The question follows the special product rule of polynomials.
(a-b)(a+b) = a^2 - b^2
From the given, (3-2i)(3+2i), then the answer will be 3^2 - (2i)^2
simplifying the answer:
9 - 4i^2
Take note that i = square root of -1
Then, i^2 = -1
So, 9 - (4 * -1)
= 9 - -4
= 13.
So the answer is 13.
Answer:
the axis labels are inconsistent with the graph title
Step-by-step explanation:
The independent variable is described as "% protein digested", and the dependent variable is described as "time." The graphed values suggest that these are reasonable descriptors for the data being plotted.
The title, however, says the data points are "percentage digestion per hour". This is in disagreement with the axis labels, and is inconsistent with the shape of the curve. (If the title is to be believed, the digestion rate is such that more than 100% of <whatever> has been digested after 10 hours.)
__
<em>Additional comment</em>
Another error is the vertical axis is graduated as though it were linear, but it is decidedly non-linear. Equivalent distances on the graph are shown for differences of 10%, 5%, 10% and 25%. That is the scale varies by a factor of 5 from one part of the graph to another.
We have the Y-Intercept and the X-Intercept
The Y-Intercept implies that the X variable is set to zero and the X-Intercept implies that the Y variable is set to zero when solving equations of a line.
Answer:
Ignacio can make 5 clockwise rotations.
Step-by-step explanation:
Given that the Ignacio's legs are already at a height of 49.3cm and each rotation of the chair knob raises his legs another 4.8cm, we can set up an inequality to determine the number of rotations Ignacio could make without his legs touching the desk, which is at a height of 74.5cm:
4.8r + 49.3 < 74.5 where 'r' is equal to the number of rotations
The sum of the Ignacio's original leg height plus the amount of height increased from the rotations of the know must be less than 74.5 in order for his legs not to touch. Now, solve for 'r':
Subtract 49.3 from both sides: 4.8r + 49.3 - 49.3 < 74.5 - 49.3 or 4.8r < 25.2
Divide 4.8 from both sides: 4.8r/4.8 < 25.2/4.8 or r < 5.25
Since the number of rotations must be less than 5.25, he can make 5 complete rotations.
Answer: £13026.90
Step-by-step explanation:
1.5% of £15060 = 225.90
225.90 x 9 = 2033.10
15060 - 2033.10 = 13026.90
hope this helps ;)
