The factors of p2-2pq+q are
2 answers:
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<span>✡ Answer: 200 </span><span>✡
- - Solve:
✡ First we need to find the formula to solve:
✡ Now:
x is equal to:
</span>
<span>✡Now we are going to multiply
- - 100*2=200 </span>
✡Hope this helps!<span>✡</span>
Answer:
3.189 seconds
Step-by-step explanation:
You want f(t) = 0, so ...
0 = -16t^2 +13.4t +120
0 = t^2 -0.8375t -7.5 . . . . divide by -16
0 = (t^2 -0.8375t +0.41875^2) -7.5 -0.41875^2 . . . . complete the square*
0 = (t -0.41875)^2 -7.6753515625 . . . . write as a square
√7.6753515625 = t -0.41875 . . . . . . . . add 7.67... and take positive root
t = 0.41875 +√7.6753515625 ≈ 3.189192 . . . . add 0.41875
It will take the rock about 3.189 seconds to hit the ground.
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* We complete the square by adding the square of half the coefficient of the linear term (= (-0.8375/2)^2) inside parentheses and subtracting the same amount outside parentheses. This gives a form inside parentheses that is ...
(t^2 -2at +a^2) = (t -a)^2
Completing the square is complicated a little bit by a leading coefficient that is not 1. That is why we divided by -16 first.
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<em>Comment on the question</em>
We note that the rock "falls" from the 120 foot high balcony by first traveling upward at a rate of 13.4 feet per second. We also note that the height function is written f(x), but uses t as the variable. That is, it should be f(t) = ...
Answer:
<em>Scott will take 221 minutes to run 52 km</em>
Step-by-step explanation:
<u>Speed</u>
The speed of an object can be calculated with the formula:
Where d is the distance traveled and t is the time taken.
Scott can run d=20 km in 85 minutes. Thus, his speed is:
Now he wants to know how many minutes it will take him to run d=52 km. Solving the formula for t:
Since the speed has been already determined:
Multiplying by the reciprocal of the denominator:
t = 221 min
Scott will take 221 minutes to run 52 km