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.

Answer:
Part A) The triangles ABC and EDC are similar by AAA, because the three internal angles are equal in both triangles
Part B) The width of the river is about 
Step-by-step explanation:
we know that
If two triangles are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent
Part A) we know that
In this problem , triangles ABC and CDE are similar by AAA, because its corresponding angles are congruent
so
m<DCE=m<ACB -----> by vertical angles
m<EDC=m<ABC -----> is a right angle
m<DEC=m<CAB -----> the sum of the internal angles must be equal to 180 degrees
Part B) we know that
The triangles ABC and EDC are similar -------> see Part A
therefore

substitute the values and solve for AB


Answer:
R = 33.35%
Step-by-step explanation:
that is the solution above
<h3>
Answer: the fraction 1/9</h3>
It is approximately equal to 0.1111
=================================
To get this answer, we use the rule

The negative exponent tells us to apply the reciprocal to get the exponent to be positive.
So,

Squaring -3 means you square the negative as well
