Ask question

Ask question

All categories

uranmaximum [27]

3 years ago

7

Simplify x^4y^3 over x^2y^5

2 answers:

jek_recluse [69]3 years ago

4 0

$\dfrac{x^4y^3}{x^2y^5} =$

$= \dfrac{x^2}{y^2}$

kondaur [170]3 years ago

4 0

If you mean (x^4 * y^3) over (x^2 * y^5) it simplifies to

x^2/y^2

You might be interested in

raph the equation with a diameter that has endpoints at (-3, 4) and (5, -2). Label the center and at least four points on the ci

andreyandreev [35.5K]

Answer:

Equation:

${x}^{2} + {y}^{2} + 2x - 2y - 35= 0$

The point (0,-5), (0,7), (5,0) and (-7,0)also lie on this circle.

Step-by-step explanation:

We want to find the equation of a circle with a diamterhat hs endpoints at (-3, 4) and (5, -2).

The center of this circle is the midpoint of (-3, 4) and (5, -2).

We use the midpoint formula:

$( \frac{x_1+x_2}{2}, \frac{y_1+y_2,}{2} )$

Plug in the points to get:

$( \frac{ - 3+5}{2}, \frac{ - 2+4}{2} )$

$( \frac{ -2}{2}, \frac{ 2}{2} )$

$( - 1, 1)$

We find the radius of the circle using the center (-1,1) and the point (5,-2) on the circle using the distance formula:

$r = \sqrt{ {(x_2-x_1)}^{2} + {(y_2-y_1)}^{2} }$

$r = \sqrt{ {(5 - - 1)}^{2} + {( - 2- - 1)}^{2} }$

$r = \sqrt{ {(6)}^{2} + {( - 1)}^{2} }$

$r = \sqrt{ 36+ 1 } = \sqrt{37}$

The equation of the circle is given by:

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

Where (h,k)=(-1,1) and r=√37 is the radius

We plug in the values to get:

$(x- - 1)^2 + (y-1)^2 = {( \sqrt{37}) }^{2}$

$(x + 1)^2 + (y - 1)^2 = 37$

We expand to get:

${x}^{2} + 2x + 1 + {y}^{2} - 2y + 1 = 37$

${x}^{2} + {y}^{2} + 2x - 2y +2 - 37= 0$

${x}^{2} + {y}^{2} + 2x - 2y - 35= 0$

We want to find at least four points on this circle.

We can choose any point for x and solve for y or vice-versa

When y=0,

${x}^{2} + {0}^{2} + 2x - 2(0) - 35= 0$

${x}^{2} +2x - 35= 0$

$(x - 5)(x + 7) = 0$

$x = 5 \: or \: x = - 7$

The point (5,0) and (-7,0) lies on the circle.

When x=0

${0}^{2} + {y}^{2} + 2(0) - 2y - 35= 0$

${y}^{2} - 2y - 35= 0$

$(y - 7)(y + 5) = 0$

$y = 7 \: or \: y = - 5$

The point (0,-5) and (0,7) lie on this circle.

3 0

3 years ago

Which statement is true regarding triangle TU?

blsea [12.9K]

Answer:

angle v is the smallest

Step-by-step explanation:

3 0

3 years ago

.The table shows the relationship between the number of hours and pages read by Melissa. What is the constant of proportionality

stepan [7]

Can you show the table
If the line is going down then it’s negative I was going up it’s positive if the line is constant it’s a constant
The more hours that she read the more pages that she’s able to read

8 0

3 years ago

If 50 grams of sweets cost 250 rupees find the cost of 380 grams of sweets.

kolezko [41]

Cost of 380 gram of sweets = (2.1/50) * 380 = $15.96

6 0

2 years ago

How do you Simplify 12/90?

ladessa [460]

You can divide both numbers by 6 to get 2/15 (which cannot be simplified anymore)
2/15 is the simplified form

7 0

3 years ago

Read 2 more answers