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vampirchik [111]
3 years ago
15

The vertices of a triangle are P(-3,8), Q(-6,-4), and R(1,1). Name the vertices of the image reflected in the X-axis

Mathematics
2 answers:
VladimirAG [237]3 years ago
7 0

Answer:

P' ( - 3 , - 8 )    Q' ( - 6 , 4 )      R' ( 1 , - 1 )  

Step-by-step explanation:

- The reflection of any point ( x , y ) in a cartesian coordinate system can be determined by the units of y. The number of units of y above or below the x-axis must be determined.

- If the point ( x , y ) lies y units above the x-axis then its reflection in X-axis is y units below the x-axis while the x-coordinate remains the same. Similarly, If the point ( x , y ) lies y units below the x-axis then its reflection in X-axis is y units above the x-axis while the x-coordinate remains the same.  

- We have the following vertices of the triangle:

                       P ( -3 , 8 )      Q ( -6 , -4 )       R ( 1 , 1 )

We see that point P lies y = 8 units then its reflection in X-axis is 8 units below the x-axis i.e y = -8 while x remains the same at x = -3. So the reflected point P' is:

                                            P' ( - 3 , - 8 )

We see that point Q lies 4 units below x-axis y = -4 then its reflection in X-axis is 4 units above the x-axis i.e y = +4 while x remains the same at x = -6. So the reflected point Q' is:

                                            Q' ( - 6 , 4 )

We see that point R lies y = 1 units then its reflection in X-axis is 1 units below the x-axis i.e y = -1 while x remains the same at x = 1. So the reflected point R' is:

                                            R' ( 1 , - 1 )

- The the vertices of the reflected image are:

                      P' ( - 3 , - 8 )    Q' ( - 6 , 4 )      R' ( 1 , - 1 )  

Luda [366]3 years ago
5 0
P(-3,-8) Q(-6,4) R (1,-1)
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Answer:

52

Step-by-step explanation:

<u>Spinner A</u>

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  • Probability of red = 0.6,
  • Probability of blue = 0.4

<u>Probability of both A and B land on red: </u>

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<u>Number of attempts to get outcome of 84 red on both spinners is:</u>

  • 84/0.3= 260

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3 years ago
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7 0
3 years ago
Just number 7 would be fine but if you could also number 8 would help a lot​
BlackZzzverrR [31]

Answer:

7. r = -5

8. x = -1

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define</u>

r + 2 - 8r = -3 - 8r

<u>Step 2: Solve for </u><em><u>r</u></em>

  1. Combine like terms:                    -7r + 2 = -3 - 8r
  2. Add 8r to both sides:                   r + 2 = -3
  3. Subtract 2 on both sides:            r = -5

<u>Step 3: Check</u>

<em>Plug in r into the original equation to verify it's a solution.</em>

  1. Substitute in <em>r</em>:                    -5 + 2 - 8(-5) = -3 - 8(-5)
  2. Multiply:                              -5 + 2 + 40 = -3 + 40
  3. Add:                                    -3 + 40 = -3 + 40
  4. Add:                                    37 = 37

Here we see that 37 does indeed equal 37.

∴ r = -5 is a solution of the equation.

<u>Step 4: Define equation</u>

-4x = x + 5

<u>Step 5: Solve for </u><em><u>x</u></em>

  1. Subtract <em>x</em> on both sides:                    -5x = 5
  2. Divide -5 on both sides:                      x = -1

<u>Step 6: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                    -4(-1) = -1 + 5
  2. Multiply:                               4 = -1 + 5
  3. Add:                                     4 = 4

Here we see that 4 does indeed equal 4.

∴ x = -1 is a solution of the equation.

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belka [17]

Answer:

D. 105 students and 150 guests

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Sidana [21]

Answer:

The correct answer is A) $105

Step-by-step explanation:

In this real-world problem,  the cost to groom both dogs is (the puppy) + (the adult dog) = x.

For the first step, y = 40, if x <= 25.

y = 50, if 25 < x < 50.

if x >= 50, then y = 0.50x + 25

So therefore, substitute the puppy + adult dog = x

25 + 80 = x

105 = x

So, the final answer is $105.

It's on Edgen.

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