Answer:
Justin's displacement is 12.65 km.
Step-by-step explanation:
Since Justin rides 12 km south, then 4 km west, his displacement can be determined by applying Pythagoras theorem to the sketch of his journey. Let his displacement be represented by s,
= 
+ 
= 
+ 
= 16 + 144
= 160
⇒ s = 
= 12.6491
s ≅ 12.65 km
Justin's displacement is 12.65 km.
Answer: 1) B is correct, constant of variation is -2.
Step-by-step explanation:
1)
Direct variation states that a relationship between the two variables. we say y varies directly as x
i.e, or y =kx.................[1] ; where k is the constant of variation.
Given the equation:
Divide both sides by -4 we get;
Simplify:
.......[2]
On comparing equation [2] with [1] we get;
k = -2
Answer:
30 books
Step-by-step explanation:
bookshelf is 45 inches
each book is 1 1/2 inches
45 / 1 1/2 = 30
30 books can fit on the shelf
Answer:
Subtract c from each side, using the subtraction property of equality
Step-by-step explanation:
0 = ax^2 + bx + c
Subtract c from each side, using the subtraction property of equality
-c = ax^2 + bx + c-c
-c = ax^2 + bx
