Answer:
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Step-by-step explanation:
Im more of a "do it on a piece of paper" guy, but according to some comments, these are good sources.
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Answer: A, B, C, and E
Step-by-step explanation:
If both sides are real numbers, then the product will be a real number.
If in at least one of the sides we have a complex number, then the product will be real if:
The other number is zero.
The other number is the conjugate of the first.
This is when:
Suppose we have a number:
z = a + b*i
The conjugate will be:
w = a - b*i
And the product between them is:
(a + b*i)*(a - b*i) = a^2 + a*b*i - a*b*i + b^2 = a^2 + b^2
Then the options that will have a real answer are:
A. (4+5i)(4-5i) = 4^2 + 5^2 = 16 + 25 = 41
B. (4 + 91)*(41 - 9) = 3040
C. (3 + 2*i)*(3 -2*i) = 3^2 + 2^2 = 9 + 4 = 13
E. (312 + 7i)*(312 - 7i) = 312^2 + 7^2 = 97,393
The slope-intercept form for the line with slope -5 and y-intercept 3 is,
y= -3x+5.
What is the slope-intercept form of a line?
The conventional form Ax + By = C and y= mx + b have been used to describe linear equations. The slope-intercept form y = mx + b will now be the focus of our attention.
You can write a linear function using the slope of the line and the y-intercept in the slope-intercept form.
y=mx+b
Where b is the y-intercept and m is the slope.
A straight line's slope-intercept equation is written as y=mx+b, where m denotes the slope and b is the y-intercept.
In this case, m=3 and b=5 and y=3x+5 y=3x+5 is the necessary equation.
Hence,The slope-intercept form for the line with slope -5 and y-intercept 3 is,
y= -3x+5.
to learn more about slope-intercept from the given link,
brainly.com/question/19440459
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For this case we have the following linear function:
Rewriting we have:
We observe that the linear function has:
Positive slope and equal to 2.
Intersection with the axis y equal to 6.
Answer:
y = 2x + 6
See attached image
Answer:
Addition and subtraction are inverse operations. Start with 7, then add 3 we get 10, now subtract 3 and we get back to 7.
Another Example: Multiplication and division are inverse operations. Start with 6, multiply by 2 we get 12, now divide by 2 and we get back to 6.