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 
For this case we must evaluate the following expression:
14 + (- 8) ÷ 2 * -3
According to the method of algebraic resolution, called PEMDAS, the divisions and multiplications must be made from left to right, before the addition and subtraction, then:
14 + (- 4) * - 3 =
We eliminate the parenthesis keeping in mind that 

Equal signs are added and the same sign is placed:

Answer:
26
Answer:
Answer is first line
Step-by-step explanation:
-7(x+9) >= 37+3x
Going to solve for x:
-7x - 63 >= 37 + 3x
-7x - 3x >= 37 + 63
-10x >= 100
x <= 100/-10 (notice the change in equality because we divided by negative)
x <= -10
4 laps because a mile is 1,760 yards and the 440 laps need to be divided into 1,760 so 1,760/440 is 4 so four laps are needed to complete a mile
Using the distance formula we can determine the perimeter of PQR.
Distance formula: d=√(x-x1)^2+(y-y1)^2
distance of PR: √(-2+2)^2+(9+3)^2= 12
distance of QR: √(7+2)^2+(-3+3)^2=9
distance of PQ: √(7+2)^2+(-3-9)^2= 15
Perimeter: 12+9+15=36