The original can be rewritten as 
. Because i^2 is equal to -1, we can replace the -1 in each radicand with i^2, like this: 
. Now, i-squared is a perfect square that can be pulled out of each radicand as a single i. 
. 24 has a perfect square hidden in it. 4 * 6 = 24 and 4 is a perfect square. So let's break this up, step by step. 
and then 
. We will now multiply the i and the 2i, and multiply the square root of 6 times the square root of 6: 
. 36 itself is a perfect square because 6 * 6 = 36. So we will do that simplification now. 
. Multiplying the 2 and the 6 gives us 
. But here we are back to the fact that i-squared is equal to -1, so 2(-1)(6) = -12. See how that works?
Can somebody please help me?!! I will give BRAINLIEST!!
1 answer:
Answer:
Step-by-step explanation:
Mark the two points (-1,7) and (1,-1) on the graph. Then draw a straight line between them. To determine the equation that goes through these two points, we can use the two given points to find the slope of the line. The standard form of a straight line equation is
y = mx + b,
where m is the slope and y is the y-intercept (the value of y when x = 0).
Slope is also known as the "Rise"/"Run" - the change in y divided by the change in x. We can use the two points to calculate this:
Rise (-1-(7) = -8 Run = (1 - (-1) = 2
The slope is therefore (-8/2) or -4.
y = -4x + b
We can find b by entering either of the two points in y = -4x + b and solve for b. I'll use (1,-1) since I have my 1's multiplication table memorized
y = -4x + b
-1 = -4(1) + b
b = 3
The straight line equation that connects the two points is
y = -4x + 3
You can graph this equation (e.g., on DESMOS) to see how it intersects the points. <u>[Attached]</u>
The coordinates of the y intercept are (0,3).
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