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malfutka [58]
3 years ago
9

Multiply (5 + 3i)(5 − 3i) 16 + 15i 16 − 15i 16 34

Mathematics
2 answers:
Ghella [55]3 years ago
4 0

Answer:

34

Step-by-step explanation:

Annette [7]3 years ago
3 0

Answer:

(5 + 3i)(5 − 3i) = 34

Step-by-step explanation:

The multiplication of two identical binomials who have different symbol, can be solved using the factoring case of a difference of squares:

(a-b).(a+b)=a^{2}-b^{2}

So, in this case:

(5+3i).(5-3i) = 5^{2}-(3i)^{2}

=25-9i^{2}

Remember that i=\sqrt{-1}

So: i^{2}=-1

We replace on the polynomial:

=25-9.(-1) = 25+9=34

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The Sandberg Institute building in Amsterdam generates revenue by selling advertising space on the exterior of the building. The
Contact [7]

Answer:

2.7 million euros per month

Step-by-step explanation:

Since the room is a rectangular prism, we find the area of the room without its top and bottom, which is the area of the walls, A. So,

A = 2(lh + wh) = 2h(l + w) where l = length of room = 50 m, w = width of room = 40 m and h = height of room = 75 m

Substituting the values of the variables into A, we have

A = 2h(l + w)

= 2(75 m)(50 m + 40 m)

= 150 m × 90 m

= 13500 m²

= 13500 × 1m²

= 13500 × 10000 cm²

= 135000000 cm²

= 1.35 × 10⁸ cm²

Now, since 50 cm² of space = 1 Euro per month, then 1.35 × 10⁸ cm²

= 1.35 × 10⁸ cm² × 1 Euro per month/50 cm²

= 0.027 × 10⁸ Euro per month

= 2.7 × 10⁶ Euro per month

= 2.7 million euros per month

So, the institute will earn 2.7 million euros per month

5 0
3 years ago
I NEED HELP NOOOOOWWWWWWWW!!!
Murljashka [212]

Answer:

116

Step-by-step explanation:

7 0
3 years ago
A baby girl weighed 18 lb 10 oz at 11 months and 20 lb 2 oz at 12 months. How much weight did the baby gain during this month?
SVEN [57.7K]

Answer:

B

Step-by-step explanation:

6 oz, 19lb

1 lb, 20lb

2 oz, 20lb 2oz

6oz+2oz+1lb= 1lb 8oz

4 0
3 years ago
What is the value of x in the equation 8+4 = 2(x-1)?<br> 5<br> 11/2<br> 13/2<br> 7
Citrus2011 [14]

Answer:

x = 7

Step-by-step explanation:

I hope this helps!

4 0
3 years ago
What’s the value of x
stiks02 [169]

Answer:

Step-by-step explanation:

Pythagorean theorem:

x² + x² = (9√2)²

2x² = 162

x² = 81

x = 9

4 0
3 years ago
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