Question

late help?

The graph shows the locations of Karen's, Amanda's, and Zaley's houses on a coordinate plane. Each unit on the graph represents 1 block. 


 

Zaley is going to babysit for Amanda and Karen. How many total blocks will she travel if she goes to Amanda's house, then to Karen's, and finally back home? Round your answer to the nearest whole block. 
 8 blocks
 18 blocks
 19 blocks
 27 blocks 

Answer 1

do you know the formula

\[AB=\sqrt{(x _{2} -x _{1})^{2}+(y _{2}-y _{2})^{2}}\]

where AB is distance between two points and (x1;y1) and (x2;y2) are coordinates of points?

Answer 2

I do not know the formula. i did not lr]earn it.

Answer 3

hm,I don't know how else you can calculate then, tho.

Well. Or you can... Since one unit is 1 block and all three houses form a right triangle, you can find a distance from Zaley's house to Amanda's only simple by counting units on the graph and it is 5 units, which means 5 blocks.

From Amanda to Karen she will need to go 7 units, which means seven blocks.

The problem is with goin frm Karen's to Zaley's, because it is not a 'straight line', so you will need to use pythagoras theorem, do you know how to use it?

Answer 4

maybe @hartnn can check any other way to solve it

Answer 5

pythagoras theorem is the other way, which you already explained

Answer 6

@RebeleCo518 so do you know pythagoras theorem? You know that your sides are 5 and 7, and you need to find hypotenuse

Answer 7

ok! i know how to do that!

Answer 8

or you can use a bit of logic,since you have an options of answers

Answer 9

ok:)

Answer 10

a/8?

Answer 11

no, you need to find not the distance from Karen to Zaley, but from Zaley to Amanda to Karen, which is 5+7+9=21,but I am not sure why there is no answer;o

Answer 12

maybe I have counted the blocks incorrectly,let me check

Answer 13

so from Zaley to Amanda is 5 blocks (recounted again)

Answer 14

from Amanda to Karen is 6 blocks (sorry, first time I made a mistake)

Answer 15

so frm Karen to Zaley is 8 blocks

Answer 16

so to go from Zaley to Amanda to Karen to Zaley is 5+6+8=19:)

Answer 17

thanks!

Answer 18

you are welcome;)

Answer 19

so... I don't get a couple others, i tried doing the theorem but still couldn't get it

Answer 20

The graph shows the location of Jacob's, Kent's, and Hakim's houses. Each unit on the graph represents 1 kilometer.

A coordinate plane is shown. Hakims house is located at negative 3, 1, Jacobs house is located at 1, 5, and Kents house is located at 1, 1. Line segments connect the points to form a right triangle.

Hakim is preparing for a cross country meet. Hakim is going to run from his house to Jacob's, then to Kent's, and finally back home. How many total kilometers did Hakim run? Round your answer to the nearest whole kilometer.

6 kilometers

14 kilometers

18 kilometers

22 kilometers

Answer 21

What is the length of segment AB?


10

12

13

15

Answer 22

What is the distance between A and B? Round your answer to the nearest tenth.


6.4

7.3

8.2

9.1

Answer 23

@hartnn ?

Answer 24

All these problems need to use the Pythagorean Theorem:
\(a^2 + b^2 = c^2\)

Answer 25

i tried the second one and had no such luck. and the first one i just don't get how to do.

Answer 26

The 3rd one is 6.4 I believe.

Answer 27

first one-14?

Answer 28

2nd one seems rather hard, but is it 10/a?

Answer 29

The first problem:
Zaley goes from home to Amanda's: 5 blocks
Zaley goes from Amanda's to Karen's: 6 blocks
Zaley goes from Karen's to her home:
\(c^2 = a^2 + b^2\)
\(c^2 = 5^2 + 6^2 \)
\(c^2 = 25 + 36\)
\(c^2 = 61\)
\(\sqrt{c^2} = \sqrt{61} \)
\(c = 7.8\)
Total distance: 5 blocks + 6 blocks + 7.8 blocks = 18.8 blocks
Round off to nearest block: 19 blocks
Answer: C

Answer 30

The second problem:
Hakim goes from his house to Jacob's:
\(c^2=a^2+b^2\)
\(c^2=4^2+4^2\)
\(c^2=16+16\)
\(c^2=32\)
\(\sqrt{c^2} = \sqrt{32}\)
\(c=5.7\)
Rounded to nearest km, from Hakim's to Jacob's: 6 km
Hakim goes from Jacob's to Kent's: 4 km
Hakim goes from Kent's to his house: 4 km
Total distance: 6 km + 4 km + 4 km = 14 km
Answer: B

Answer 31

@rebeleco518
I answered the first two problems in your post. Since the problems in your post need the Pythagoras theorem, go over the answers I gave. Then try to use the same method for the other problems. If you still have questions, ask.