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mars1129 [50]
2 years ago
9

What is the rule of the reflection?

Mathematics
1 answer:
iogann1982 [59]2 years ago
8 0

The rule of reflection in the image shown is: (x, -y).

<h3>What is Reflection?</h3>

Reflection is a transformation which creates a new image by flipping over a line of reflection. The new image is congruent to the original image after reflection. The rule of reflection over an x-axis is given as, (x, -y).

In the image given we can see that rotating triangle LMN over the x-axis gave us:

M(-5, 4) → M'(-5, -4)

L(-4, 2) → L'(-4, -2)

N(-2, 3) → N'(-2, -3)

Therefore, the rule of reflection is: (x, -y).

Learn more about reflection on:

brainly.com/question/26642069

#SPJ1

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Joshua has $560. He wants to buy a laptop that costs $320 as well as a case for the laptop that costs $65 and is currently on sa
Igoryamba

Answer:$154.73

Step-by-step explanation:

Take 65 and multiple .15 and that will give you the 15% off of the case. When u do that you get 9.75 so then 65-9.75= 55.25 multiply .08 for the sales tax on the case = 4.42 add to 55.25= 59.67 then add the sales tax for the laptop 320 multiplied by .08 = 25. 60 for a total of 345.60 then add that to 59.67 = 405.27 then u have to subtract that from 560 and Josh has $154.73

6 0
3 years ago
PPPLEASE HELP<br><br> do the problem
Serggg [28]

Step-by-step explanation:

1. No: angles add to more than 180 deg.

2. Yes: each side's length is between the sum and difference of the lengths of the other two sides.

3. No: not every side's length is between the sum and difference of the lengths of the other two sides.

4. Yes: for example, place the 50 deg angle between the two given sides. Another side will then make the triangle.

5. Yes: for example, use 3 cm as the short leg in a 30-60-90 right triangle.

3 0
2 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
1 year ago
If f(x) = x-6 and g(x) = x^1/2 , find g(x) x f(x) .
shusha [124]

Answer:

x^3/2 - 6x^1/2

Step-by-step explanation:

f(x) = x - 6

g(x) = x^1/2

g(x) * f(x) = x^1/2(x - 6)

g(x) * f(x) = x^3/2 - 6x^1/2

5 0
3 years ago
Complete the square to write the equation, 4x2 + 24x – y + 43 = 0, in standard form.
Tamiku [17]

Answer:

y=4

x=3

7

Step-by-step explanation:

Edg2021

5 0
2 years ago
Read 2 more answers
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