Answer:
v= 2.66 m/sec
Step-by-step explanation:
supposing we have to find their speed just as he grabs her.
Applying law of conservation of Energy
That is
p_i= p_f
Initial momentum = p_i = 35×0+ 44×4.9= 210.6 kg.m/sec.
final momentum p_f= (35+44)v
let the final velocity of combined body be v
therefore,
79v= 210.6
v= 2.66 m/sec.
The height of the fence is irrelevant. The bottom of the ladder is 3+8 = 11 feet from the building. The window is 14ft above the ground:
sqrt(14^2+11^2) = length of your ladder.
Answer:
4 vests
Step-by-step explanation:
Larry has 9 yards of fabric, in which 2 are needed to make a vest.
Divide 9 with 2: 9/2 = 4.5
However, note that you cannot have half a vest, so you must round down.
4.5 becomes 4.
4 vests is the maximum Larry can make with 9 yards of fabric.
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Answer:
y = 1/4x - 7/2
Step-by-step explanation:
To answer this question, we have to use point-slope form:
y - y1 = m(x - x1)
Substitute the numbers into the variables:
y - (-4) = 1/4(x - (-2))
y + 4 = 1/4(x + 2)
y + 4 = 1/4x + 1/2
y = 1/4x - 7/2
To verify your answer, simply substitute the values into your equation:
-4 = 1/4(-2) - 7/2
-4 = -1/2 - 7/2
-4 = -8/2
-4 = -4