Answer:
43-7i
Step-by-step explanation:
We are given the expression:
First, expand 3-4i in 6i+7. To expand binomial with binomial, first we expand 3 in 6i+7 then expand -4i in 6i+7.
![\displaystyle \large{[(3 \cdot 6i) + (3 \cdot 7) + ( - 4i \cdot 6i) + ( - 4i \cdot 7)]- (2 - 3i)} \\ \displaystyle \large{[18i + 21 - 24 {i}^{2} - 28i]- (2 - 3i)}](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Clarge%7B%5B%283%20%5Ccdot%206i%29%20%2B%20%283%20%5Ccdot%207%29%20%2B%20%28%20-%204i%20%5Ccdot%206i%29%20%2B%20%28%20-%204i%20%5Ccdot%207%29%5D-%20%282%20-%203i%29%7D%20%20%5C%5C%20%20%5Cdisplaystyle%20%5Clarge%7B%5B18i%20%2B%2021%20%20-%2024%20%7Bi%7D%5E%7B2%7D%20%20-%2028i%5D-%20%282%20-%203i%29%7D%20)
Now combine like terms.
![\displaystyle \large{[ - 10i+ 21 - 24 {i}^{2} ]- (2 - 3i)}](https://tex.z-dn.net/?f=%20%20%5Cdisplaystyle%20%5Clarge%7B%5B%20-%2010i%2B%2021%20%20-%2024%20%7Bi%7D%5E%7B2%7D%20%5D-%20%282%20-%203i%29%7D%20)
<u>I</u><u>m</u><u>a</u><u>g</u><u>i</u><u>n</u><u>a</u><u>r</u><u>y</u><u> </u><u>U</u><u>n</u><u>i</u><u>t</u>
Therefore:-
![\displaystyle \large{[ - 10i+ 21 - 24 ( - 1) ]- (2 - 3i)} \\ \displaystyle \large{[ - 10i+ 21 + 24]- (2 - 3i)} \\ \displaystyle \large{[ - 10i+ 45]- (2 - 3i)}](https://tex.z-dn.net/?f=%20%20%5Cdisplaystyle%20%5Clarge%7B%5B%20-%2010i%2B%2021%20%20-%2024%20%20%28%20-%201%29%20%5D-%20%282%20-%203i%29%7D%20%20%5C%5C%20%20%20%5Cdisplaystyle%20%5Clarge%7B%5B%20-%2010i%2B%2021%20%20%20%2B%2024%5D-%20%282%20-%203i%29%7D%20%20%5C%5C%20%20%20%5Cdisplaystyle%20%5Clarge%7B%5B%20-%2010i%2B%2045%5D-%20%282%20-%203i%29%7D%20)
Then expand negative sign in 2-3i; remember that negative times negative is positive and negative times positive is negative.
Combine like terms.
Volume of a square pyramid when the area of the base is known is area x height/3
Volume = 48 x 8/3 = 128 cubic cm.
The answer is 489,300.
Work:
We go to the tenth's place, which is 9. Since 9 is higher than 5, we need to round the hundredth's place to 3.
<em>Please refer to the attachment for the answer and explanation. Hope it helps!!</em>
Answer:
y=-2x+13
Step-by-step explanation:
Slope-intercept form of a line is y=mx+b where m is slope and b is y-intercept.
The slope of y=-2x-2 is -2 since m=-2.
A line that is parallel to the given line is going to have the same slope.
So we already know the equation we are looking for should be in the form y=-2x+b.
We just to need to find b.
We can use the given point on our line do that.
5=-2(4)+b
5=-8+b
8+5=b
13=b
So the equation is y=-2x+13.
