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Travka [436]
2 years ago
6

Find three inequalities that are equivalent to 6x + 2x > 6 (x + 2)

Mathematics
1 answer:
lana66690 [7]2 years ago
4 0

Answer:

x > 6

Step-by-step explanation:

6x + 2x > 6 (x + 2)

       8x > 6 (x + 2)

       8x > 6x + 12

      <u>-6x  -6x</u>

       2x/2 > 12/2

             x > 6

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Line AB has a length of 5 cm. The line segment is dilated to produce line A'B', which has a length of 2 cm. Find the scale facto
nasty-shy [4]
<span>The correct answer is A. k = 2/5</span>
3 0
3 years ago
Read 2 more answers
((6x-8)-2x)-((12x-7)-(4x-5))
KengaRu [80]

Answer:

-12x + 4

Step-by-step explanation:

(6x - 8 - 2x) - (12x - 7) - (4x - 5)

The subtraction sign before the parenthesis is basically multiplying by -1, so the subtraction signs in the parenthesis have to change to addition. After that, you can remove the parenthesis.

6x - 8 - 2x - 12x + 7 - 4x + 5

Simplified = -12x + 4

6 0
1 year ago
A regular octagon with side length a cm can be made by cutting off
Ksivusya [100]

Answer:

one side = \frac{a\sqrt{2}}{2}

Step-by-step explanation:

if you draw an octagon on a piece of paper, you can draw a square around it, you should be able to see a diagram of this attached, ignore the 6.

Let's say TP = a

since it's a regular octagon, TP = HT

and using the Pythagoras Theorem,  we know a² + b² = c² and thus:

√(AT² + HA²) = HT

and since AT = HA which we will call x, the equation becomes:

√(2x²) = HT = a

rearrange the equation to solve for x and you get:

2x² = a²

x² = \frac{a^{2} }{2}

x = \frac{a}{\sqrt{2}}

which, if you rationalise the denominator, you get:

x = \frac{a\sqrt{2}}{2}

5 0
3 years ago
What are the factors of 5x2 + 39x − 8?
prisoha [69]

Answer:

C. (5x - 1)(x + 8)

Step-by-step explanation:

In a factoring problem by hand, the common steps to solve would be the "AM" method, or (Add-Multiply). Simply stated, finding what adds to the x-coeficient and what multiplies to the constant. In this case, what adds to 39(x) and what multiplies to 8. Just reading that, we can see that there aren't any numbers that can do that, so we have to improvise. Set up the problem equal to something that it can factor into:

  1. <em>Multiply the 5 and -8</em> = -40: <em>this is what we will factor</em>
  2. <em>The factors with add to 39 are 40 and -1</em>.
  3. <em>Set up the problem:</em>

5x^{2}+39x-8 = 5x^{2}+40x-x-8

Now, we can fo the math:

5x^{2} -8 = 5x^{2} -8

8(5x - 1) + x(5x - 1)

<em>Factor (5x - 1) from this:</em>

(5x - 1)(x + 8)

And we have our answer.

4 0
2 years ago
Write the vertex form of the equation of the parabola that has a vertex of (-6,-5) and passes through the point (-8,6)
Anastaziya [24]

Answer:

Step-by-step explanation:

Find the parabola through  ( − 8 , 6 )  with vertex  ( − 6 , -5 ) .  

Standard Form:  y = − 11 /4x ²− 44 x − 170

Vertex Form:  y = − 11 /4 ( x + 8 ) 2 + 6

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7 0
2 years ago
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