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2 years ago

What is the Square root of -18

Mathematics

1 answer:

Montano1993 [528]2 years ago

5 0

Answer:

3i square root 2

Step-by-step explanation:

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What are the answers????????<br> 18 points..

galina1969 [7]

I don't think anyone can read that, sorry!

3 0

3 years ago

Read 2 more answers

Suppose a family has three children of different ages. We assume that all combinations of boys and girls are equally likely. (a)

Ivan

Answer:

a) There are 8 possible combinations and each probability is 1/8.

b) The probability that it is a boy given that there are two girls is 3/8

Step-by-step explanation:

a) The sample space is given by:

BBB (3 boys)

BBG (Boy, boy, girl)

BGB (Boy, girl, boy)

BGG (Boy, girl, girl)

GBB (girl, boy, boy)

GBG (girl, boy, girl)

GGB (girl, girl, boy)

GGG (3 girls)

The probability of each combination is the same:

P(BBB)=P(B∩B∩B)= $\frac{1}{2} \frac{1}{2} \frac{1}{2}=\frac{1}{8}$

2) There are three possible combinations in which there are 2 girls and 1 boy:

BGG, GBG, GGB

So the probability is given by:

P(BGG ∪ GBG ∪ GGB)= $\frac{1}{2} \frac{1}{2} \frac{1}{2}+\frac{1}{2} \frac{1}{2} \frac{1}{2}+\frac{1}{2} \frac{1}{2} \frac{1}{2}=\frac{3}{8}$

6 0

3 years ago

In y=3x+1, where does the line cross the y axis?

dimaraw [331]

Answer: when x =0

Step-by-step explanation:

Y=3(0)+1

0+1

4 0

3 years ago

If a, b, c are all non -zero and a+b+c= 0, prove a²÷ bc +b²÷ ac +c²÷ ab =3

Step2247 [10]

Combining the fractions gives

$\dfrac{a^2}{bc}+\dfrac{b^2}{ac}+\dfrac{c^2}{ab}=\dfrac{a^3+b^3+c^3}{abc}$

Since $a+b+c=0$ , we also have

$(a+b+c)^3=0$

$a^3+b^3+c^3+3a^2b+3a^2c+3ab^2+3b^2c+3ac^2+3bc^2+6abc=0$

If we add and subtract the last 7 terms of the left hand side to/from the numerator, we get

$\dfrac{(a+b+c)^3-(3a^2b+3a^2c+3ab^2+3b^2c+3ac^2+3bc^2+6abc)}{abc}$

$=-3\dfrac{a^2b+a^2c+ab^2+b^2c+ac^2+bc^2+2abc}{abc}$

$=-3\dfrac{(a+b)(a+c)(b+c)}{abc}$

Also because $a+b+c=0$ , we have

$\begin{cases}a=-(b+c)\\b=-(a+c)\\c=-(a+b)\end{cases}$

so we find that

$-3\dfrac{(a+b)(a+c)(b+c)}{abc}=-3\dfrac{(-c)(-b)(-a)}{abc}=3\dfrac{abc}{abc}=3$

4 0

4 years ago

Find the missing side of each triangle. Leave your answers in simplest radical form.

jeka57 [31]

Answer:

x = 2 $\sqrt{34}$

Step-by-step explanation:

Using Pythagoras identity in the right triangle

x² = 10² + 6² = 100 + 36 = 136 ( take the square root of both sides )

x = $\sqrt{136}$ = $\sqrt{4(34)}$ = 2 $\sqrt{34}$

3 0

3 years ago