In the diagram, line x is parallel to line y,m21= 65°, and m27 = 55°. Stuart says that m212 = 60°. His reasoning is shown. Step
1: mZ8 = 60°, because m21+ m27 +m28 = 180º. Step 2:28 212, because 28 and 212 are corresponding angles. Step 3: So, mZ12 = 60° Use the drop-down menus to explain whether or not Stuart is correct.
2 answers:
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Let the given complex number
z = x + ix =
We have to find the standard form of complex number.
Solution:
∴ x + iy =
Rationalising numerator part of complex number, we get
x + iy =
⇒ x + iy =
Using the algebraic identity:
(a + b)(a - b) = -
⇒ x + iy =
⇒ x + iy = [ ∵
]
⇒ x + iy =
⇒ x + iy =
⇒ x + iy =
⇒ x + iy = 1 - i
Thus, the given complex number in standard form as "1 - i".
The growth factor of the exponential function represented by the table is 5.
The correct option is c.
<h3>What is the growth factor of the exponential function?</h3>The growth factor of the exponential function is the ratio of the two consecutive terms (y-values).
The growth factor of the exponential function is given by;
As per given, we have a table;
x y
-2 0.004
-1 0.02
0 0.1
1 0.5
The value is -2 and
is -1.
Therefore,
the growth factor of the exponential function represented by the table would be :
Hence, the growth factor of the exponential function represented by the table is 5.
To know more about the Growth factor click the link given below.