1) and (2) gives
a=1, b=0
c=0, d=-1
giving M as
|1 0|
|0 -1|
Step-by-step explanation:
Let U=universal set
C=students who drink coke
P = students who drink pepsi
9.1/3575
use long division like this
_<u>0.</u>_________
3575|91.000000
we find how many of 3575 fit into the 91
it's too big so we go farther
how many 3575 go into 910
too big so we go farther
how many 3575 go into 9100
the answer is 2 so put that in the correct place and mulitply that and put that in the correct place. then we subtract
_<u>0.</u><u>02</u>_________
3575|91.000000
-<u>71.50</u>
19.50
bring down the next number
find how many go into 19.500
the answe ris 5
_<u>0.</u><u>02</u><u>5</u>_________
3575|91.000000
-<u>71.50</u>
19.500
-<u>17.875</u>
1.625
bring down he next zero ( I fast forward and skip steps for convinience)
__
_<u>0.</u><u>02</u><u>5</u><u>455</u>_________
3575|91.000000
-<u>71.50</u>
19.500
-<u>17.875</u>
1.6250
-<u>1.4300</u>
.19500
-<u>.17875
</u> 16250
-14300
and so on untill infinity so the answe ris 0.0254555555555555 (enless fives)
If she went back 5 miles than the displacement would be 0.
Just subtract the amount of miles she went back from the miles she went forward 5 - 5 = 0
Answer:
8 and 12
Step-by-step explanation:
The perimeter of the given rectangle is ...
P = 2(L +W)
P = 2(14 +21) = 2(35) = 70
The scale factor to the similar triangle is ...
similar perimeter/original perimeter = 40/70 = 4/7
__
The dimensions of the similar triangle are the original triangle dimensions multiplied by this scale factor:
(14)(4/7) = 8
(21)(4/7) = 12
The sides of the similar triangle are 8 and 12.
