Power to a Power: When you have a power to a power, you multiply the exponents (or powers). Quotient of Powers: When you divide exponentials with the same base, you subtract the exponents (or powers). ... Power of a Quotient: When you have a quotient to a power, you give each base its own exponent.
Answer:
The equation of a vertical ellipse is
Step-by-step explanation:
Here, given:
Length of major axis: 20
⇒ 2 a = 20 , or , a = 10
Length of minor axis: 12
⇒ 2 b = 12 , or , b = 6
Also, center (h,k) = (6,3)
Now, STANDARD EQUATION OF ELLIPSE :
Now, substituting the values, a, b , h and k in above expression, we get:
or,
Hence, the equation of a vertical ellipse is
Functions cannot have different values of y for the same value of x. Now let us check each case one at a time.
<u>First Case:</u> For the same value of x=-1, y has two different values of 7 and 1, which is not allowed in a function. Therefore, the first case is not a function.
<u>Second Case:</u> For the same value of x=-1, y has two different values of -5 and 1, which is not allowed in a function. Therefore, the second case is not a function.
<u>Third Case:</u> For the same value of x=3, y has two different values of 2 and 4, which is not allowed in a function. Therefore, third case is not a function.
<u>Fourth Case:</u> In this case no value of x is same. So, this is a function.
East because it is the dimesndion of the quadrilateral