Answer:
- C) (x − 3)2 = 25
- C) Factor out 4 from 4x2 + 40x.
Step-by-step explanation:
1. Adding the square of half the x-coefficient to both sides of the equation will "complete the square." That square is 9, so the result on the right is 16+9 = 25. Only selection C matches.
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2. To complete the square, you want to be able to put the quadratic into the form a(x -h)^2 = -k. For the purpose, it is most convenient to first factor "a" from the given quadratic. Then you can determine "-h" to be half the x-coefficient inside the parentheses.
Here, that looks like ...
4(x² +10x) = 80 . . . . . . . . . . step 1: factor out 4
4(x² +10x +25) = 180 . . . . . add 25 inside parentheses and the same number (4·25) on the right side of the equation
4(x +5)² = 180 . . . . . . . . . . . written as a square
Answer:
Your answer would be:
X = -4
-1 <= -4 <= 3.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Answer: 1249 hrs
Step-by-step explanation:
Sophia walked for 12 km to get to her aunt's house.
She did this at a speed of 5km/h which means that the time taken was:
Time = Distance / Speed
= 12 / 5
= 2.4 hours
2.4 in hours:
= 0.4 * 60 minutes
= 24 minutes
= 2 hours 24 minutes
If she left at 1025, she would arrive at:
= 1025 + 2 hours 24
= 1249 hrs
