Zina spends 1.5 hours setting up her sewing machine and making one hat. The total amount of time spent making hats can be repres
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Answer: Jack can fill his feeder 12 times with 4 pounds of birdseed.
Step-by-step explanation:
You need to analize the information given in the exercise, You know that every time Jack fills the feeder, he put pounds into it.
Then, in order to solve this exercise, let "x" represents the number of times that Jack can fill his feeder with 4 pounds of birdseed.
Keeping on mind the data provided in the exercise, you can set up de following proportion:
Finally, you must solve for "x" in order to find its value.
You get that this is:
Therefore, you can conclude that Jack can fill his feeder 12 times with 4 pounds of birdseed.
Answer: The correct option is second, a rotation clockwise about the origin followed by a reflection across the x-axis.
Explanation:
From the given figure it is noticed that the vertices of ΔABC are A(-6,4), B(-4,6), C(-2,2) and vertices of ΔA'B'C' are A'(4,-6), B(6,-4), C(2,-2).
It means if the point is P(x,y) then after transformation it will be P'(y,x).
If a point P(x,y) reflection across the y-axis followed by a reflection across the x-axis, then the image of point after transformation will be P'(-x,-y), therefore it is not the correct option.
If a shape is rotated clockwise about the origin then the point P(x,y) will be P'(y,-x) and after that reflect across the x-axis, so the point after transformation will be P'(y,x), therefore it is the correct option.
If a shape is rotated clockwise about the origin then the point P(x,y) will be P'(-y,x) and after that reflect across the x-axis, so the point after transformation will be P'(-y,-x), therefore it is not the correct option.
If a point P(x,y) reflection across the x-axis followed by a reflection across the y-axis, then the image of point after transformation will be P'(-x,-y), therefore it is not the correct option.
Hence, the correct option is second, a rotation clockwise about the origin followed by a reflection across the x-axis.