The larger of the two positive numbers is 8 more than the smaller. The sum of their squares is 104. Find the two numbers.
1 answer:
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Answer:
See below
Step-by-step explanation:
If an expression is not dependent on x, it simplified form must not contain x. To show that this is the case for (a) and (b) we need to simplify them and assess:
(a)
Indeed, does not depend on x!
And (b)
Again, does not depend on x.
Answer:
x = 34°
Step-by-step explanation:
The chord- chord angle x is half the sum of the measures of the arcs intercepted by the angle and its vertical angle.
x = ( AB + CD ) =
(45 + 23)° = 0.5 × 68° = 34°
Answer:
8.2 *10^5 ft lb
Step-by-step explanation:
Wcoal = 800*500 = 400000 = 4*10^5 ft lb
Using a right Riemann sum
The width of the entire region to be estimated = 400 - 0 = 400
Considering 8 equal subdivisions, then the width of each rectangular division is 400/8 = 50
F(x) = 6(400-y)
Wrope = 50(2100) + 50(1800) + 50(1500) + 50(1200) + 50(900) + 50(600)
+ 50(300) + 50(0) = 420000 = 4.2 * 10^5 ft lb
Note: Riemann sum is an approximation, so may not give a accurate value
work done = Wcoal + Wrope= 4*10^5+ 4.2 * 10^5 = 8.2 *10^5 ft lb