All categories

3 years ago

(x^2-9)/(x+1) ÷ (x^2-6x+9)/(7x+7) reduced form?

1 answer:

5 0

Hello,

$\dfrac{\dfrac{x^2-9}{x+1}}{\dfrac{x^2-6x+9}{7x+7}}=7*\dfrac{(x-3)(x+3)*(x+1)}{(x+1)(x-3)^2}=7*\dfrac{x+3}{x-3}$

You might be interested in

Leslie has a watering can that holds 3 liters of water. She uses 250 milliliters of water on each of her plants.

dexar [7]

She can water 12 plants because 3,000 divided by 250 equals 12.

Hope this Helps

4 0

3 years ago

Read 2 more answers

After eating at your favorite restaurant,you know that the bill before tax is $52.60 and that the sales tax rate is 8%. You deci

slega [8]

The total bill would be 67.32 because you have to multiply the tax and tip then add them together

3 0

3 years ago

Read 2 more answers

The circle described by the equation <img src="https://tex.z-dn.net/?f=%28x-3%29%5E%7B2%7D%20%2B%28y%2B4%29%5E%7B2%7D%3D9" id="T

ElenaW [278]

Answer:

The point at which center of the image circle located is (-2, -3) so second option is correct.

Step-by-step explanation:

Given equation of circle is:

$(x-3)^{2} + (y+4)^{2} = 9$ (i)

The general equation of circle is mentioned below,

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

Here 'r' represents the radius of the circle and (h,k) shown the center of the circle.

By comparing equation (i) and equation (ii), we get

r^2 = 9

r = 3

$(x-3)^{2} = (x-h)^{2}$

$(x-3) = (x-h)$

$h = 3$

$(y+4)^{2} = (y-k)^{2}$

$(y+4) = (y-k)$

$k = -4$

So the center of given circle is (h,k) = (3,-4)

Also, the circle is translated 5 units left, that is towards the -x-axis. Therefore h = 3 - 5 = -2

Also, the circle is translated 1 unit up, that is towards the +y-axis. Therefore k = -4 + 1 = -3

Hence, the point at which center of the image circle located is (-2, -3) so second option is correct.

6 0

3 years ago

Read 2 more answers

The product of two consecutive positive even integers is 440. what are the integers

Natali [406]

1st integer: x
2nd integer: x+2

Multiply them: x(x+2)=440
X^2+2x-440=0
Use the quadratic formula
x=-22 or x=20
Since x must be a positive integer number, x=20.

Answer:
1st: 20.
2nd: 22

Rate High and send a personal message if you want detailed answers on your math questions.

4 0

3 years ago

PLEASE HELP A store is having a sale on chocolate chips and walnuts. For 5 pounds of chocolate chips and 3 pounds of walnuts, th

Stells [14]

Answer:

Chocolate Chips cost $2.25 and Walnuts cost $3.25 per pound each

Step-by-step explanatChocion:

Let x = cost of pounds of chocolate chip cookies and y = cost of pounds of walnuts.

From the question, we get 5x+3y = 21 and 2x+6y = 24. To solve the equation, we use substitution. From the first equation, we get y = (21-5x)/3. We substitute the y into the second equation to get 2x + 6(21-5x)/3 = 24. This turns out to be 2x+(42-10x) = 24. Adding like terms you should get 42-8x = 24. Solving for x, x = $2.25 per pound. Plugging this into the first equation, we get 5(2.25)+3y = 21. Solving for y, we get $3.25 per pound of walnuts. If we plug in the numbers into the 2 equations, we will get the right total.

3 0

3 years ago