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2 answers:
The area of the given figure 156.75 sq cm.
Step-by-step explanation:
Here,
The figure is a trapezium.
In this trapezium
a = 22 cm
b = 6.5 cm
A and b are the length of two parallel sides.
Height (h) = 5.5 cm
To find the area of the figure which is consists of two trapezium
Formula
Area of the trapezium =
Now,
The area of one trapezium = sq cm
= 78.375 sq cm
So,
The area of the figure = 78.375×2 sq cm = 156.75 sq cm
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Answer:
a. attached graph; zero real: 2
b. p(x) = (x - 2)(x + 3 + 3i)(x + 3 - 3i)
c. the solutions are 2, -3-3i and -3+3i
Step-by-step explanation:
p(x) = x³ + 4x² + 6x - 36
a. Through the graph, we can see that 2 is a real zero of the polynomial p. We can also use the Rational Roots Test.
p(2) = 2³ + 4.2² + 6.2 - 36 = 8 + 16 + 12 - 36 = 0
b. Now, we can use Briott-Ruffini to find the other roots and write p as a product of linear factors.
2 | 1 4 6 -36
1 6 18 0
x² + 6x + 18 = 0
Δ = 6² - 4.1.18 = 36 - 72 = -36 = 36i²
√Δ = 6i
x = -6±6i/2 = 2(-3±3i)/2
x' = -3-3i
x" = -3+3i
p(x) = (x - 2)(x + 3 + 3i)(x + 3 - 3i)
c. the solutions are 2, -3-3i and -3+3i
