Answer:
Step-by-step explanation:
we know that
The angle x belong to the III quadrant -----> given problem
step 1
Find the angle x
Remember that the angle x belong to the III Quadrant
so
step 2
Find angle x/2
step 3
Find tan(x/2)
The coordinate of point N after the dilation is N' = (-8/3, 8/3)
<h3>Dilation of coordinates</h3>
Dilation is a transformation technique for changing the size of an object using a scale factor.
Given the coordinate of N from the figure as (-4, 4). If this coordinate point is dilated by a factor of 2/3, then the resulting coordinate will be:
N' = (2/3(-4), 2/3(4))
N' = (-8/3, 8/3)
Hence the coordinate of point N after the dilation is N' = (-8/3, 8/3)
Learn more on scale factor here: brainly.com/question/10253650
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Answer:
1/3
Step-by-step explanation:
Probability is the likelihood or chance that an event will occur
Probability = Expected/Total outcome
Since the experiment requires rolling a dice
S = {1, 2, 3, 4, 5, 6}
Total outcome n(S) = 6
Number greater than 4 are;
Events E = {5,6}
Expected outcome n(E) = 2
Probability of rolling a number greater then 4 = 2/6
Probability of rolling a number greater then 4 = 1/3
1)
I:y=3x-4
II:9x-3y=14
substitute y into II:
9x-3*(3x-4)=14
9x-9x+12=14
12=14
this is obviously not equal so there is no solution, the lines are parallel
2)
I:y=4x+6
II:5x-y=6
substitute y into II:
5x-(4x+6)=6
5x-4x-6=6
x=12
substiute x into II:
5*12-y=6
-y=6-60
-y=-54
y=54
the solution is (12,54)
