Answer:
5-46i
Step-by-step explanation:
1. Multiply (10-4i) and (4-5i), I recomnd using foil:
40-50i-16+20i^2 + (-15+20i)
2. Remove the parenthesis around -15+20i
*we can do this since there is a "+":
40-50i-16+20i^2 + (-15)+20
3. Simplify i^2
* i^2 is -1 by textbook defination:
40-50i-16+20(-1) + (-15)+20
4. Simplify
40-50i-16-20 + (-15)+20
6. Combine like terms:
-5-50i-16i+20i
5-46i
And the problem is done
Let first number = X and 2nd number = Y
Equation 1: 5X + 8Y = -13
Equation 2: 5X + 10Y = -15
Multiply equation 1 by -1 to get: -5X + -8Y = 13
Now add the 2 equations together:
-5X + 5X = 0
-8Y + 10Y = 2Y
13 + -15 = -2
The total of the 2 equations is 2Y = -2
divide both sides by 2 to solve for Y
Y = -2 / 2
Y = -1
Now we know the 2nd number is -1, so replace Y in the 1st equation and solve for X
5X +8(-1) = -13
5x + -8 = -13
Add 8 to both sides:
5x = -5
Divide both sides by 5 to get x
X = -5 / 5
X = -1
Both numbers are -1
To check replace X and Y with -1 and solve:
1st equation: 5(-1) +8(-1) = -5 + -8 = -13 TRUE
2nd equation: 5(-1) +10(-1) = -5 + -10 = -15 TRUE
Both numbers are -1
I'm pretty sure it's C. but i dont count on it... i dont have a paper and pancil to work it out
Small number is 4 and the large number is 12.
12 - 4 = 8
12^2 + 4 = 144 + 4 = 148
Have a nice day sie
7g - 6 = -20
Add 6 to both sides
7g = -14
Divide both sides by 7
g = -2
answer: g = -2
