The standard equation of a circle is given by:
(x-a)²+(y-b)²=r²
where:
(a,b) is the center and r is the radius.
Given that (a,b) is (-8,-3) and r=2 units
then the equation of the circle will be:
(x-(-8))²+(y-(-3))²=2²
simplifying the above we get:
(x+8)²+(y+3)²=4
I will solve for you right now.
Year New flowers
1 1200
2 300
3 75
There were 1200 wildflowers in the first year that the park started tracking them. Since then, there have been one fourth as many new flowers each year
Initially there are 1200 flowers and start decreasing by 
So first term is 1200 and common ratio is .
Its a geometric sequence so summation becomes
i =1∑ ∞ 1200(
Now we find the sum
We use sum formula
Where a is the first term , a= 1200
r is the common ratio , r= 1/4
Sum = 1600 wildflowers
Answer:
A(...; 7)
x =-1/5
B(8; ...)
y = 48
The slope is 5
Step-by-step explanation:
y−5x=8
A(...; 7)
We know that y=7, we need to find x
7 - 5x = 8
Subtract 7 from each side
7-7 -5x = 8-7
-5x =1
Divide by -5
-5x/-5 = 1/-5
x =-1/5
B(8; ...)
We know x = 8 we need to find y
y−5x=8
y - 5(8) = 8
y - 40 =8
Add 40 to each side
y-40+40 = 8+40
y = 48
Now we need to find the slope
y - 5x =8
Add 5x to each side
y -5x+5x = 5x+8
y = 5x+8
This is in the form y = mx+b where m is the slope
The slope is 5
0 is the starting pointing for equations that are for positive numbers. 0 sets an easy way to figure out problems that have negatives. 0 is important to solve any problem with integers, and decimals!
