Answer:
<h2>(2 + 2i)(5 + 3i) = 4 + 16i</h2>
Step-by-step explanation:
Use FOIL: <em>(a + b)(c + d) = ac + ad + bc + bd</em>
and i² = -1
(2 + 2i)(5 + 3i) = (2)(5) + (2)(3i) + (2i)(5) + (2i)(3i)
= 10 + 6i + 10i + 6i² = 10 + 6i + 10i + 6(-1)
= 10 + 6i + 10i - 6 <em>combine like terms</em>
= (10 - 6) + (6i + 10i)
= 4 + 16i
Answer:
Use the equation 250+25w=400+20w
Step-by-step explanation:
Replace w with one of the answers until you get the right one.
pretty sure its 35 but I don't have a calculator with me so double check
Answer 9
The first value behind the decimal point is 0.
When rounding if the value is 0-4 then the value you are rounding to remains the same.
If the value is 5-9 then the value would round up.
However, because it is a 0 it remains a 9.
Answer: um i think you asked the question wrong. But ok.
Step-by-step explanation:
= 47 miles per hour
This is a fraction equal to
47 miles ÷ 1 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 1
47 miles ÷ 1
1 hours ÷ 1
=
47 miles
1 hour
=
47 miles
hour
= 47 miles per hour
Answer:
The value of y = 30 when x = 5
Step-by-step explanation:
We know that when 'y' varies directly proportional to 'x', we get the equation
y ∝ x
y = kx
k = y/x
where k is called the 'constant of direct variation'.
We are given
y = 12 when x = 2
so substituting y = 12 and x = 2 in the equation
k = y/x
k = 12/2
k = 6
Thus, the value of k = 6
We have to determine the value of y when x = 5
so substitute x = 5 and k = 6 in the equation
y = kx
y = 6(5)
y = 30
Therefore, the value of y = 30 when x = 5