Answer:
Option B
Option C
Step-by-step explanation:
⇒ , which is a real number.
Similarly,
And we also know that
So, we see that odd powers of is a complex number and even powers renders us a real number.
Using this we solve the problem.
Option A: 11 is an odd power. This would be a complex number and not a real number.
Option B: Even power of i. So, this should give us a real number.
Option C:
(a + bi)² = a² - b² + 2abi
So, (2 + 3i)² would be a complex number because of the 2bi term.
Option D: (4 + 5i)(4 - 5i)
(a + ib)(a - ib) = a² + b²
So, (4 + 5i)(4 - 5i) = 4² + 5² = 41, a real number.
Option E: (6 + 8i)(8 + 6i)
(a + ib)(c + id) = ac - bd + (ad + bc)i
This would be a complex number because of the (ad + bc) term.
So, Options B and D are real numbers.
Anzelm wants to burn 540 calories while jogging. Jogging burns about 12 calories per minute.
he usually plans to stop and rest for about 5 minutes.
m represents the total minutes.
12 calories per minute.
for m minutes the calories burn is 12m
He stop and rest for about 5 minutes. so we need to subtract 5 from total minutes
So expression becomes 12(m-5)
He wants to burn 540 calories. So we set the calories = 540
The equation becomes ,
12(m-5) = 540
Now we solve for m , total number of minutes
12(m-5) = 540(divide by 12 on both sides)
m - 5 = 45
m = 50 ( add 5 on both sides)
Anzelm should plan to be out jogging for 50 minutes
Answer:
38
Step-by-step explanation:
25+11=36+2=38 that is the answer
It these triangles are similar, then the sides of the triangles are in proportion:
cross multiply
use distributive property
subtract 10y from both sides
divide both sides by 5
cross multiply
divide both sides by 8
Answer:
Your answer is D. Hoped i helped
Step-by-step explanation:
plot each coordinate, Then see which has the most/all in the shaded area.
Tart & Sweet's total profit from April to June is -$2.
Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.
Given:
Tart & Sweet is a lemonade stand.
From the following chart,
In April month,
the stand has profit of -$8.
In May month,
the stand has profit of $2.
In June month,
the stand has profit of $4.
To find the total profit from April to June:
Add all the profits,
-8+2+4
= -8 + 6
= -2
That means, the loss of $2 or profit of -$2.
Therefore, the profit of lemonade stand is -$2.
To learn more about the addition;
#SPJ2
Answer:
-2
Step-by-step explanation:
well just add the blue which is 6 then add the red which is 8 then subtract them to get 2 and since negative is greater it will be -2