Answer:
Step-by-step explanation:
Move 
to the denominator in 
using the negative exponent rule 
Answer: –3 + 4i
Step-by-step explanation:
Answer:
y = -4x + 14
Step-by-step explanation:
using the slope intercept form of a line
y = mx + c
Given points
slope (m) =
taking one point as for filling x and y and finding the y intercept (c)
y =mx + c
10 = (-4) × 1 + c
10 + 4 = c
14 = c
therefore the equation is
y = -4x + 14
Answer:
TRUE
Step-by-step explanation:
A complex number is represented as z = x + iy
Given the complex number -5i, this can also be written as;
z = 0-5i
Get the modulus
|z| = √0²+(-5)²
|z| = √25
|z| = 5
Get the argument
theta = arctan(y/x)
theta = arctan(-5/0)
theta = arctan(-∞)
theta = -90degrees
Since tan is negative in the 2nd and fourth quadrant
in the fourth quadrant, theta - 360 - 90
theta = 270 degrees
Express in polar form;
z = |z|(cos theta + i sintheta)
z = 5(cos270°+ison270°)
Hence the statement given is TRUE
Considering that outliers will be disconsidered, the correct statement is:
The coach can use the Interquartile Range to summarize the runners' times.
<h3>What is the Interquartile Range(IQR) of a data-set?</h3>
It is the values of a data-set that are between the 25th percentile and the 75th percentile, that is, the middle 50% of the values. It's advantage in certain situation is that it disconsiders outliers.
In this problem, the best way to summarize the times is disconsidering outliers, hence the Interquartile Range is used, as it indicates how close all runners' times were to each other.
More can be lerned about the Interquartile Range at brainly.com/question/17083142
