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katrin2010 [14]
3 years ago
7

Transform the equation to isolate x: ax = bx 1. How is the value of x related to the difference of a and b?

Mathematics
2 answers:
cestrela7 [59]3 years ago
5 0

Answer:

The value of x is reciprocal of the difference of a and b.

Step-by-step explanation:

We are given the equation, ax=bx+1

On simplifying, we get,

ax=bx+1

i.e. ax-bx=1

i.e. (a-b)x=1

i.e. x=\frac{1}{a-b}

So, we get,

The value of x is \frac{1}{a-b}.

That is, the value of x is reciprocal of the difference of a and b.

jeka57 [31]3 years ago
4 0

The equation ax = bx + 1 is the same as x = 1/(a  - b) when solved for x. This means that x is equal to the reciprocal of the difference of a and b.


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D) y = -4/5x – 47/10

Step-by-step explanation:

Step 1. Find the <em>midpoint of the segmen</em>t.

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===============

Step 2. Find the <em>slope (m₁) of the segment</em>

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===============

Step 3. Find the <em>slope (m₂) of the perpendicular bisector </em>

m₂ = -1/m₁

m₂ = -4/5

====================

Step 4. Find the <em>intercept of the perpendicular bisector</em>

y = mx + b

y = -(4/5)x + b

The line passes through (-4, -3/2).

-3/2 = -(4/5)(-4) + b

-3/2 = 16/5 + b      Multiply each side by 10

 -15 = 32 + 10 b    Subtract 32 from each side

 -47 = 10b             Divide each side by 10

    b = -47/10

===============

Step 5. Write the <em>equation for the perpendicular bisector</em>

y = -4/5x – 47/10

The graph shows the midpoint of your segment at (-4, -3/2) and the perpendicular bisector passing through the midpoint and (0, -47/10).

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