Answer:
Pan is closest to Paris when she gets to Florence when she is 35 miles away
Step-by-step explanation:
With Paris at (0,0), Rome is 40miles west which is on the negative x axis.
Florence is 35 miles closer (east to Paris) so we have -45 + 35 = -10
and 55 mikes north of Rome which is on the positive y-axis. So Florence is at point (-10,55)
The distance between the two points Florence and Paris is √(x2 - x1)^2 + (y2 - y1)^2
x1 = 0, y1 = 0
x2 = -10, y2 = 55
So we have
√(-10-0)^2 + (55-0)^2
= √(-10)^2 + (55)^2
= √ 100 + 3025
= √3125
= 55.9 mikes from Paris
Pam is closest to Paris when she gets to Florence when she is 35 miles away
If Darren's taxable income is $27,481 and he is the head of household, he will be exempted from tax deductions. If he has already paid $3,847 in federal taxes, he will receive an equivalent amount in return if his tax deduction exceeds his collectible tax. Therefore, his money at the end of the year will total to $31,328.
Answer:
In traffic, she drove for 3 hours
and After the traffic cleared she drove for 2 hours.
Explanation:
Given that the road trip was 136 miles;
The first part of the trip there was lots of traffic, she only averaged 16 mph;
The second part of the trip there was no traffic so she could drive 44 mph;
She traveled for a total of 5 hours;
let x represent the time in traffic when she traveled at 16 mph
the time the traffic is clear would be;
Recall that distance equals speed multiply by time;
substituting the values;
solving for x;
So;
Therefore, In traffic, she drove for 3 hours
and After the traffic cleared she drove for 2 hours.
Answer:
All Real Numbers except for 4
Step-by-step explanation:
Objective: Specify domain and range of a function.
The equation is a linear equation. A linear equation range is all real numbers. However x cannot equal 1 so let plug in x to find where the y value CANT be.
So the range is
All Real Numbers except for 4.
Answer:
1rotation translation dilation
2dilation
3the relationship is the shapes are the same just dilated and in different spots. The shapes are in different spots and are different sizes ut they are the same shape making them related.
Step-by-step explanation:
