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nikitadnepr [17]
3 years ago
10

What is the value of the product (3 - 2i)(3+2i)?

Mathematics
1 answer:
lions [1.4K]3 years ago
5 0

Answer:

13

Step-by-step explanation:

<em>1. Distribute each term in the first binomial to each term in the second binomial,</em> <em>FOIL (first, outer, inner, last)</em>

(3 - 2i) (3 + 2i)

9 + 6i - 6i - 4i^{2}

<em>2. Simplify </em>

9 - 4i^{2}

<em>3. Solve for i. </em>i^{2} = -1

9 - 4 (-1)

9 + 4 = 13

hope this helps!

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Suppose you're making a soup that uses 5 cups of chicken broth and 3⁄4 teaspoons of corn starch for 8 servings. You need to make
yanalaym [24]

Answer:

Option A = 7.5 cups

Step-by-step explanation:

Given : Suppose you're making a soup that uses 5 cups of chicken broth and \frac{3}{4} teaspoons of corn starch for 8 servings. You need to make 12 servings of the soup, so you'll need 1\frac{1}{8} teaspoons of corn starch.

To find : How much broth do you need?

Solution :

A soup that uses 5 cups of chicken broth and \frac{3}{4} teaspoons of corn starch for 8 servings.

i.e. 5 cups + \frac{3}{4} teaspoon = 8 servings  ......(1)

You need to make 12 servings of the soup, so you'll need 1\frac{1}{8}=\frac{9}{8}

i.e. x cups +\frac{9}{8} teaspoon = 12 servings  ........(2)

So, First we find the ratio

Ratio is \frac{12}{8}=\frac{3}{2}

So to equal the ratio multiply (1) by \frac{3}{2}

5\times \frac{3}{2}cups + \frac{3}{4}\times \frac{3}{2} teaspoon = 8\times \frac{3}{2} servings

\frac{15}{2}cups + \frac{9}{8} teaspoon = 12 servings

On comparing with (2),

The value of x is \frac{15}{2}.

Therefore, The broth do we need is \frac{15}{2}=7.5 cups.

So, Option A is correct.

5 0
3 years ago
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Answer:

\boxed{\bold{100 \ m^2}}

Step By Step Explanation:

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Identify 'q'

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\bold{10 \ \cdot\ \ 20 \ = \ 200}

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➤ \boxed{\bold{Mordancy}}

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The next two numbers are 0.24 0.36 Your just adding 0.06. 
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