Identify the equation of the circle that has its center at (-3, -4) and passes through the origin.
a. (x−3)^2+(y−4)^2=25
b. (x+3) ^2+(y+4)^2=25
c. (x−3) ^2+(y−4)^2=5
d. (x+3) ^2+(y+4)^2=5

Option B. (x+3) ^2+(y+4)^2=25

Step-by-step explanation:

we know that

The equation of the circle in standard form is equal to

where

(h,k) is the center and r is the radius

step 1

Find the radius of the circle

Remember that the distance of the center and any point on the circle is equal to the radius of the circle

so

Find the distance between the points (-3,-4) and (0,0)

the formula to calculate the distance between two points is equal to

substitute

step 2

Find the equation of the circle

the center is the point (-3,-4) and the radius is r=5 units

substitute

sites:

step-by-step explanation:

let's assume

number of candles set =x

price of of x candles =p(x)

we are given

a candle maker prices one set of scented candles at $10 and sells an average of 200 sets each week

so, we get point as (200,10)

he finds that when he reduces the price by $1, he then sells 50 more candle sets each week

so, we can find slope

now, we can use point slope form of line

now, we can plug values

we can use point

and find b

now, we can plug it back

and we get

now, we can find revenue

we know that

revenue = price*quantity

so, we get