Find the domain and solve: √(6+x−x2)=9

Step-by-step explanation:

√(6+x−x²)=9

the domain :

6+x-x² ≥ 0

(3-x)(2+x) ≥0

-2 ≤ x ≤ 3

problem solving:

√(6+x−x²)=9

6+x−x²=81

-x²+x+6-81 = 0

-x²+x-75 = 0

x²-x+75 = 0

D = 1² -4(1)(75) = 1-300 = -299

since D < 0, the equation doesn't have any real numbers solution

i leave the calculator work to you.

7. diameter 4 miles, circumference 4π miles

8. radius 0.2 miles, circumference 0.4π miles

[this is a bad problem because the actual radius of a car on the track is less than 0.2 miles so the answer is less than 0.4π miles]

9. radius 6 feet, circumference 12π feet

10. diameter 14 cm, circumference 14π cm

11. diameter 4.8 feet, circumference 4.8π feet

d. is the correct answer

step-by-step explanation: