Answer:
(x-4)²/16 + (y-8)²/25 = 1
Step-by-step explanation:
center (h,k): ((4+4)/2 , (3+13)/2) = (4 , 8)
a = 13-8 = 5 c = 8-5 = 3
b = √5²-3² = 4
Equation: (x-h)²/b² + (y-k)²/a² = 1
(x-4)²/16 + (y-8)²/25 = 1
ANSWER
m < -2
EXPLANATION
We want to find the solution set for m in:

First, collect like terms:

Now, divide both sides by -3. When you divide an inequality by a negative number, <em>the sign changes direction</em>:

This means that all values of m must be less than -2.
<em>None of the options contains the correct solution set.</em>
Answer:
A ≈ 1900.7 m²
Step-by-step explanation:
The area (A) of the race track is
area of outer circle - area of inner circle
= πR² - πr²
= π × 63² - π × 58²
= π (63² - 58² )
= π(3969 - 3364)
= π × 605
≈ 1900.7 m² ( to 1 dec. place )
Answer:
9/24
Step-by-step explanation:
First, find the LCD: 24.
24/8=3. 3*5=15. So, 2 5/8 becomes 2 15/24.
24/12=2. 2*3=6. So, 2 3/12 becomes 2 6/24.
2 15/24 - 2 6/24 = 9/24.