Answer:
(0,-2)
Step-by-step explanation:
We have the following equation:
x2 + y2 + 42x + 38y - 47 = 0
We rewrite the equation:
x2 + 42x + y2 + 38y - 47 = 0
x2 + 42x + y2 + 38y = 47
Rewriting we have:
x2 + 42x + (42/2) ^ 2 + y2 + 38y + (38/2) ^ 2 = 47 + (42/2) ^ 2 + (38/2) ^ 2
x2 + 42x + 441 + y2 + 38y + 361 = 47 + 441 + 361
Rewriting we have:
(x + 21) ^ 2 + (y + 19) ^ 2 = 849
The center of the circle is:
(x, y) = (-21, -19)
The radio is:
r = root (849)
r = (849) ^ 2
A circle of the same radius is given by:
x ^ 2 + y ^ 2 - 50x - 30y + 1 = 0
Let's check:
x ^ 2 - 50x + y ^ 2 - 30y + 1 = 0
x ^ 2 - 50x + y ^ 2 - 30y = - 1
x ^ 2 - 50x + (-50/2) ^ 2 + y ^ 2 - 30y + (-30/2) ^ 2 = - 1 + (-30/2) ^ 2 + (-50/2) ^ 2
x ^ 2 - 50x + (-50/2) ^ 2 + y ^ 2 - 30y + (-30/2) ^ 2 = - 1 + 225 + 625
(x-25) ^ 2 + (y-15) ^ 2 = 849
Answer:
(x + 21) ^ 2 + (y + 19) ^ 2 = 849
(x, y) = (-21, -19)
r = (849) ^ 2
x ^ 2 + y ^ 2 - 50x - 30y + 1 = 0
Answer: Answer is 3
BC 6
------ = ------
XY 3
Step-by-step explanation:
The statements below can be used to prove that the triangles are similar.
On a coordinate plane, right triangles A B C and X Y Z are shown. Y Z is 3 units long and B C is 6 units long.
A B Over X Y = 4 Over 2
?
A C Over X Z = 52 Over 13
△ABC ~ △XYZ by the SSS similarity theorem.
Which mathematical statement is missing?
1. Y Z Over B C = 6 Over 3
2. ∠B ≅ ∠Y
3. B C Over Y Z = 6 Over 3
4. ∠B ≅ ∠Z
Answer:
Step-by-step explanation:
<u>Below numbers are divisible by the number of students:</u>
<u>Lets find GCF of 24 and 36:</u>
- 24 = 2*2*2*3
- 36 = 2*2*3*3
- GCF(24,36) = 2*2*3 = 12
The largest possible number of students is 12
Answer:
10,000,000
Step-by-step explanation:
you round up, so that makes it 10,000,000
