Answer:
=
=
=
=
=15
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
we want to prove that A.M, G.M. and H.M between any two unequal positive numbers satisfy the following relations.
- (G.M)²= (A.M)×(H.M)
- A.M>G.M>H.M
well, to do so let the two unequal positive numbers be where:
the AM,GM and HM of and is given by the following table:
<h3>Proof of I:</h3>
simplify addition:
reduce fraction:
simplify complex fraction:
reduce fraction:
rewrite:
hence, PROVEN
<h3>Proof of II:</h3>
square root both sides:
isolate right hand side expression to left hand side and change its sign:
square both sides:
expand using (a-b)²=a²-2ab+b²:
move -2√x_1√x_2 to right hand side and change its sign:
divide both sides by 2:
again,
expand:
move the middle expression to right hand side and change its sign:
cross multiplication:
hence,
PROVEN
You'll need to isolate 9a on the left side of this equation
Please add 7 to both sides of the eqn, obtaining 9a = 117.
Solve for a by dividing both sides by 9: a = 117/9 = 13 (answer)
Answer:
Positive Exponent form: Expanded Form: 1/(5×5×5×5) Simplified Form:
$676.
If the sale price of the coat is $169, you are looking for the original price. I like to think about it in the sense that if an item is 75% off, you are paying 25% of the original amount. Using that logic, in order to determine the sale price you would use the equation
Original price * 25% = $169
To solve for the original price:
Original price = $169/.25 = $676.