Answer:
m = 21 - 72·i can be represented as an ordered pair = (21, -72)
Step-by-step explanation:
When graphing complex numbers, we employ the same approach used for graphing real numbers on the coordinate plane, integrating the Argand plane to create the complex coordinate plane. Here, with a complex number expressed as a + bi, the real part, a, corresponds to the x-coordinate, while the imaginary part, b, is the y-coordinate.
To depict the complex number as an ordered pair, we can state;
a + bi is equivalent to (a, b)
Thus;
Writing the complex number m = 21 - 72·i as an ordered pair in the Argand diagram results in;
m = 21 - 72·i as an ordered pair = (21, -72).
Response:
Explanation in steps:
In this situation, the x-axis indicates the time taken, while the y-axis shows the distance traveled.
Step-by-step explanation:
P(X=1) = P(first heads and second tails) +P(first tails and second heads)
=P(first heads)×P(second tails) + P(first tails) ×P(second heads)
since events are independent P(A∩B) = P(A) ×P(B)
= 0.6 ×0.3 + 0.4 ×0.7
= 0.46
P(X=0) = P(first tails and second tails)
= 0.4 ×0.3
=0.12
P(X=2) = P(first heads and second heads)
= 0.6 ×0.7
= 0.42
Mean E(X) = 0 ×0.12 + 1 × 0.46 + 2 ×0 0.42
=1.3 ( Since mean is a ratio, it may exceed 1 )
Solution:
Refer to the detailed explanation
Step-by-step process:
1 step: 
- provided
2 step: 
- Segments Addition Postulate
3 step: 
- Substitution Property
4 step: 
- Segments Addition Postulate
5 step: 
- Substitution Property
6 step: 
- provided
7 step: 
- Property of Substitution Equality
8 step: 
- Equality Subtraction Property
This triangle is both acute and equilateral.
It consists of three angles that are all acute, as well as having equal sides and angles.
