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goldenfox [79]
2 years ago
13

What is the product of (2+7i)(2-7i) in the from a+bi

Mathematics
2 answers:
eimsori [14]2 years ago
6 0
I = sqrt(-1), i^2 = -1

So multiplying it out;

4 - 14i + 14i - 49i^2

4 - 49 * -1

= 53
Luden [163]2 years ago
6 0

Answer:

Step-by-step explanation:

(2+7i)(2-7i)  =  2² - (7i)²              { ( a+b) (a-b) = a²-b² }

                  = 4 - 7² * i²

                    = 4 - 49* (-1)

                     = 4 + 49

                     = 53

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Part 3: Complete the following metric conversions. Make sure to show all work to receive credit! You may
koban [17]

Answer:

13) 2 g

14) 5,000 mL

15) 104,000 m

16) 160 mm

17) 5,600,000 mg

19) 0.25 km

Step-by-step explanation:

13. Convert 2,000 mg to g:

1 mg = 0.001 g

(2,000 mg * 0.001 g) / 1 mg = 2 g

14. Convert 5 L to mL:

1 L  = 1000 mL

(5 L * 1000 mL) / 1 L = 5,000 mL

15. Convert 104 km to m:

1 km = 1000 m

(104 km * 1000 m) / 1 km = 104,000 m

16. Convert 16 cm to mm:

1 cm = 10 mm

(16 cm * 10 mm) / 1 cm = 160 mm

17. Convert 5.6 kg to mg:

1 kg = 1,000,000 mg

(5.6 kg * 1,000,000 mg) / 1 kg = 5,600,000 mg

19) Convert 250 m to km:

1 m = 0.001 km

(250 m * 0.001 km) / 1 m = 0.25 km

6 0
3 years ago
You run one lap around a mile track every 8 minutes. Your friend runs around the same track every 10 minutes. You both start at
dolphi86 [110]
I'm going to need more information before I can answer.
3 0
3 years ago
Read the following statement: If the sum of two angles is 90°, then the angles are complementary. The hypothesis of the statemen
xeze [42]
Hey there!

It seems your problem is simply trying to rewrite the sentence.

Let's rewrite our sentence, from the phrase after the comma to the phrase before the comma.
Essentially, we are just flipping the sentence structure.

It should be this:
The two angles are complementary if the sum of the two angles are 90 degrees.

Let's take a good look at our answers.

A.) There are two angles.
While this is a true statement, it's a little too vague to understand. We can eliminate this answer choice.

B.) The sum of two angles is 90 degrees.
This is also a true statement, but it doesn't describe what type of angles sum to 90 degrees, so we can eliminate this as well.

C.) The angles are complementary.
This is similar to answer choice A. It's a little too vague for specific understanding. We can eliminate this answer choice.

D.) Angles are complementary if their sum is 90 degrees.
This is an accurate statement, and provides details to support it's claim, also rewriting the original sentences into one properly. This answer choice is correct.

Your answer is D.)

I hope this helps!
8 0
3 years ago
1. Find the point that is a solution for y = 6x + 8
Daniel [21]
An easy way to solve this equation is to plug in the coordinates.

A. 6(2) + 8 ≠ 1

✅ B. 6(-1) + 8 = 2

C. 6(2) + 8 ≠ 4

D. 6(-2) + 8 ≠ 4
6 0
2 years ago
PLEASE HELP WITH THIS ONE QUESTION
Semmy [17]

The 1st graph is the answer.

8 0
2 years ago
Read 2 more answers
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