d = √((x1 - x2)2 + (y1 - y2)2)
( -2 , 5 ) ( 12 , -1 )
↑ ↑ ↑ ↑
x1 y1 x2 y2
d = √((-2 - 12)2 + (5 - (-1))2) = √((-14)2 + 62) = √(196 + 36) = √232 = 2√58 ≈ 15.23
Answer:
The answer to your question is:
a) 31.75 cm
b) 0.475 miles
c) 2.44 yards
d) 11496.04 inches
Explanation:
Convert
a) 12.5 in to cm
1 in ------------------- 2.54 cm
12.5 in ---------------- x
x = 12.5(2.54)/1 = 31.75/ = 31.75 cm
b) 2513 ft to miles
1 mile -------------- 5280 ft
x miles ------------ 2513 ft
x = 2513(1)/5280 = 0.475 miles
c) 2.23 m to yards
1 m ------------- 1,094 yards
2.23 m ---------- x
x= 2.23x1.094/1 = 2.44 yards
d) 292 m to inches
1 m ---------------- 39.37 inches
292 m ------------- x
x = 292 x 39.37/1 = 11496.04 inches
When you use exponents, think of it like this. 1 squared is 1 x 1. 1 cubed is 1 x 1 x 1. And 1 to the power of 4 is 1 x 1 x 1 x 1. And so on. You basically just multiply them by themselves. 0 to the power of any exponent is 1, well that's just a rule. It doesn't make much sense but it's easy to remember and I wouldn't worry about it.
