Answer:
(x + 5)^2 + (y + 8)^2 = 6^2
Step-by-step explanation:
A circle formula: (x - h)^2 + (y - k)^2 = r^2
We are given diameter. To find the radius divide diameter by 2.
d = 12
12/2 = r = 6
H and K are given to be (-5 , -8)
(x - (-5))^2 + (y - (-8))^2 = 6^2
(x + 5)^2 + (y + 8)^2 = 6^2
I have plot this equation to confirm my answer is correct where the origin is (-5 , -8) and has a radius of 6.
Answer:
Step-by-step explanation:
Let us assume that, x liters of the 5% hydrochloric acid and y liters of the 45% hydrochloric acid solutions are combined.
As Rajan need total of 1 liter of solution, so
i.e --------------------1
As Rajan needs 5% hydrochloric acid and 45% hydrochloric acid to make a 1 liter batch of 15% hydrochloric acid, hence acid content of the mixture of two acids will be same as of the final one, so
i.e -------------2
Putting value of x from equation 1 in equation 2,
Putting the value of y in equation 1,
Therefore, Rajan must use 0.75 liters of 5% hydrochloric acid solution and 0.25 liters of 45% hydrochloric acid solution.