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iren [92.7K]
3 years ago
7

Instructions: Drag each tile to the correct location on the algebraic problem. Not all tiles will be used.

Mathematics
2 answers:
jolli1 [7]3 years ago
6 0
The steps involving properties of equality are shown in painful detail.

For Step 4, you add 7 to both sides of the equation (with the goal of cancelling the -7 on the left). So you have
  6x -7 +7 = 12 +7 . . . . . . . showing 7 added to both sides

In the next step, this is simplified to the way you might have written it to start with:
  6x = 19

There should be no confusion in any of this. All solutions of all equations make use of the properties of equality like this. Addition is used to cancel subtraction, division is used to cancel multiplication. (Root-taking cancels powers, and vice-versa; inverse trig functions cancel trig functions; and so on.)

likoan [24]3 years ago
5 0
4x - 7 = -2x + 12                         //GIven

4x - 7 + 2x = -2x + 12 + 2x         //Addition property of equality

6x - 7 = 12                                //Simplification

6x - 7 + 7 = 12 + 7                    //Addition property of equality

6x = 19                                     //Simplification

6x/6 = 19/6                               //Division property of equality

x =  19/6                                  //Simplification 
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What is the solution of 5x-1 &gt;O?<br> O x5-8 or x&gt;<br> © xx-8 or x<br> o -85 x &lt; 1/3<br> -8
ElenaW [278]

Answer:

x >1/5

Step-by-step explanation:

5x-1 >0

Add 1 to each side

5x-1+1 >0+1

5x >1

Divide each side by x

5x/5 >1/5

x >1/5

4 0
3 years ago
Read 2 more answers
Find the missing dimension of the triangle.
ludmilkaskok [199]

Answer: 16

Step-by-step explanation: 20/2 = 10

10x=160

10x/10=160/10

x=16

3 0
3 years ago
For what values of $x$ is it true that $x^2 - 5x - 4 \le 10$? Express your answer in interval notation.
dybincka [34]

Answer:

  x ∈ [-2, 7]

Step-by-step explanation:

The given equation ...

  x^2 -5x -4 ≤ 10

can be rewritten as ...

  x^2 -5x -14 ≤ 0

and factored as ...

  (x +2)(x -7) ≤ 0

Clearly, the "or equal to" condition will be met when x=-2 and x=7. For values of x between these numbers, one factor is negative and the other is positive. Hence the product will be negative. So, numbers in that interval are the solution set.

  x ∈ [-2, 7]

5 0
3 years ago
How many lines of symmetry does a regular polygon with 32 sides have
Leya [2.2K]
32. 16 through opposite vertices and 16 through the centres of opposite sides 
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3 years ago
Indicate the equation of the given line in standard form.The line containing the median of the trapezoid whose vertices are R(-1
maxonik [38]
RS => y - 5 = (8 - 5)/(1 - (-1)) (x - (-1))
y - 5 = 3/2 (x + 1) => slope = 3/2
ST => y - 8 = (-2 - 8)/(7 - 1) (x - 1)
y - 8 = -10/6 (x - 1) = -5/3 (x - 1) => slope = -5/3
TU => y - (-2) = (0 - (-2))/(2 - 7) (x - 7)
y + 2 = 2/5(x - 7) => slope = 2/5
UR => y = 5/(-1 - 2) (x - 2)
y = -5/3 (x - 2) => slope = -5/3

The median is the line joining the midpoints of the non-parallel sides.
Midpoint of RS = ((-1 + 1)/2, (5 + 8)/2) = (0, 13/2)
Midpoint of TU = ((7 + 2)/2, -2/2) = (9/2, -1)

Equation of the line joining (0, 13/2) and (9/2, -1) is given by y - 13/2 = (-1 - 13/2)/(9/2) x
y - 13/2 = (-15/2)/(9/2) x
y - 13/2 = -15/9x
18y - 117 = -30x
30x + 18y = 117
7 0
3 years ago
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