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2 answers:
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Answer:
a = 3
Step-by-step explanation:
To get the remainder when these polynomials are divided by x - 2, subsitute(x = 2) into both functions.
Since the remainders are the same, p(2) = f(2)
19 - 4a = 4 + a
19 - 4 = a + 4a
15 = 5a
a = 15/5
a = 3
Answer:
The correct option is D)
Step-by-step explanation:
Consider the provided figure.
We need to find the probability that a random leaf that lands on the rectangle lands within the section shaped like a trapezoid.
For this first find the total area as shown:
The given figure is a rectangle.
The area of rectangle is
Where, l = 6 cm + 3 cm = 9 cm and b = 5cm
Therefore the area of the rectangle is;
Area of rectangle =
Now find the area of trapezoid.
The area of trapezoid is:
Where h is the height and a and b are the parallel sides.
Area of trapezoid =
Thus, the area of trapezoid is 30 cm.
Therefore, the probability that a random leaf that lands on the rectangle lands within the section shaped like a trapezoid is:
Hence, the correct option is D)