Answer:
Step-by-step explanation:
Complex numbers are the numbers represented by the expression = a + bi
Here a = real part of the number
bi = imaginary part
a and b are the real numbers.
[Since,
]
Therefore, its a non real complex number.
2 - =
=
=
This number is a Non real complex number.
= 18i
It's a non real complex number.
3 + 2i
It's a non real complex number.
-289
It's a purely real number.
= 4 + 32
= 36
It's a purely real number.
Answer:
b=4
Step-by-step explanation:
So, we have the function . We need to find b such that the average rate of change or the slope is -1/8 between the intervel [2, b]. First, let's find f(2).
f(2) = 1/(2) = 1/2
So, we have the point (2, 1/2)
At point b, f(b) = 1/b.
Let's plug this into the slope formula:
Now, we just need to solve for b. First, let's multiply both the numerator and denominator by b (to get rid of the annoying fraction in the numerator).
Now, cross multiply.
Solve for b. Factor using the numbers -4 and -2.
Thus, b=4 or b=2.
However, b=2 is not a possible solution since the interval [2,2] means nothing. Thus, b=4.
See the attached figure.
m ∠KAJ = 170° & m ∠LAM = 80°
We should know that :
m ∠KAJ + m ∠LAM + m ∠KAL + m ∠MAJ = 360°
∴ m ∠KAL + m ∠MAJ = 360° - (m ∠KAJ + m ∠LAM)
∴ m ∠KAL + m ∠MAJ = 360° - (170°+80°) = 360° - 250° = 110°
But : m ∠KAL = m ∠MAJ ⇒⇒⇒ <u>Opposite angles.</u>
∴ m ∠MAJ + m ∠MAJ = 110°
∴ 2 * m ∠MAJ = 110°
∴ m ∠MAJ = 110° ÷ 2 = 55°
<u>So, the answer is : m ∠MAJ = 55°</u>
Answer: 40%
Step-by-step explanation: First determine whether the number increases or decreases. Since the number changes from 100 to 140 it's getting bigger, so it increases.
To find the percent increase, we use the following formula.
The amount of change is the difference between the two numbers which is 40 and we get this by subtracting 100 from 140. The original number will be the number that we started with which is 100.
140/100 simplifies to 0<em>.</em>4.
Finally, we want the percent increase so we write 0<em>.</em>4 as a percent by moving the decimal point 2 places to the right to get 40%.
Therefore, the percent increase is 40%.
