Answer:
x^2 + y^2 + 16x + 6y + 9 = 0
Step-by-step explanation:
Using the formula for equation of a circle
(x - a)^2 + (y + b)^2 = r^2
(a, b) - the center
r - radius of the circle
Inserting the values given in the question
(-8,3) and r = 8
a - -8
b - 3
r - 8
[ x -(-8)]^2 + (y+3)^2 = 8^2
(x + 8)^2 + (y + 3)^2 = 8^2
Solving the brackets
( x + 8)(x + 8) + (y +3)(y+3) = 64
x^2 + 16x + 64 + y^2 + 6y + 9 = 64
Rearranging algebrally,.
x^2 + y^2 + 16x + 6y + 9+64 - 64 = 0
Bringing in 64, thereby changing the + sign to -
Therefore, the equation of the circle =
x^2 + y^2 + 16x + 6y + 9 = 0
Answer:
center
Step-by-step explanation:
Can I have a thanks, 5 star, brainliest and tell me if right?
The fraction of the box of pancake that eliza used is; 1/8.
<h3>What are fractions?</h3>
We are told that the box of pancake mix has 6 cups.
Now, Eliza uses 3/4 of a cup for a recipe.
Since there are 6 cups in the box, it means the fraction of the box of pancake that Eliza used is;
(3/4)/6 = 3/24 = 1/8
In conclusion, the fraction of the box of pancake that eliza used is 1/8.
Read more about fractions at; brainly.com/question/122227
Answer:
The answer is 32.6741573034
Step-by-step explanation:
Answer:
5sqrt3
Step-by-step explanation:
Using the pythagorean theorem, we have a^2+4^2=9^2
a^2 + 16 = 81
a^2 = 75.
a = sqrt75.
75 = 25*3. 25 is a perfect square, so sqrt75 = 5sqrt3
