10 to the 5th power is 100,000. 2 X 5 is 10.
10 X 100,000 is one million.
the answer is 1,000,000. (one million)
<h3>Answer: -13 - i</h3>
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Work Shown:
Let x = 5i-3
That allows us to go from (5i-3)(2i+1) to x(2i+1)
Distribute the x through: x*(2i) + x*(1) = 2i*x + x = 2i(x) + 1(x)
Now we replace every x in 2i(x) + 1(x) with 5i-3, and then we distribute a second time
2i(x) + 1(x) = 2i(5i-3) + 1(5i-3)
2i(x) + 1(x) = 2i(5i)+2i(-3) + 1(5i)+1(-3)
2i(x) + 1(x) = 10i^2 - 6i + 5i - 3
2i(x) + 1(x) = 10(-1) - i - 3
2i(x) + 1(x) = -10 - i - 3
2i(x) + 1(x) = -13 - i
Therefore, (5i-3)(2i+1) = -13 - i
The result is in a+bi form where a = -13 and b = -1.
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An alternative method is to use the box method. This is where you set up a grid that helps you multiply out (5i-3)(2i+1)
See the diagram below.
Each of the 4 red terms in the boxes represents the result of multiplying the outer blue and green terms. Example: 5i times 2i = 10i^2 in row1, column1.
Answer:
1 and 3
Step-by-step explanation:
Answer:
(a) 
(b) 
(c) 
Step-by-step explanation:
To find the exact value in fractions of the followings:
Exponents also called powers its a way of expressing a number multiplied by itself by a certain number of times.
Using
.......[1]
(a)
Fraction represents a part of a whole or more generally, any number of equal parts.
=
[ Using [1]]
(b)
=
[ Using [1]]
(c)
=
[ Using [1]]
Answer:
(1, 3)
Step-by-step explanation:
A 90° clockwise rotation about the origin maps every point
(x, y)→(y, -x).
The coordinates of X are (-3, 1); using this transformation, we have
(-3, 1)→(1, 3).