Answer:
41 + 11i
Step-by-step explanation:
Note that i² = - 1
Given
(3 - 5i)(2 + 7i) ← expand using FOIL
= 6 + 21i - 10i - 35i² ← collect like terms
= 6 + 11i + 35
= 41 + 11i
Answer:
-2 =x
Step-by-step explanation:
3x−2=8x+8
Subtract 3x from each side
3x-3x−2=8x-3x+8
-2 = 5x+8
Subtract 8 from each side
-2-8 = 5x+8-8
-10 = 5x
Divide each side by 5
-10/5 = 5x/5
-2 =x
<span>Kenya exchanges $200 for euros (€).
Suppose the conversion rate is €1 = $1.321.
We are looking for how many euros.
1 : 1.321 = x : 200
1.321 x = 200
x = 151.40 Euros.
So, Kenya should receive 151.40 Euros.
</span>
Problem 1
Answers: Choice A, choice D
The formula you use is
a & c/d = (a*d+c)/d
To convert from mixed number form to improper fraction form.
So,
6 & 2/3 = (6*3+2)/3 = (18+2)/3 = 20/3
And also,
8 & 1/5 = (8*5+1)/5 = (40+1)/5 = 41/5
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Problem 2
Answer: Reflection
Think of how mirrors cause a reflection and this should help you remember the term better. If we reflect point A over some line L, to get point A', then the distance from A to L is the same from A' to L also.
5X^2 - 45
5(X^2 - 9)
5(X - 3)(X + 3)
4X^2 - 324
4(X^2 - 81)
4(X - 9)(X + 9)
