The acceleration of the bookshelf is equal to 1.30 
<u>Given the following data:</u>
- Mass of bookshelf = 51.5 kilogram
To determine the acceleration of the bookshelf, we would apply Newton's Second Law of Motion:
Newton's Second Law of Motion states that the acceleration of an object is directly proportional to the net force acting on the object while being inversely proportional to its mass.
Mathematically, Newton's Second Law of Motion is given by this formula;

Substituting the given parameters into the formula, we have;

Acceleration = 1.30 
Read more on net force here: brainly.com/question/1121817
Answer:
(-3, 4)
Step-by-step explanation:
let the point P(x, y)
x = (5/7 × (-1+8)) + (-8)
= (5/7 × 7) -8 = 5-8 = -3
y = (5/7 × (8+6)) + (-6)
= (5/7 × 14) -6 = 10-6 = 4
so, P => (-3 , 4)
I believe you answer is 145
Answer:
x=11
BC=19
Step-by-step explanation:
AB+AC=AC this is because B is in between A and C. So now we can substitute all of the line segments, so we have
x+2x-3=30 Now you add 2x and x
3x-3=30 Now you add 3 to both sides so you can get 3x alone on one side
3x=33 Now you divide both sides by 3 so you get the x alone on one side
x=11
The next step is to substitute x to find BC.
BC=2x-3 Substitute the x with 11
BC=2(11)-3 Then multiply 2 and 11 because that is the rule with parenthesis
BC=22-3 then subrtact the 3 from 22
BC=19
You can check your work by doing AB+BC=AC
11+19=30 substitute your answers and then add them together
30=30