The potential energy is converted into kinetic energy.
Therefore, for conservation of energy we have:
mgh = (1/2) m * v ^ 2
From here we clear the speed:
v = root (2 * g * h)
The height will then be:
h = v ^ 2 / (2 * g)
Substituting the values:
h = (34) ^ 2 / (2 * (32))
h = 18.0625 feet
Answer: The pear before it fell was 18.0625 feet up in the tree.
Answer:
1
Step-by-step explanation:
Given that both equations are equal, solve the distributive property and then just solve for X:
2x + 2(3x-1) = 3(x+1)
2x + 6x - 2 = 3x + 3
5x = 5
x = 1
Therefore, the value of X is 1.
To know the perimeter of the triangle, we apply the value of X to solve the equation.
3(x + 1)
3(1 + 1)
3 + 3 = 6.
Therefore, each figure's perimeter is 6, as both are equal.
The Awnser is 7.48 inches
Answer:
Third option
Step-by-step explanation:
We can't factor this so we need to use the quadratic formula which states that when ax² + bx + c = 0, x = (-b ± √(b² - 4ac)) / 2a. However, we notice that b (which is 6) is even, so we can use the special quadratic formula which states that when ax² + bx + c = 0 and b is even, x = (-b' ± √(b'² - ac)) / a where b' = b / 2. In this case, a = 1, b' = 3 and c = 7 so:
x = (-3 ± √(3² - 1 * 7)) / 1 = -3 ± √2
Answer:
9x - 15
Step-by-step explanation:
Using the addition of like terms we know that 4x + 2x = 6x, and 6x + 3x = 9x, and then we just put -15 at the end and we end up with 9x - 15
