Answer:
Step-by-step explanation:
Standard form of a circle is given by,
(x - a)² + (y - b)² = r²
Here, (a, b) is the center and 'r' is the radius of the circle.
For a circle having center (8, -4) and radius r = 1
Equation of the circle will be,
(x - 8)² + (y + 4)² = 1²
(x - 8)² + (y + 4)² = 1
Option (1) is the answer.
Question (2)
Circle with the center (-1, 0) and a point (2, -4) on it,
Radius of the circle = Distance between the center and the given point on circumference
= 
= 
= 
= 5
Therefore, equation of the circle will be,
(x + 1)² + (y - 0)² = 5²
(x + 1)² + y² = 25
<span>I did the 38 times pi and got 119.3805 then multiplied it by 11
To get 1313.1855
Then divided by 2=
656.59275
And divided by pi
208.9999
Then round up.</span>
Question D:
The terms in the expression are '60a' and '30c'
Question E:
Factors of 60a could be
2 × 30 × a
3 × 20 × a
4 × 15 × a
5 × 12 × a
6 × 10 × a
Question F
Factors of 30c could be
2 × 15 × c
3 × 10 × c
5 × 6 × c
Question G
Coefficient of 60a is '60'
Coefficient of 30c is '30'
Question H
The meaning of the two terms
Term '60a' means multiply the value of 'a' by 60 to find the total cost for 'a' number of adults
Term '30c' means multiply the value of 'c' by 30 to find the total cost for 'c' number of children
Answer:
a = 2/3
Step-by-step explanation:
A cube root is the same as a 1/3 power. The square of that gives a 2/3 power.
a = 2/3
_____
<em>Additional comment</em>
You can see the relationship between a root index and an exponent if you consider what the root means.
Consider a cube root, for example. When you cube the root, you get the original number:
(∛x)·(∛x)·(∛x) = x
Now, let's write the root as a power of x: x^a.
(x^a)·(x^a)·(x^a) = x . . . . . where x^a = ∛x
We know this product is ...
x^(a+a+a) = x^(3a) = x^1
This tells us that ...
3a = 1 ⇒ a = 1/3
That is, ∛x = x^(1/3).
Of course an n-th root is multiplied by itself n times to get the original number, so the corresponding exponent is x^(1/n).
