Answer: 8:15 P.M.
Step-by-step explanation: 3:35 plus a total of 4 hours and 40 minutes
3:35 --- 7:35 ( +4 hours )
7:35 --- 8:15 ( +40 minutes )
Answer:
- Dien - 15 seconds, Jane - 10 seconds
Step-by-step explanation:
<u>Together:</u>
- 2/3 of pizza ⇒ 4 seconds
- Full pizza ⇒ 4 ÷ 2/3 = 6 seconds
Dien needs x seconds to eat pizza
Jane needs x - 5 seconds to eat pizza
<u><em>In one second, Dien can eat 1/x, Jane can eat 1/(x - 5), together 1/6 of a pizza</em></u>
- 1/x + 1/(x - 5) = 1/6
- x(x - 5) = 6(x + x - 5)
- x² - 5x - 12x + 30 = 0
- x² - 17x + 30 = 0
- (x - 15)(x - 2) = 0
- x = 15 (x = 2 is discounted as not realistic)
Dien can eat a pizza in 15 seconds, Jane can eat a pizza in 10 seconds
Answer:
(x -3)² +(y -5)² = 36
Step-by-step explanation:
The center is on the vertical line halfway between the given vertical lines, so is at x=3. It is also on the horizontal line through the point (-3, 5), so is at y=5. The center is 9-3=6 from either tangent line, so this is the radius.
For center (h, k) and radius r, the circle's equation is ...
(x -h)² +(y -k)² = r²
For (h, k) = (3, 5) and r=6, the equation is ...
(x -3)² +(y -5)² = 36 . . . . . . . . does not match any choice written here