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Oduvanchick [21]
4 years ago
9

Solve the absolute value equation. 6-4|2x-8|=-10

Mathematics
1 answer:
zloy xaker [14]4 years ago
4 0

Answer:

Step-by-step explanation:

Simplifying

6-4(2x-8)=-10  Eliminate parenthesis

-8x+38=-10  Subtract 38 from sides

-8x=-48

Then you divide the sides by 8

6

Answer

x=6

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The backboard of the basketball hoop forms a right triangle with the supporting rods, as shown. Use the
svlad2 [7]

Answer:

9.14 inches.

Step-by-step explanation:

From the question,

Assuming the diagram attached, is similar to diagram required to support the question,

From the diagram,

Applying pythagoras theorem

a² = b²+c²...................... Equation 1

Where a = 13.4 in, b = x in, c = 9.8 in.

Substitute these values into equation 1

13.4² = x²+9.8²

x² = 13.4²-9.8²

x² = 179.56-96.04

x² = 83.52

x = √(83.52)

x = 9.14 inches

Hence the distance between the rods is 9.14 inches

8 0
3 years ago
shape ABCDEF is an irregular hexagon. prove that the sum of the shape is720 degrees. show ur working. (3marks)​
guajiro [1.7K]

Answer:

Here's one way to do it  

Step-by-step explanation:

Divide the hexagon into triangles, for example, as in the diagram below.

The triangles are all inside the hexagon, so the sum of their interior angles is the sum of those of the hexagon.

The sum of the interior angles of a triangle is 180°.

There are four triangles, so

Sum of interior angles = 4 × 180° = 720°

8 0
4 years ago
3x-4y=-5 y=4x-2 Is (1,2) a solution of the system?
Orlov [11]
If you want to check if (1,2) is a solution to the system, you have to plug the x and y values back into both equations. If they work for one equation, but not the other, than the coordinates are not a solution to the system.

3(1) - 4(2) = -5
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-5 = -5 

2 = 4(1) - 2
2 = 4 - 2 
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Since both of these checks are true, then (1,2) is a solution to the system.
7 0
3 years ago
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Rzqust [24]

Answer:

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Step-by-step explanation:

8 0
3 years ago
X+x/7 + 1/11 (x + x/7) = 60
tatyana61 [14]
Solve for
x
x
by simplifying both sides of the equation, then isolating the variable.
Exact Form:
x
=
385
8
x
=
385
8
Decimal Form:
x
=
48.125
x
=
48.125
Mixed Number Form:
x
=
48
1
8
x
=
48
1
8
3 0
4 years ago
Read 2 more answers
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