Answer:
x =
, 
Step-by-step explanation:
First, isolate the absolute value:
5|2x - 7| = 20
divide both sides by 5:
|2x - 7| = 4
break into 2 equations:
2x - 7 = 4, 2x - 7 = -4
solve both equations and collect solutions:
2x = 11, 2x = 3
x =
, 
Answer:
6√10
Step-by-step explanation:
factorizing 6 and 60
6 = 2 x 3
60 = 2 x 2 x 3 x 5
hence
√6 · √60
= √ [ (2 x 3) · (2 x 2 x 3 x 5) ]
= √ (2· 2² · 3² · 5)
= √ (2² · 3²) x √(2·5)
= (2 · 3) x √10
= 6√10
I'm sorry, I don't see the question. Could you please retake the photo in better quality so I could answer it? Thanks!
Answer:
- distance traveled: 30 m
- displacement: 21.4 m
Step-by-step explanation:
You want the distance traveled and the displacement after walking 17 m south and 13 m east.
<h3>Distance</h3>
The distance traveled is the sum of the lengths of each leg of the trip:
17 m + 13 m = 30 m
You have traveled a distance of 30 m.
<h3>Displacement</h3>
The displacement is the distance from your final position to your starting position. If you draw a diagram of the journey, you see the displacement is the hypotenuse of a right triangle with legs 17 m and 13 m. The Pythagorean theorem can help you find this length:
h = √(a² +b²)
h = √(17² +13²) = √(289 +169) = √458 ≈ 21.401
At the end of your walking, you are 21.4 m from where you started.