Answer:
When we rotate a point A(1, 4) 180 degrees counterclockwise about the origin, the coordinates of point A(1, 4) transformed to A'(-1, -4).
Step-by-step explanation:
We know that 180 Degree Rotation.
We know that when we rotate a point, let say P(x, y), 180 degrees counterclockwise about the origin, the coordinates of point P(x, y) transformed to P'(-x, -y).
In other words, the sign of both x and y coordinates are reversed.
Thus, the rule is:
P(x, y) → P'(-x, -y)
Given the point (1, 4)
P(x, y) → P'(-x, -y)
A(1, 4) → A'(-1, -4)
Thus, when we rotate a point A(1, 4) 180 degrees counterclockwise about the origin, the coordinates of point A(1, 4) transformed to A'(-1, -4).
The first Venn diagram would be the best because 18 students play baseball and one side has 13 13+5=18 and for basketball 12+5=17
Answerº the first Venn diagram.
Answer:
m = -2
Step-by-step explanation:
<em>Distribute first.</em>
24 = -6(m+1) + 18
24 = -6m - 6 + 18
<em>Then you combine like terms.</em>
24= -6m + 12
<em>Then you still combine like terms. You subtract 12 from each side.</em>
24 = -6m + 12
-12 - 12
12= -6m
<em>Then divide by -6 to isolate the variable.</em>
12 = -6m
/-6 /-6
-2 = m
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the teacher has 2 1/4 pounds of clay so none of the students have enough
