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Lisa [10]
3 years ago
12

What is the absolute value of the complex number -4- V2/?

Mathematics
1 answer:
Dovator [93]3 years ago
5 0

Answer:

3\sqrt{2}

Step-by-step explanation:

Given the complex number z = a + bi then the absolute value is

| z | = \sqrt{a^2+b^2}

Given - 4 - \sqrt{2} i, then absolute value is

\sqrt{(-4)^2+(-\sqrt{2})^2 }

= \sqrt{16+2}

= \sqrt{18} = \sqrt{9(2)} = 3\sqrt{2}

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Meg has a can that contains 80% of orange juice and the rest water. The can has 1 liter of water.
ladessa [460]
Let O be the amount of orange juice and W be the amount of water.

A)
O = 0.8W

B)
W = 1, so:
O = 0.8(1)
O = 0.8 Liters
7 0
3 years ago
What is the distance between the points (-3,-2) and (6, 10)?
Alja [10]

Answer:

The distance between (-3,-2) and (6, 10) =15

Step-by-step explanation:

The distance between the two points having given coordinates can be find by using the distance formula.

i.e  Distance= \sqrt{(x_2-x_1)+(y_2-y_1)}

For the given coordinates (-3,-2) and (6, 10)  the distance between the two points is :

Distance = \sqrt{(6-(-3))^2+(10-(-2))^2} \\=\sqrt{(6+3)^2+(10+2)^2}\\ =\sqrt{9^2+12^2}\\ =\sqrt{81+144} \\=\sqrt{225} \\=15

8 0
3 years ago
Read 2 more answers
Jose wants to build a rectangular kennel for his dog. His dad will let him use a spot in the corner of the yard that is 12 feet
Varvara68 [4.7K]
The answer is 42 ft 4 in

The perimeter of a rectangle with length l and width w is:
P = 2l + 2w

l = 12 ft 3 in
w = 8 ft 11 in

1 ft = 12 in
l = 12 * 12 in + 3 in = 144 in + 3 in = 147 in
w = 8 * 12 in + 11 in = 96 in + 11 in = 107 in

P = 2 * 147 + 2 * 107 = 294 + 214 = 508 in
P = 508 in = 504 in + 4 in = 42 * 12 in + 4 in = 42 ft 4 in
7 0
3 years ago
Your brother ordered some pens on the internet. It cost 2$ for each pen and the shipping fee is 3$. If your brother paid a total
Mars2501 [29]

Answer:

10pens

Step-by-step explanation:

23-3=20

20÷2=10

5 0
3 years ago
what is 432,010.1 in word form and nine hundred forty-five and thirty-five hundredths in standard form and seventy-three thousan
Arisa [49]

1. Four hundred thousand thirty two and ten point one


2. Standard form is adding it out ( 945.35 ) = 900 + 40 + 5 + .30 + .05


3. Expanded form ( 73,890 )

 | ten thousands | thousands | hundred  | tens | ones | decimal | tenths | hundredths |

          7                    3                   8            9        0            .               0               1

8 0
4 years ago
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