Answer:
Get closer to God before its to late
Step-by-step explanation:
Do that
Answer:
The answer is 9
Step-by-step explanation:
Since the diagram is rhombus
Then
Then
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Answers:
- x = 3
- CD = 21
- DE = 16
- CE = 21
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Explanation:
The congruent base angles are D and E. Opposite those angles are the sides CE and CD. These opposite sides are the same length.
CE = CD
16x-27 = 4x+9
16x-4x = 9+27
12x = 36
x = 36/12
x = 3
This x value then leads to the following:
- CD = 4x+9 = 4*3+9 = 12+9 = 21
- DE = 7x-5 = 7*3-5 = 21-5 = 16
- CE = 16x-27 = 16*3-27 = 48-27 = 21
We see that CD and CE are both 21 units long, which helps confirm we have the correct x value.
Answer:
The quadratic mean of 2 real positive numbers is greater than or equal to the arithmetic mean.
Step-by-step explanation:
x and y Quadratic Mean Arithmetic mean
3 and 3 3 3
2 and 3 2.55 2.5
3 and 6 4.74 4.5
2 and 5 3.8 3.5
2 and 17 12.1 9.5
18 and 28 23.5 23
10 and 48 34.7 29
The quadratic mean is always greater than the arithmetic mean except when x and y are the same.
When the difference between the pairs is small the difference in the means is also small. As that difference increases the difference in the means also increases.
So we conjecture that the quadratic mean is always greater than or equal to the arithmetic mean.
Proof.
Suppose it is true then:
√(x^2 + y^2) / 2) ≥ (x + y)/2 Squaring both sides:
(x ^2 + y^2) / 2 ≥ (x + y)^2 / 4 Multiply through by 4:
2x^2 +2y^2 ≥ (x + y)^2
2x^2 +2y^2 >= x^2 + 2xy + y^2
x^2 + y^2 >= 2xy.
x^2 - 2xy + y^2 ≥ 0
(x - y)^2 ≥ 0
This is true because the square of any real number is positive so the original inequality must also be true.
Answer:
Step-by-step explanation:
Deposited amount 8000$
One year - 12 months
divide 8000 by 12
666.666666667
so one month
666.666666667
