
There is one-sided horizontal asymptote
The square root of 72 is rational because the answer can be a real number.
a. 9/10
explanation:
• the denominators (bottom number) are the same so there is no need to change to a common factor
• because the fractions have common factors, you add the top numbers (3+6) to get 9
• then you put the top number over the 10 (9/10) and it’s simplified as much as possible
b. 3/4
explanation:
• each denominator (bottom term) is a factor of 12 so you have to change each fraction to #/12
• to change 1/3, you multiply the top and bottom numbers by 4 (1x4 & 3x4 = 4/12)
• to change 1/4, you multiply the top and bottom numbers by 3 (1x3 & 4x3 = 3/12)
• to change 1/6, you multiple the top and bottom numbers by 2 (1x2 & 6x2 = 2/12)
• then you add each of the top numbers (4+3+2) and put it over the common denominator (12) to get 9/12
- both 9 & 12 are divisible by 3, so you simply by dividing both by 3 to get 3/4
c. 1/3
explanation:
•the denominators are the same, so you subtract 5-3 without changing the denominator & you get 2/6
• then, because both numbers are divisible by 2, you divide both by 2 and get 1/3
Answer:

Step-by-step explanation:
For standard form the circle's equation we need the centre of the circle and the radius.
Step 1: <em><u>Find the centre</u></em>
If the centre is not given find the end points of the diameter
and then find the mid point.
Let the end points of the diameter be : ( - 3 , 8 ) and ( -3 , -4 )
The mid-point of the diameter is :

Therefore, centre of the circle = ( -3 , 2 )
Step 2 : <u>Find radius</u>
<u></u>
<u></u>
Diameter is the distance between the end points ( -3 , 8) and ( -3 , -4 )
That is ,


Therefore ,

Step 3 : <u>Equation of the circle</u>
Standard equation of the circle with centre ( h ,k )
and radius ,r is :

Therefore, the equation of the circle with centre ( -3, 2)
and radius = 6 is :
