Answer:
By long division (x³ + 7·x² + 12·x + 6) ÷ (x + 1) gives the expression;

Step-by-step explanation:
The polynomial that is to be divided by long division is x³ + 7·x² + 12·x + 6
The polynomial that divides the given polynomial is x + 1
Therefore, we have;

(x³ + 7·x² + 12·x + 6) ÷ (x + 1) = x² + 5·x + 7 Remainder -1
Expressing the result in the form
, we have;
Answer:
2 hours
Step-by-step explanation:
The question is asking us to get the meeting point of the two and at what time would they arrive here given their individual speeds. Now what needs to be done here is first add their average speeds.
The total average speed = 325 + 25 = 350km/h
Now the distance the helicopter would have traveled would be ; 325/350 * 700 = 650km
The remaining distance left for the boat would be 700 - 650 = 50km
Now the time taken for this would be 650/325 or 50/25 = 2hours
You can think of a square as two isosceles right angle triangles and use Pythagoras.
x^2 + x^2 = 22^2
x^2 + x^2 = 484
2x^2 = 484
x^2 = 242
x = 11√2
One side of the playground is 11√2 m long.
Ratio gives the fractional division of a whole into a given portion. Manu's will get 400 while Swapna will get 560.
To divide 960 in the ratio 5 : 7
- Sum the ratio = (5 + 7) = 12
- Manu's share = 5 × (960/12) = 400
- Swapna's share = 7 × (960/12) = 560
Therefore, Manu and Swapna's share is 400 and 560 respectively.
Learn more : brainly.com/question/13218948