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3 years ago

Express in simplest a+bi form: Square root of 1b + Square root of -1b

Mathematics

1 answer:

Nimfa-mama [501]3 years ago

5 0

Express in simplest a+bi form: Square root of 1b + Square root of -1b

$\sqrt{1b} + \sqrt{-1b}$

Lets simplify $\sqrt{-b}$

We know $\sqrt{-1} = i$

$\sqrt{-b} =i\sqrt{b)$

We cannot simplify $\sqrt{1b}$

$\sqrt{1b} + \sqrt{-1b}$

$\sqrt{1b} + i\sqrt{b}$

So a + ib form is $\sqrt{1b} + i\sqrt{b}$

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Simplify using appropriate identity 0.85 × 0.85 +2 × 0.85 ×0.15 × 0.15

spayn [35]

The answer is 0.76075!

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3 years ago

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. A fence encloses a triangular field. There is

poizon [28]

Answer:

16 posts

Step-by-step explanation:

Sides are:

20 ft, 25 ft and 35 ft

There are following number of posts on each of the sides:

20 ft side ⇒ 20/5 = 4
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3 years ago

Brianna has 4 pink bracelets. One third of all her bracelets are pink. How many bracelets does brianna have?

aivan3 [116]

Hey there!

Let's first evaluate this problem, and the keyword we need to use. The problem says that out of the total number of bracelets Brianna has, x, 1/3 of them are pink. The reason the word of is so important throughout math is that it signifies multiplication. For example, 1/2 of 10 is 5 because 1/2 times 10 is 5.

Now, to apply that to this situation, we need to create an equation, a mathematical statement that indicated the equilibrium or equality of two values. Since we have 1/3 of all her bracelets, x is four, we can set up our equation. Here's another good keyword- is. Is signifies an equation, because it means "equal to" mathematically. For example, 5 is equal to 20/4.

We have:

1/3(x) = 4

(One-third of x, the total amount of bracelets, is four.)

We don't want that fraction there. In order to get rid of it and keep the expression equal, we multiply both sides by 3. We have,

x = 12

Hope this helps!

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3 years ago

Which equation could be solved using this application of the quadratic formula? A. -2x2 â’ 8 = 10x â’ 3 B. 3x2 â’ 8x â’ 10 = 4 C

hodyreva [135]

The given question can be solve using quadratic formula.

The correct option is (c) $3x^2 +8x -10=-8$ .

Given:

The given equation is,

$x=\dfrac{-8\pm\sqrt{8^2-4(3)(-1)}} {2(3)}$ ---------------------------(1)

Write the general quadratic equation.

$ax^2 + bx +c=0$

Write the quadratic formula.

$x =\dfrac {-b \pm \sqrt{(b^2 - 4ac)} } {2a}$ ------------------------------- (2)

Compare equation (1) and (2).

$a=3\\b=8\\c=-2$

Substitute the value of $a$ , $b$ and $c$ in general quadratic.

$3x^2 +8x -2=0$

Subtract $8$ from each side of above equation.

$3x^2 +8x -2 -8=0-8\\3x^2 +8x -10=-8$

Thus, the correct option is (c) $3x^2 +8x -10=-8$ .

Learn more about quadratic equation here:

brainly.com/question/17177510

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2 years ago

USA Today reported that Parkfield, California, is dubbed the world's earthquake capital because it sits on top of the notorious

UNO [17]

Answer:

probability of Number of earth quakes in a fixed interval of time is to be determined at a mean rate of 1.2 times once every 22 years.

Step-by-step explanation:

Poisson probability distribution is used to determine probability of an event in a fixed interval of time and space given that the event occurs with known mean rate and independently of time since its last occurance.

In this scenario,

Mean is 1.2 times once every 22 years.

probability of number of earth quakes in any fixed interval of time is to be determined

occurance of event that is number of earth quake in a fixed interval is independent variable.

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3 years ago