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3 years ago

Express √ − 100 - 100 in terms of i i

Mathematics

2 answers:

Hunter-Best [27]3 years ago

4 0

Answer:

14.1421*i

Step-by-step explanation:

barxatty [35]3 years ago

4 0

Answer:

The answer would be 10i.

Step-by-step explanation:

Given expression,

$\sqrt{-100}$

$=\sqrt{-(10)^2}$

$=\sqrt{-1}\times \sqrt{10^2}$ $(\because \sqrt{ab}=\sqrt{a}\times \sqrt{b})$

$=\sqrt{-1}\times (10^2)^\frac{1}{2}$ $(\because \sqrt{a}=a^\frac{1}{2})$

$=i\times (10)^{2\times \frac{1}{2}}$ $(\because (a^m)^n = a^{mn})$

$=10i$

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Suppose that you draw two cards from a deck. After drawing the first card, you do not put the first card back in the deck. What

S_A_V [24]

Answer:

(B) 0.0588

Step-by-step explanation:

The probability is calculated as a division between the number of possibilities that satisfy a condition and the number of total possibilities. Then, the probability that the first card is diamonds is:

$P_1=\frac{13}{52}$

Because the deck has 52 cards and 13 of them are diamonds.

Then, if the first card was diamonds, the probability that the second card is also diamond is:

$P_2=\frac{12}{51}$

Because now, we just have 51 cards and 12 of them are diamonds.

Therefore, the probability that both cards are diamonds is calculated as a multiplication between $P_1$ and $P_2$ . This is:

$P=\frac{13}{52}*\frac{12}{51}=\frac{1}{17}=0.0588$

8 0

3 years ago

Find the solution to the equation below.<br> 2x^2+3x-20=0

mariarad [96]

Answer:

x = -4, 5/2

Step-by-step explanation:

A quadratic can be solved may ways, including graphing, factoring, and the quadratic formula. You can also check possible answers by making use of the relationships between solutions and the coefficients.

A graph is attached. It shows the solutions to be -4 and 5/2.

When factored, the equation becomes ...

(2x -5)(x +4) = 0 . . . . . has solutions x=-4, x=5/2 (these make the factors zero)

Using the quadratic formula, the solutions of ax^2 +bx +c = 0 are found from ...

x = (-b±√(b²-4ac))/(2a)

x = (-3±√(3²-4(2)(-20))/(2(2)) = (-3±√169)/4 = {-16, +10}/4

x = {-4, 5/2}

For ax^2 +bx +c = 0, the solutions must satisfy ...

product of solutions is c/a = -20/2 = -10

Only the first and last choices have this product.

sum of solutions is -b/a = -3/2

Only the first choice (-4, 5/2) has this sum.

8 0

3 years ago

Write the set of points greater than or equal to −5−5 but strictly less than 44, excluding 00, as a union of two intervals (if y

Alecsey [184]

What we want to draw is the half closed interval:

I= [-5, 4) excluding 0,

as the union of 2 different intervals say a and b.

Let a be the interval containing the smallest value.

Then the smallest value of a is -5, and the largest possible value of a is 0, not included, if we want to write a as an interval, without "gaps", or "holes".

So a=[-5, 0)

similarly, b=(0, 4).

Answer: [-5, 4)=[-5, 0)∪(0, 4)

7 0

3 years ago

Graph the image of the given triangle after the transformation with the rule (x, y)→(x, −y) .

Zarrin [17]

Firstly, we will select three corner points

A=(2,3)

B=(6,8)

C=(7,4)

we are given

the transformation with the rule (x, y)→(x, −y)

y--->-y

so, it is reflected about x-axis

so, we will multiply y-value by -1

we get new points as

A=(2,-3)

B=(6,-8)

C=(7,-4)

now, we can locate these points and draw graph

we get

4 0

3 years ago

Read 2 more answers

A Red Queen is multiplying 32 x 17. She says the answer is going to be greater than 17. Do you Disagree or Agree with her?Why?

QveST [7]

Answer:

Yes

Step-by-step explanation:

Because 17 times 32 equals 224

6 0

3 years ago