Answer:
a couple of irrational numbers: -16±4√19, approximately {1.436, -33.436}
Step-by-step explanation:
Your question can be cast as the quadratic equation
x² +32x -48 = 0
The solutions can be found using the quadratic formula:
x = (-32 ±√(32² -4(1)(-48)))/(2(1)) = -16±√304 = -16±4√19
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<em>Comment on the equation we used</em>
We notice that when p and q are roots, the equation can be written ...
(x -p)(x -q) = 0 = x² -(p+q)x +pq
You want p+q = -32, pq = -48, so the equation is ...
x² -(-32)x +(-48) = 0
x² +32x -48 = 0 . . . . . . with parentheses eliminated
Answer:
Step-by-step explanation:
First, you must find the actual decrease in temperature.
Decrease = Yesterday's temperature - Today's temperature
Decrease = 80 - 75
Decrease = 5 degrees
Now, find the percentage decrease.
% Decrease = Actual decrease / Yesterday's temperature x 100
% Decrease = 5/80 x 100
% Decrease = 0.0625 x 100
% Decrease = 6.25 %
So, the percent decrease in high temperature from yesterday to today is 6.25%
Answer:
The answer to the equation is: 4.648
Answer:
0.2kN
Step-by-step explanation:
An hydraulic jack works by the principle that pressure applied to one part in an enclosed liquid is transmitted equally in all parts of the liquid. this is in accordance with Pascal's principle.
Pressure= Force/Area
P=F/A
Pressure due to the load= Pressure due to input force for the system to be in balance.
Let force due to load be F₁, input force be F₂, Area at the load piston be A₁ and the area of the pipe through which the input force transmits be A₂, then,
F₁/A₁=F₂/A₂
10000N/5m²=F₂/1m²
F₂=(1000N×1m²)/5m²
F₂=200N
=0.2kN
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