Answer:
A
Step-by-step explanation:
f(x) - g(x)
= x² - 8 - (4 - x) ← distribute parenthesis by - 1
= x² - 8 - 4 + x ← collect like terms
= x² + x - 12 → A
A = first piece, b = second piece, c = third piece
a + b + c = 47
b = 3a
c = 5a + 2
a + (3a) + (5a + 2) = 47.....combine like terms
9a + 2 = 47
9a = 47 - 2
9a = 45
a = 45/9
a = 5 ft
b = 3a.....b = 3(5)....b = 15 ft
c = 5a + 2....c = 5(5) + 2.....c = 25 + 2....c = 27 ft
longest piece (c) = 27 ft
6=b6 which you’ll have to divide by 6 on both sides leading to B=1
<u>Answer:</u>
The Kinetic energy of the 110 kg linebacker is 1375 J
<u>Solution:</u>
The kinetic energy of an object is the energy produced by its velocity. Kinetic energy of an object is directly proportional to the mass and the square of the its velocity.
Therefore, the formula for kinetic energy is
Here, The linebacker’s mass m = 110 kg
The linebacker’s velocity v = 5 m/s
So by substituting the values,
The kinetic energy of linebacker is
Answer:
S ≈ 16.49 cm and R ≈ 16.76 cm
Step-by-step explanation:
We are given that:
Length = 16 cm
Width = 4 cm
Height = 3 cm
Thus,
The diagonal S of the bottom side is given by pythagoras theorem;
S² = 16² + 4²
S² = 256 + 16
S² = 272
S = √272
S ≈ 16.49 cm
Since we now have the bottom diagonal, then we can use Pythagoras Theorem to find the diagonal "R" of the box:
So, R² = S² + 3²
R² = (√272)² + 9
R² = 272 + 9
R = √281
R ≈ 16.76 cm
