Answer:
The answer is
<h2>20 + 56i</h2>
Step-by-step explanation:
(2 -10i) (-5 + 3i)
Using FOIL multiply each term in the first bracket by the terms in the second <u>bracket</u>
That's
2(-5) + 2(3i) - 10i(-5) - 10i(3i)
<u>Multiply the numbers and simplify</u>
We have
- 10 + 6i + 50i - 30i²
From the rules of imaginary numbers
<h3>i² = - 1</h3>
So we have
- 10 + 56i - 30(- 1)
- 10 + 56i + 30
Simplify
30 - 10 + 56i
We have the final answer as
<h3>20 + 56i</h3>
Hope this helps you
<span>The coordinates R(1, -3), S(3, -1) T(5, -7) form a triangle. A triangle is a polygon that has 3 sides and all the angles add up to 180</span>°.
Answer: 15
Step-by-step explanation:
x = one point shots
y = two point shots
1) Setup your equations.
x + y = 52
x + 2y = 89
2) Isolate a variable.
x = 52-y
3) Plug in.
(52-y) + 2y = 89
52 +y =89
y=37
4) Solve for x.
x = 52 -37
x=15
5) Check your answer.
15 + 2(37) = 89
15+74=89
89=89
37+15 = 52
52=52
x = one point shots
y = two point shots
1) Setup your equations.
x + y = 52
x + 2y = 89
2) Isolate a variable.
x = 52-y
3) Plug in.
(52-y) + 2y = 89
52 +y =89
y=37
4) Solve for x.
x = 52 -37
x=15
5) Check your answer.
15 + 2(37) = 89
15+74=89
89=89
37+15 = 52
52=52
Answer:
Step-by-step explanation:
d=m+a/n
Firstly, we multiply n to get rid of it by both sides. Since n is dividing a.
d=m+a/n
*n *n
dn=m+a
-m -m
a=dn-m
Answer:
x > 10
Step-by-step explanation:
4(2x + 2) + 12 > 100
4(2x + 2) > 100 -12
4(2x + 2) > 88
2x + 2 > 22
2x> 22-2
2x > 20
x > 10