John and David start at the same spot. John goes 4 miles north and 3 miles west. David goes 1 mile south and some unknown amount of miles east. If they are 13 miles apart from each other then how many miles east did David go?

Answer: 9
(Don’t put miles or anything after just put the number)

Did you make a sketch ??

let the unknown easterly distance of David be x

I see a total vertical displacement of 5 and a total horizontal displacement
of x+3
Since the hypotenuse is 13, I see the 5-12-13 right-angled triangle, so
x+3 = 12 ----> x = 9

If you did not recognize the standard 5-12-13 triangle, then:
(x+3)^2 + 5^2 = 13^2
(x+3)^2 = 169-25 = 144
x+3 = √144 = 12
x = 9

yea we need a sketch to

does any one have the answers to the 2nd question

Homework:January Portfolio 2022 Check

Question 2, Instructor-created question
HW Score: 33.33%, 1 of 3 points
Points: 0 of 1

Question content area
Part 1
Answer the following as an expression with​ "w" meaning the boxes of wood and​ "n" meaning
the boxes of nails.
What does David​ need?
  
enter your response here
What does Lora​ need?
  
enter your response here
What does Valerie​ need?
  
enter your response here
How many more boxes of wood and how many more boxes of nails does David need than​ Valerie? Answer as an expression
  
enter your response here

This doesnt make any since to me at all....question number 2 has no numbers at all?

To solve this problem, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In our case, John and David's paths form a right triangle with one side measuring 4 miles north and 3 miles west for John, and another side measuring 1 mile south and x miles east for David. The missing side, which represents the distance between John and David, is given as 13 miles.

So, let's calculate the distance between John and David using the Pythagorean theorem:

Distance^2 = (4 miles)^2 + (3 miles)^2
Distance^2 = 16 miles^2 + 9 miles^2
Distance^2 = 25 miles^2
Distance = √25 miles
Distance = 5 miles

Since we're given that the distance between John and David is 13 miles, and David traveled 1 mile south, we can subtract this distance from the total distance to find out how many miles east David went:

Distance between David and John = Total distance - Distance traveled south by David

13 miles = 5 miles + Distance traveled east by David
Distance traveled east by David = 13 miles - 5 miles
Distance traveled east by David = 8 miles

Hence, David traveled 8 miles east to end up 13 miles apart from John.