Absolute value equations have more than one solution because when the answer is in abs. value, it is positive, so there could be a negative answer and it would still be positive. For example |-5|=5 and |5|=5 as well.
4+|2x|=-1 would have no solution because you cannot have the equation equal a negative since the 2x is in absolute value.
The easiest way to do this is to plot the points. I used the pythagorean theorem for this one, too. Add the side lengths to get the perimeter: 5 + 5 + 5 + 3 + √40 = 24.32455532 units or just 24 units.
Answer:
35 mililiters
Step-by-step explanation:
Given
Required
Accumulated amount from t = 0 to 2
This implies that, we substitute the values of t from 0 to 2 in the function
The accumulated sand (r) is:
Answer:
Step-by-step explanation:
9514 1404 393
Answer:
- figure the areas of the rectangle and semicircle
- add them together
Step-by-step explanation:
The area of the rectangle is given by ...
A = LW
A = (20 m)(14 m) = 280 m²
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The area of the semicircle is ...
A = (1/2)πr²
A = (1/2)π(7 m)² = 24.5π m² ≈ 77 m²
__
Then the total area is ...
280 m² +77 m² = 357 m²
_____
The width of the rectangle is the diameter of the circle, which is twice its radius. The area of a semicircle is 1/2 the area of a circle.
