Answer:
A
Step-by-step explanation:
The distance from the centre to a point on the circle is the radius.
Calculate radius r using the distance formula
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 3, - 2) and (x₂, y₂ ) = (5, - 2)
r = 
= 
= 
= 8 → A
2) x=5 it is this because first u distribute the -2 to both the x and the +1 which gets you -2x-2=-12 then you add 2 (you add because you have to do the opposite of subtracting when you need to isolate the variable) to both sides to isolate 2x so you are left with 2x=10 then to get x all by itself you divide 2 to both sides so you are left with x=5
3) x=6 it is this because first you have to add 8 to both sides because you are doing the opposite to subtracting to get 7x alone so you get 7x=18+4x then you subtract 4x from both sides and get 3x=18 then divide 3 to both sides and you get x=6
4) a=2 it is this because first you distribute 3 into 6a and +12 which gets you 18a+36 , so you new equation will be 18a+36+4a=80 then you combine like terms so you combine 18a and 4a and you add them together to get 22a so your new equation is now 22a+36=80 then you subtract 36 from both sides to isolate 22a you are now left with 22a=44 then you divide 22 to both sides which leaves you with a=2
SORRY THIS IS A LOT! I TRIED TO EXPLAIN THE BEST I CAN! HOPE THIS HELPS :) have a nice day !
<span>The sun is 93,000,000 miles from the Earth. The speed of light is 186,000 miles per second. How long does it take a ray of light to reach the Earth? The correct answer is 8 minutes, 20 seconds.</span>
Answer:
Senior Ticket: $4 Child Ticket: $7
Step-by-step explanation:
We can form two equations, let the price of a senior ticket be s and the price of a child ticket be c.
We have from day 1:
A: 3s + 9c = 75
And from day 2:
B: 8s + 5c = 67
Now we can rewrite A as:
A: 24s + 72c = 600
And can rewrite B as:
B: 24s + 15c = 201
Now A-B can be written as:
A-B: 57c = 399
So c = 7
Now substituting this back into A we get:
A: 3s + 63 = 75
A: 3s = 12
So s = 4
We have the price of a senior ticket is $4 and the price of a child ticket is $7
