Answer: g = 10
Step-by-step explanation: 8g + 3 = –6g + 13g + 13
8g + 3 = (–6g + 13g) + (13)
8g + 3 = 7g + 13
8g + 3 - 7g = 7g + 13 - 7g
g + 3 = 13
g + 3 - 3 = 13 - 3
g = 10
Answer:
Step-by-step explanation:
In going from (5, 5) to (10, 8), x (the run) increases by 5 and y (the rise) increases by 3. Thus, the slope of the line connecting the first two points is m = 3/5.
In going from (1, 13) to (4, 8), x (the run) increases by 3 and y (the rise) decreases by 5. Thus, the slope of the line connecting the first two points is m = -5/3
Because these results are negative reciprocals of one another, the two lines are PERPENDICULAR to one another.
Answer:
9.2
Step-by-step explanation:
first i added 5 + 3 = 8
then i did 1 1/5 + 8=9 1/5
9514 1404 393
Answer:
- 320 m after 8 seconds
- 5.6 seconds, 10.4 seconds to height of 290 m
Step-by-step explanation:
To find the height at 8 seconds, evaluate the formula for t=8.
S(t) = -5t^2 +80t
S(8) = -5(8^2) +80(8) = -320 +640 = 320
The height of the rocket is 320 meters 8 seconds after takeoff.
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To find the time to 290 meters height, solve ...
S(t) = 290
290 = -5t^2 +80t
-58 = t^2 -16t . . . . . . . divide by -5
6 = t^2 -16t +64 . . . . . complete the square by adding 64
±√6 = t -8 . . . . . . . . . take the square root
t = 8 ±√6 ≈ {5.551, 10.449}
The rocket is at 290 meters height after 5.6 seconds and again after 10.4 seconds.
Answer:
a² - 5a - 36
Step-by-step explanation:
(a - 9)(a + 4)
each term in the second factor is multiplied by each term in the first factor, that is
a(a + 4) - 9(a + 4) ← distribute parenthesis
= a² + 4a - 9a - 36 ← collect like terms
= a² - 5a - 36
