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JulijaS [17]
3 years ago
13

Multiply and express in the form of a complex number a + b i. (-5 + 3i)(- 4 + 8i)

Mathematics
1 answer:
Andreas93 [3]3 years ago
4 0

Answer:

-4 - 52 i

Step-by-step explanation:

Hope this helps :)

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I have 55 candy canes how many houses do i have to visit until i get 62 candy canes
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If x^2+y^2=1, what is the largest possible value of |x|+|y|?
Marianna [84]

If <em>x</em>² + <em>y</em>² = 1, then <em>y</em> = ±√(1 - <em>x</em>²).

Let <em>f(x)</em> = |<em>x</em>| + |±√(1 - <em>x</em>²)| = |<em>x</em>| + √(1 - <em>x</em>²).

If <em>x</em> < 0, we have |<em>x</em>| = -<em>x</em> ; otherwise, if <em>x</em> ≥ 0, then |<em>x</em>| = <em>x</em>.

• Case 1: suppose <em>x</em> < 0. Then

<em>f(x)</em> = -<em>x</em> + √(1 - <em>x</em>²)

<em>f'(x)</em> = -1 - <em>x</em>/√(1 - <em>x</em>²) = 0   →   <em>x</em> = -1/√2   →   <em>y</em> = ±1/√2

• Case 2: suppose <em>x</em> ≥ 0. Then

<em>f(x)</em> = <em>x</em> + √(1 - <em>x</em>²)

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In either case, |<em>x</em>| = |<em>y</em>| = 1/√2, so the maximum value of their sum is 2/√2 = √2.

6 0
3 years ago
A preschool teacher has 17.5 feet of yarn for her students to make necklaces to raise money for a local animal shelter each neck
Scorpion4ik [409]
17.5x12=210
210 divided by 14=15
15x2.50=37.5
37.5
17.5 is feet so you need to divide by 12 for inches which gets 210 and you need each necklace to be 14 inches so you need to divide 210 by 14 which is 15 each necklace costs 2.50 so you multiply 2.50x15
You get 37.5
7 0
2 years ago
Jodi is cutting out pieces of paper that measure 8 1/2ninches by 11 inches from a large sheet of paper that has a area of 1,000
Tasya [4]

Answer:

93.5 in^2

Step-by-step explanation:

we know that


Jodi is cutting out pieces of paper that measure  inches by  inches


The area of each piece that jodi is cutting out is equal to the area of a rectangle


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3 years ago
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