<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:
Thus last month Calvin made $414.90 from all the paintings sold at the art shows.
Step-by-step explanation:
Let us first analyse the given information in the question:
→ Small paints (lets call them
) sell for $25.80 Per Painting, thus:
gives as the profit for
number paints sold.
→ Large paints (lets call them
) sell for $56.25 Per Painting, thus:
gives as the profit for
number paints sold.
We also know last month he sold six large paintings and three small paintings thus from our variables above we can say:
Eqn(1).
Thus the total profit of all paintings sold would be:
which by pluggin in Eqn(1) values gives

Thus last month Calvin made $414.90 from all the paintings sold at the art shows.
Answer:
A 40
Step-by-step explanation:
We can find angle K
J + K + L = 180 The angles of a triangle add to 180
50 + K + 90 =180
140 +K = 180
Subtract 140 from each side
140-140 + K = 180-140
K = 40
Since the triangles are congruent
J = P
K = N
L = M
We want to find N
K = N = 40
K = N
Answer:
0.3
Step-by-step explanation:
Answer:100
Step-by-step explanation:
Expand
x = 150 - 0.5x
Add 0.5x to both sides
x + 0.5x = 150
Simplify x + 0.5x to 1.5x
1.5x = 150
Divide both sides by 1.5
x = 150/1.5
Simplify 150/1.5 to 100
x = 100