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Nadusha1986 [10]
3 years ago
14

What is the area of the polygon below?

Mathematics
1 answer:
emmasim [6.3K]3 years ago
3 0

Answer:

20

Step-by-step explanation:

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Given that f(x) = x^2 - 4x +1, find the value of m if f(m) = -3
iragen [17]

a. Answer:  m = 2

<u>Step-by-step explanation:</u>

f(x) = x² - 4x + 1

f(m) = m² - 4m + 1 = -3

         m² - 4m + 4 = 0

         (m - 2)(m - 2) = 0

               m = 2

***************************************************

b. Answer:  k = 2 and k = 5

<u>Step-by-step explanation:</u>

f(x) = x² - 7x + 14

f(k) = k² - 7k + 14 = 4

        k² - 7k + 10 = 0

        (k - 2)(k - 5) = 0

        k = 2   k = 5

3 0
3 years ago
What is the perimeter of a lawn that is 25 feet long and 20 feet wide?
Inessa [10]

Answer:

Hey

Step-by-step explanation:

500 feet total is your answer because if you multiply the two numbers you et 500

7 0
3 years ago
Unit activity: exponential and logarithmic functions
nirvana33 [79]

We will conclude that:

  • The domain of the exponential function is equal to the range of the logarithmic function.
  • The domain of the logarithmic function is equal to the range of the exponential function.

<h3>Comparing the domains and ranges.</h3>

Let's study the two functions.

The exponential function is given by:

f(x) = A*e^x

You can input any value of x in that function, so the domain is the set of all real numbers. And the value of x can't change the sign of the function, so, for example, if A is positive, the range will be:

y > 0.

For the logarithmic function we have:

g(x) = A*ln(x).

As you may know, only positive values can be used as arguments for the logarithmic function, while we know that:

\lim_{x \to \infty} ln(x) = \infty \\\\ \lim_{x \to0} ln(x) = -\infty

So the range of the logarithmic function is the set of all real numbers.

<h3>So what we can conclude?</h3>
  • The domain of the exponential function is equal to the range of the logarithmic function.
  • The domain of the logarithmic function is equal to the range of the exponential function.

If you want to learn more about domains and ranges, you can read:

brainly.com/question/10197594

3 0
2 years ago
I need help please and thank you ( show your work please)
Bas_tet [7]

Answer:

y = 2x

Step-by-step explanation:

Use Rise over Run. The rise(up/down) is 2 and the run(sideways) is 1. The slope is going up, not down so the 2 is positive. So, it is positive 2/1, which you can write as 2.

7 0
2 years ago
Please answer now plz!!!! A farmer is trying to determine the number of plaintiff plaints in a farm that covers 21 acres. He mar
Natali5045456 [20]

Answer:

D) 12,656

Step-by-step explanation:

First of all, as they have given us 3 quantities of plants in 1/2 an acre, we can work out the average amount of plants in 1 whole acre.

In the first 1/2 acre there were:

  • 291 plants

In the second 1/2 acre there were:

  • 327 plants

In the third 1/2 acre there were:

  • 286 plants

to work out the average, we add all these together then divide them by 3 (as there are 3 examples)

291 + 327 + 286 = 904

904 ÷ 3 = 301.3 (this is the average amount of plants in every 1/2 acre.) If we multiply this answer by 2 we will get the average amount of plants in every acre.

301.3 x 2 = 602.67 (average plants in every 1 acre) multiply by total acres (21) for your answer

602.67 x 21 = 12656 average plants in total

I hope this was helpful :-)

8 0
3 years ago
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