<h3>2
Answers: </h3><h3>
Choice B) Shift down</h3><h3>
Choice C) Shift right</h3>
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Explanation:
Start with the point (-2,-4). Let's try to move it to (2, -9)
To do so, we need to shift down and to the right (in either order).
Specifically we shift 4 units to the right to go from x=-2 to x=4
Note how x=-2 moves to x+4 = -2+4 = 2
Also, we shift 5 units down. We have y = -4 turn into y = -9 as shown below
y ---> y-5 = -4-5 = -9
So the translation rule is 
Let's see what happens when we apply the translation rule to (2,4)
which is the other endpoint of the blue segment. This shows that the translation rule works for (2,4) to move to (6,-1)
We do not apply any dilations. The red and blue segments are the same length because translations preserve distance. All we're effectively doing is moving the red segment to land on the blue segment. This means no vertical or horizontal stretches are done. The same can be said about compressions as well.
Answer:
distance = 994.75 miles
Step-by-step explanation:
given data
City A = 36°6′ = 36° + 
= 36.1° = 36.1° × 
= 0.6297 rad
City B = 21°42′ = 21° + 
= 21.7° = 21.7° × = 0.3785 rad
multiply by π/180 to convert the degree to radian
radius of Earth = 3960 miles
to find out
distance between City A and City B
solution
we first get here central angle between A and B city is
central angle between A and B city = 0.6297 rad - 0.3785 rad
and
now by arc length so we get distance
distance = 3960 miles × (0.6297 rad - 0.3785 rad )
distance = 994.75 miles
Answer:
B
Step-by-step explanation:
31-23=8
41-31=10
53-41=12
So next number should be 53+14, that is 67.
Follow the rule:
67+16=83
83+18=101
The angle immediately below x makes up the third angle of the isosceles triangle whose base angles are 55°. That third angle and x are "vertical" angles, hence equal. The value of x can be found from the sum of angles of a triangle:
x + 55° + 55° = 180°
x = 70°
The appropriate choice is the 2nd one:
70°
Answer:
$148.75
Step-by-step explanation:
$175 · 15% = $26.25
$175 - $26.25 = $148.75
