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Marina86 [1]
3 years ago
5

Combine like terms to simplify the expression:

Mathematics
1 answer:
masha68 [24]2 years ago
3 0

Answer: k/2 - 3/5

Step-by-step explanation: This is what my calculator came up with.

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Rewrite this equation
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11 + 4

Step-by-step explanation:

11 - (-4) = 11 + 4

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ANSWER AND STEPS PLEASE. HELP
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A. 75.36 in^3

Step-by-step explanation:

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5x-12=3x-4. what does x eaual
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X=4 is the answer to this question
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Three-sevenths of a number is 21. Find the number
ruslelena [56]
You can set up a proportion that looks like 3/7 = x/21. X being the number that you are trying to find. Seven goes into 21 three times. So multiply 3 also by that 3 to get 9. So three sevenths of twenty-one is 9.
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2 years ago
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Which rule describes the translation below ? In the picture
rewona [7]

The translation rule which describes the given translation is \fbox{\begin\\\math{(x,y)}\rightarrow(x+5,y-3)\\\end{minispace}}.

Further explanation:

Translation is defined as the shifting of the curve in which each point on the curve is shifted in such a way that the shape and size of the curve remains unchanged but the position of each point is changed by a fixed distance.

In the given figure there are two right angle triangle as S'T'U' and STU.

The coordinates of the right angle triangle S'T'U' are (-4,2),(-4,-2) and (-1,-2) and the coordinates of the right angle triangle STU are (1,5),(1,1) and (4,1).  

Consider that the triangle STU is obtained after the translation of each point on the triangle S'T'U'.  

The coordinate of the point S' in triangle S'T'U' is (-4,2).  

Step 1:  

Use the translation (x,y)\rightarrow(x-5,y-3) for the point S'.  

\fbox{\begin\\\(-4,2)\rightarrow(-4-5,2-3)=(-9,-1)\\\end{minispace}}

As per the translation (x,y)\rightarrow(x-5,y-3) the coordinate of the point S is (-9,-1), but in the given figure the coordinate of the point S is (1,5).  

So, the translation (x,y)\rightarrow(x-5,y-3) is incorrect.  

Step 2:  

Use the translation (x,y)\rightarrow(x-3,y-5) for the point S'.  

\fbox{\begin\\\(-4,2)\rightarrow(-4-3,2-5)=(-7,-3)\\\end{minispace}}

As per the translation (x,y)\rightarrow(x-3,y-5) the coordinate of the point S is (-7,-3), but in the given figure the coordinate of the point S is (1,5).  

So, the translation (x,y)\rightarrow(x-3,y-5) is incorrect.  

Step 3:  

Use the translation (x,y)\rightarrow(x+5,y+3) for the point S'.  

\fbox{\begin\\\(-4,2)\rightarrow(-4+5,2+3)=(1,5)\\\end{minispace}}

As per the translation (x,y)\rightarrow(x+5,y+3) the coordinate of the point S is (1,5) which is correct as the coordinate for the point S given in the figure is (1,5).  

Step 4:  

Use the translation (x,y)\rightarrow(x+5,y+3) for the point T'.  

\fbox{\begin\\\(-4,-2)\rightarrow(-4+5,-2+3)=(1,1)\\\end{minispace}}  

As per the translation (x,y)\rightarrow(x+5,y+3) the coordinate of the point T is (1,1) which is correct as the coordinate for the point T given in the figure is (1,1).  

Step 5:  

Use the translation (x,y)\rightarrow(x+5,y+3) for the point U’.  

\fbox{\begin\\\ (-1,-2)\rightarrow(-1+5,-2+3)=(4,1)\\\end{minispace}}

As per the translation (x,y)\rightarrow(x+5,y+3) the coordinate of the point T is (4,1) which is correct as the coordinate for the point U given in the figure is (4,1).  

As per the above calculation it is concluded that the translation (x,y)\rightarrow(x+5,y+3) is correct for the shifting of each point on the triangle S'T'U' to each point on the triangle STU.

The translation of each point on the triangle S'T'U' is shown in the image attached below.

Therefore, the correct translation rule for the shifting of the triangle S'T'U' to the triangle STU is \fbox{\begin\\\math{(x,y)}\rightarrow(x+5,y-3)\\\end{minispace}}  

Learn more:  

  1. A problem to determine the range of a function brainly.com/question/3852778
  2. A problem to determine the vertex of a curve brainly.com/question/1286775
  3. A problem to convert degree into radians brainly.com/question/3161884  

Answer details:

Grade: Middle school

Subject: Mathematics  

Chapter: Coordinate geometry

Keywords: Translation, shifting, graph, geometry, coordinate geometry, coordinates, shifting of graph, triangle, right angle triangle, movement of curve, shifting of curve, translation of curve.

7 0
2 years ago
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