2 years ago

Explain how you can tell if a rational expression is in simplest form. Include an example with your explanation.

1 answer:

7 0

The numerator and denominators will have no common factors.

For example 4/6 is not in its simplest form because both 4 and 6 can be divided by 2. In simplest form this will be 2/3.

You might be interested in

An exercise machine with an original selling price of $1,275 is marked down by 20%. What is the sale price of the exercise machi

krek1111 [17]

Answer:

1,020

Step-by-step explanation:

If it is marked down by 20%, then 80% is left. What is 80% of 1275 you ask? .8*1275=1020!

5 0

3 years ago

2. Evan solved the equation above. He ended up with an improper fraction as his product. Help Evan convert his improper fraction

Goryan [66]

I think it would be like how many times does 5 go into 48.. and that would be 9 and 3/5

4 0

3 years ago

in order to fence a garden the rowan family needs 64 ft of lumber. the garden at the correas house will need to be 150% larger.h

almond37 [142]

Answer:

Step-by-step explanation:

Divide 64 by 2

add 32+ 64

x=96

8 0

3 years ago

Find+the+positive+value+for+α+if+the+radius+of+the+circle+3x^2+3y-6αx+12y-3α=0+is+4

Alik [6]

Answer:

$\alpha=3$

Step-by-step explanation:

Equation of a Circle

A circle of radius r and centered on the point (h,k) can be expressed by the equation

$(x-h)^2+(y-k)^2=r^2$

We are given the equation of a circle as

$3x^2+3y^2-6\alpha x+12y-3\alpha=0$

Note we have corrected it by adding the square to the y. Simplify by 3

$x^2+y^2-2\alpha x+4y-\alpha=0$

Complete squares and rearrange:

$x^2-2\alpha x+y^2+4y=\alpha$

$x^2-2\alpha x+\alpha^2+y^2+4y+4=\alpha+\alpha^2+4$

$(x-\alpha)^2+(y+2)^2=r^2$

We can see that, if r=4, then

$\alpha+\alpha^2+4=16$

Or, equivalently

$\alpha^2+\alpha-12=0$

There are two solutions for $\alpha$ :

$\alpha=-4,\ \alpha=3$

Keeping the positive solution, as required:

$\boxed{\alpha=3}$

8 0

3 years ago

What is x for the following: |x-1/x-1|=1 and... x-1/x-1

Natalija [7]

Answer:

2, or any negative number

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers