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Salsk061 [2.6K]
3 years ago
8

Describe the transformation in the figure below

Mathematics
1 answer:
Keith_Richards [23]3 years ago
3 0

Answer:

A) Reflection.

Step-by-step explanation:

From the figure shown, we can see that the blue triangle is flipped about the x-axis to form the red triangle.

When an object is flipped about a line, then this transformation is called reflection about that line.

Thus, we can say that reflection is taking place in the figure shown in which the x-axis is acting like a mirror. The blue triangle is the pre-image and the red triangle is the image after reflection.

The reflection about x-axis is given by:

Pre-image(x,y)\rightarrow Image(x,-y)

We can check the co-ordinates of the triangles and confirm the the transformation occurring

Points of pre-image triangle:

(0,2),(4,5),(6,2)

Points of image triangle

(0,-2),(4,-5),(6,-2)

Thus, the transformation is reflection.

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Find the distance between (-5,6)and (3,2).
skad [1K]

Answer:

\displaystyle d = 4\sqrt{5}

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<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)

<u>Algebra II</u>

  • Distance Formula: \displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (-5, 6) → x₁ = -5, y₁ = 6

Point (3, 2) → x₂ = 3, y₂ = 2

<u>Step 2: Find distance </u><em><u>d</u></em>

Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>

  1. Substitute in points [Distance Formulas]:                                                     \displaystyle d = \sqrt{(3+5)^2+(2-6)^2}
  2. [Distance] [√Radical] (Parenthesis) Add/Subtract:                                       \displaystyle d = \sqrt{(8)^2+(-4)^2}
  3. [Distance] [√Radical] Evaluate exponents:                                                    \displaystyle d = \sqrt{64+16}
  4. [Distance] [√Radical] Add:                                                                             \displaystyle d = \sqrt{80}
  5. [Distance] [√Radical] Simplify:                                                                         \displaystyle d = 4\sqrt{5}
6 0
3 years ago
Can anyone explain how to solve this?
eduard
I’m not 100 percent sure someone can comment on this and confirm but when it’s written like a fraction it means division. If they gave you the meaning of each variable (the letters) multiply each variable by each coefficient (the number next to the variable). Multiply all of those. Then divide it by the product of 4 and the variable

Hope this helped!
8 0
3 years ago
You ask your best friend to lend you 200 to buy your favourite toy. She says she can lend you the money
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Olegator [25]

To check which of the quotients is correct, multiply 43 times 20 and add the remainder. The result must be equal to 876.

First, notice that 20 times 43 equals 860.

A)

The remainder is 17. 860 + 17 = 877, which is not equal to 876.

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The remainder is 16. 860 + 16 = 876, which is equal to 876.

C)

The remander is 7. 860 + 7 = 867, which is not equal to 876.

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The remainder is 6. 860 + 6 = 866, which is not equal to 876.

Since 20*43 + 16 = 876, then the correct quotient is shown in option B:

876 ÷ 43 = 20 r 16

4 0
1 year ago
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