Answer:
1.320 ,
2.322
Step-by-step explanation:
1. Given that,
a+1/a=18
now,
(a- 1/a)² =( a+1/a)² - 4a. 1/a [(a- b)² =( a+b)² - 4a. b ]
=18² - 4 . 1 [as, a . 1/a =1 ]
=324 - 4
=320
2.Given that,
a - 1/a=4
now,
a⁴+(1/a)⁴
=(a²)² + (1/a²)² [a⁴=(a²)² & (1/a)⁴=(1/a²)²]
=(a²+1/a²) ²- 2 a². (1/a²) [a²+b²=(a+b)²-2ab]
=[(a - 1/a)² +2.a. 1/a]² - 2 [a²+b²=(a-b)²+2ab]
=[4²+2]² -2
=[16+2]²-2
=18²-2
=324-2
=322
For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

Where:
m: It's the slope
b: It is the cut-off point with the y axis
We have two points through which the line passes:

We found the slope:

Substituting we have:

Thus, the equation is of the form:

We substitute one of the points and find the cut-off point:

Finally, the equation is:

ANswer:

Answer: Option A. 65 m^2
Solution:
Sides: a=10 m, b=14 m, c=20 m
Area: A=?
A=sqrt [p(p-a)(p-b)(p-c) ]
Semi-perimeter: p=(a+b+c)/2
p=(10 m+14 m+20 m)/2
p=(44 m)/2
p=22 m
A=sqrt [ (22 m)(22 m-10 m)(22 m-14 m)(22 m-20 m)]
A=sqrt [ (22 m)(12 m)(8 m)(2 m) ]
A=sqrt [ 4,224 m^4 ]
A=64.99230723 m^2
A=65 m^2
Answer: The answer is (d) It is an irrational number.
Step-by-step explanation: Given formula for circumference of a circle is

where 'd' is the length of the diameter and a rational number.
We are to choose one of the given four options for the circumference 'c' of the circle.
We know that the circumference of a circle with diameter 'd' is given by

Comparing this with the given equation, we get

Now, the product of a rational and an irrational number is again irrational, so 'r × d' will be an irrational number.
Hence, the circumference, c = rd is irrational.
Thus, the correct option is (d) It is an irrational number.
Answer:
best ans is { f(x)| –∞ < f(x) ≤ 4}
Step-by-step explanation:
usually to find the range of a fn, u need to see what the value can be. the graph show only a small range of x values. but u can see f(x) is definitely <u><</u> 4. so the ans is { f(x)| –∞ < f(x) ≤ 4}