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AlekseyPX
3 years ago
13

Think about the numbers -10 and 10. How could you describe these numbers? What is the same and what is different about these num

bers
Mathematics
1 answer:
Sveta_85 [38]3 years ago
6 0

Answer:

1. The two numbers are the additive inverse of each other.

2. The two numbers are real numbers but the signs before them show that they are the opposite of each other.

Step-by-step explanation:

The Additive inverse of a number is that number which is added to it to give the result, 0. The number bears the opposite sign. To obtain the additive inverse of a number, simply multiply it by -1. For example, the additive inverse of 10 is;

10 * -1 = -10

The numbers 10 and -10 are real numbers, because real numbers tend to bear the opposite sign.

Addition of 10 and -10 will yield zero. This is characteristic of additive inverse.

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A triangle has squares on its three sides as shown below. What is the value of x? Three squares having side lengths 3 cm, x cm,
Pani-rosa [81]

Answer:

The value of x is 5 centimeters.

Therefore, option 3 is correct.

Step-by-step explanation:

A triangle has three sides 3,x and 4 cms

Since the triangle is right angle triangle  so, it will follow the Pythagoras theorem:

hypotenuse^2=side^2+side^2    (1)

We have been given three sides x,3 and 4

On substituting the values in (1) we get:

x^2=3^2+4^2

x^2=9+25

\Rightarrow x=5

Hence, the value of x is 5 centimeters.

Therefore, option 3 is correct.

Please look at the attachment for the figure.

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3 years ago
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The function f(x) = 200 × (1.098)x represents a village's population while it is growing at the rate of 9.8% per year.
AlexFokin [52]

The time for the village to dig the new well is about 7 1/2 years. At this time the population doubles from its current size.

<h3>How to graph a function?</h3>

For a function f(x) = y, the steps to draw a graph for the given function are as follows:

  • Consider certain values of x
  • Substitute x values in the given function to obtain y values
  • Plot the x and y values in the graph
  • Join the points to know the variation.

<h3>Calculation:</h3>

It is given that,

f(x) = 200 × (1.098)^x

Village's population growing rate = 9.8%

Creating a table for x and f(x) values:

x: 0   2   4   6   8   10

f(x = 0) = f(0) = 200 × (1.098)^0 = 200

f(x = 2) = f(2) = 200 × (1.098)^2 = 241

f(x = 4) = f(4) = 200 × (1.098)^4 = 291

f(x = 6) = f(6) = 200 × (1.098)^6 = 350

f(x = 8) = f(8) = 200 × (1.098)^8 = 423

f(x = 10) = f(10) = 200 × (1.098)^1^0 = 509

So,

(x, f(x)): (0, 200)  (2, 241)  (4, 291)  (6, 350)  (8, 423)  (10, 509)

Plotting these points in the graph and joining the points, the graph is shown below.

Finding the time for the village to dig a new well:

It is given that the population doubled from its current size, the village will need to dig new water well.

The current size of the village = 200

If it doubles for a certain time 't' = 400

So,

400 = 200 × (1.098)^t

⇒ (1.098)^t = 2

⇒ log(1.098)^t = log 2

⇒ t log(1.098) = 0.301

⇒ t × 0.04 = 0.301

∴ t = 7.525 years

Therefore, the village's population becomes double at the time 7 and half years from now. So, after 7 1/2 years, the village needs to dig a new well.

Learn more about the function and its graph here:

brainly.com/question/4025726

#SPJ1

3 0
1 year ago
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