Why is it a problem to find the square root of a negative number, for example √-4?

Answers

Answer 1

Answer:

It is not possible because no number times itself can equal a negative number.

Answer 2

Answer:

Taking the square root of a negative number is a problem because this technically does not follow the rules of a square root. A square root is made of a number times itself, and therefore, is impossible to have a negative times a positive to make a negative total (An example would be √4, as the answer can be 2 (because 2 x 2 = 4) or -2 (because -2 x -2 = 4)).

This means that in order to solve √-4, you must use imaginary numbers. This is represented by "i."

For the example of √-4, your answer would be 2i. These imaginary numbers are used whenever you are square rooting a negative number in order to show that it is breaking the real rules of roots.


Related Questions

Which is a factor of x^2+ x - 12?

Answers

Answer:

(x+4) and (x-3)

Step-by-step explanation:

Find two numbers that add to be the second term and multiply to be the third In this case, those two numbers are 4 and -3

What two numbers when multiplied yield -12 but when added produce the coefficient of the middle term x?

How about 4 times -3?

Look: 4(-3) = -12, but when added give you 1.

(x - 3) (x + 4)

Done!

b) The ratio 3:5 can be written in the form 1:n

Answers

You would do 3 divided by 3 and 5 divided by 3 so 1:1.7

What is the perimeter of the triangle?

Answers

Answer:

The answer is 36

Step-by-step explanation:

First, suppose that each square is the unit length, and from it the length of the hall can be calculated and we find that it is equal to 10, then to find the value of the other two we drop a column of the vertex of the triangle on the base and find that its length is 12 units and it divides the base into two equal halves, so we determine that each side equals 13 units using Pythagoras and it will be The lengths of the sides of the triangle are 10, 13, 13

Then the perimeter is

[tex]10 + 13 + 13 = 36[/tex]

HELP!!
Can someone please help me on these two questions ?

Answers

What two questions? Is there supposed to be a photo?
Where is the question

The sum of 6 and y is greater than – 16.

Answers

Answer: 6+y < -16

Step-by-step explanation:

if 10 KM = 5/6 hour, 1 hour=

Answers

Answer:

Step-by-step explanation:

10/5x6=12

Consider the quadratic expression given below.

4x^2 + 8x - 60

Factor the following expression completely.

Answers

Answer:

4(x + 5)(x - 3)

Step-by-step explanation:

Given

4x² + 8x - 60 ← factor out 4 from each term

= 4(x² + 2x - 15) ← factor the quadratic

Consider the factors of the constant term (- 15) which sum to give the coefficient of the x- term (+ 2)

The factors are + 5 and - 3 , since

+ 5 × - 3 = - 15 and + 5 - 3 = + 2, then

x² + 2x - 15 = (x + 5)(x - 3)

Then

4x² + 8x - 60 = 4(x + 5)(x - 3) ← in factored form

Both my numerator and my denominator are even numbers, and their sum is 68. I am equivalent to 7/10
.

What fraction am I?

Answers

Answer:

28/40

Explenation:

28+40= 68. 28/40 simplified is 7/10ths and both 28 and 40 are even numbers.

HELPPPPP ME PLEASE!!!!!!!!

Answers

Answer: Median 38 / Mean 24.5

Step-by-step explanation:

The median is 38

and

The mean is 24.5

To find the median just find the number in the middle of an odd set

but if it happens to be an even number add the 2 middle numbers together and divide them by 2

To find the Mean add all of the numbers and divide them by the number of sets ( in this instance its 4 )

a) converts into minutes 4 hours 30 minutes​

Answers

Answer:

270 Minutes

Step-by-step explanation:

4hours = 240 Minutes

+30 minutes = 270 Minutes

Answer would be 270:) hope it helped

How many terms are in the expression below.

15+7x-8+4

Answers

Answer:

None

Step-by-step explanation:

I don't think you count terms that are being added together. You can only count if they are terms when you multiply or divide but never when you add or subtract I AM pretty sure.

Tell me if I'm wrong.

Answer:

4

Step-by-step explanation:

I really need help please :))))))

Answers

Answer:

If there were 25% fewer sunny days this year, then the answer would be 75%. This is because there are(100-25)% of the sunny days this year compared to last year.

Let me know if this helps!

For an angle with measure x in a right triangle, sin x = 112/113
and tan x = 112/15. What is the value of cos x?

Answers

Answer:

cosx=Adj/hyp

cosx=15/113

does anyone know SSS and SAS??​

Answers

It means SSS means side, side, side and SAS is Side, Angle, Side

Help me with this math assignment please ASAP

Answers

Answer:

5 I don't know if it's right but I am a trying

Gavin took a taxi home from the airport. The taxi fare was $7 plus an additional $0.65 per mile.
Gavin gives the driver a $3 tip when he arrives home. If Gavin paid a total of $62.65 with the tip,
what is the distance between the airport and Gavin's house?

Answers

Answer:

81

Step-by-step explanation:

$62.65-$7-$3=$52.65

Distance->52.65÷0.65=81

81 miles, he paid 7$ and 3$ for a total of 10$ not including the expense per miles, so you would subtract 10$ off of 62.65$ to get 52.65$ for how much he paid for the distance, and then divide 52.65$ by 0.65$ to get 81 miles

The length of a rectangle is twice its width. The perimeter is 60 f. Find its area.
A-2002
A-902
A-1002

Answers

Answer:

Length of the rectangle= 20

breadth of the rectangle= 10

area = l*b

=20*10

=200

The blue dot is at what value on the number line?

Answers

I need more info to answer
each line has a decrease of 2, we can tell this by the given values of -7 and -3.

the answer would be 1

hope this helped, pls mark brainliest!

Don José tiene un terreno de forma cuadrangular el cual mide 1369 metros cuadrados de área si desea colocarle un contorno con un lazo a todo el terreno que medida tendrá que tener el lazo

Answers

Answer:

1370 metros creo no se tal ves

A horizontal line includes the points (0, -2) and (3, -2). Find the slope of the line.

wil give BRAINLIEST
pls answer correctly

Answers

Answer:

We conclude that the slope of the line containing the points (0, -2) and (3, -2) is:

[tex]m = 0[/tex]

Step-by-step explanation:

Given that the line includes the points

(0, -2)(3, -2)

We need to find the slope of the line containing the points between (0, -2) and (3, -2) using the formula

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

where m is the slope between (x₁, y₁) and (x₂, y₂)

In our case,

(x₁, y₁) = (0, -2)(x₂, y₂) = (3, -2)

now substituting (x₁, y₁) = (0, -2) and (x₂, y₂) = (3, -2) in the slope formula

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{-2-\left(-2\right)}{3-0}[/tex]

[tex]m=\frac{-2+2}{3}[/tex]

[tex]m=\frac{0}{3}[/tex]

[tex]m = 0[/tex]

Therefore, we conclude that the slope of the line containing the points (0, -2) and (3, -2) is:

[tex]m = 0[/tex]

What scale factor was applied to the first rectangle to get the resulting image?

Answers

Answer:

2.5

Step-by-step explanation:

7.5/2=2.5

HELPPPPPP SOMEONE PLEASE

Answers

Answer:

the answer should be A) 12

Step-by-step explanation:

54 ÷ 3^2 × 2

54 ÷ (3 × 3) × 2

54 ÷ 9 × 2

6 × 2

12

3 teas and 2 coffees have a total cost of £7.80.

5 teas and 4 coffees have a total cost of £14.20.

Work out the cost of one tea and the cost of one coffee.​

Answers

Answer:

coffee is £1.80 per cup and tea is £1.40 per cup

Step by Step:

The question can be written algebraically, as:(a) 3t + 2c = 7.80(b) 5t + 4c = 14.20To work out the individual costs, we need to make one of the sets of variables equal. We can do this by multiplying the equation (a), giving (c):(a) 6t + 4c = 15.60(c) 5t + 4c = 14.20We can then subtract (c) from (a), giving:t = 1.40T can then be substituted into the initial equation (a), to work out the value of c:(3 x 1.40) +2c = 7.804.20 +2c = 7.802c = 3.60c = 1.80Finally we can check these values by substituting into (b):(5 x 1.40) + (4 x 1.80) = 7 + 7.2 = 14.20Then make sure to show your answers clearly, with units:coffee is £1.80 per cup and tea is £1.40 per cup

prove that there is only one circle determined by three noncollinear points

Answers

Answer:

O lies on the perpendicular bisector of AB. ... Then, O' will lie on the perpendicular bisector PQ and RS. We know that, two lines cannot intersect at more than one point, So O' must coincide with O. Hence, there is one and only one circle passing through three non collinear points

Step-by-step explanation:

O lies on the profitable day. Oh lord I shall take this gift and hold it with my word amen.

The table gives 20 years of data on the number of students in a particular school who dropped out in the ninth grade. A sample is taken to include only the last 3 years of this data. With this information, calculate both the population mean and the sample mean for ninth-grade dropouts per year.

Answers

Answer:

4.35 and 5.33

Help me plssss!!!!!!

Answers

Answer:

take a clear pic and re-upload......

Find two integers whose sum is -9 and product is -10

Answers

Step-by-step explanation:

if the two integers are x and y

xy=-10

x+y=-9

x+(-10/x)=-9

x2+9x-10=0

(x-1)(x+10)=0

x=1 or x=-10

if x=1, y=-10

if x=-10, y=1

so the two integers are 1 and -10

WILL GIVE BRAINLIEST

Answers

Answer: The correct answer is C.

Step-by-step explanation: Divide 15 and 6. That'll give you 6.5. Therefore, the correct answer is C.

Answer:

The answer is C 2.5

Step-by-step explanation:

Because u have to divide 15 by 6

um some help please? asap

Answers

I think it’s 24 but not 100%

On a​ map, 1 inch equals 5 miles. Two cities are 3 inches apart on the map. What is the actual distance between the​ cities?
The actual distance between the cities is ___ miles.

Answers

Answer:

15

Step-by-step explanation:

cross multiplying, [tex]\frac{1}{5}[/tex] × [tex]\frac{3}{x}[/tex]

then it would be 15 =1x

and 1x is basically just one, so 15 = x

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