Answer: 7/3
Step-by-step explanation:
R-P= (3,-7). the displacement vector.
P+x(R-P) moves to x times distance between
P+(R-P) = R moves to 100% of the distance.
Q = P+2/3(R-P)
= (-2,7)+2/3(3,-7)
= (-2,7)+(2,-14/3)
= (0,7-14/3)
= (0,7/3)
= (0,2.3333...)
A vertical line that passes through (-5,0)
Answer:
The last graph.
Step-by-step explanation:
In the first graph, the darker triangle has one side that is 1/3 of the corresponding side of the other triangle, and one side that is 2/5 of the corresponding side of the other triangle. This is not proportional for all sides, so this is not a dilation.
In the second graph, the darker triangle has one side that is 1/2 of the corresponding side of the other triangle, and one side that is 3/5 of the corresponding side of the other triangle. This is not proportional for all sides, so this is not a dilation.
In the third graph, the darker triangle has one side that is 1/3 of the corresponding side of the other triangle, and one side that is 1/2 of the corresponding side of the other triangle. This is not proportional for all sides, so this is not a dilation.
In the fourth graph, the darker triangle has one side that is 2/3 of the corresponding side of he other triangle, and another side that is 4/6=2/3 of the corresponding side of the other triangle. Since these are both right triangles, this means the other side, the hypotenuse, will have the same ratio. Since it is proportional for all sides, this is a dilation.
This can be solved by using a simple algebraic equation.
For example, in the first column, Caleb worked 5 hours. We do not know how much he makes per hour, so let that be x. He earned a total of $36.25, so the equation can be written as 5x=36.25.
Divide by 5 on both sides, and you get x= 7.25
He earns $7.25 per hour of work.
Repeat this for all the workers:
Jeremy: 7.5x=65.25
x= $8.70
Maria: 4.25x=34.00
x= $8
Rosa: 8x=54.00
x= $6.75
Jeremy has the greatest hourly rate
