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3 years ago

Simplify the expression 9xy^2 - 11xy^2

Mathematics

1 answer:

tekilochka [14]3 years ago

7 0

Subtract 11xy^2- from 9xy^22 to get -2xy^2

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For each of the described curves, decide if the curve would be more easily given by a polar equation or a Cartesian equation. Th

Reptile [31]

Answer:

(a) (x-2)^2 +(y-2)^2 = 16

(b) r = 2

Step-by-step explanation:

(a) When the circle is offset from the origin, the equation for the radius gets messy. In general, it will be the root of a quadratic equation in sine and cosine, not easily simplified. The Cartesian equation is easier to write.

Circle centered at (h, k) with radius r:

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

The given circle is ...

(x -2)^2 +(y -2)^2 = 16

(b) When the circle is centered at the origin, the radius is a constant. The desired circle is most easily written in polar coordinates:

r = 2

6 0

2 years ago

7- a. What is the radius of the circle with center (3,10) that passes through (12,12)?

loris [4]

Answer: a. Radius of circle = $\sqrt{85}$

b. The equation of this circle : $(x-3)^2+(y-10)^2=85$

Step-by-step explanation:

Given : Center of the circle = (3,10)

Circle is passing through (12,12).

a. To find the radius we apply distance formula (∵ Radius is the distance from center to any point ion the circle.)

Radius of circle = $\sqrt{(12-3)^2+(12-10)^2}$

Radius of circle = $\sqrt{(9)^2+(2)^2}=\sqrt{81+4}=\sqrt{85}$

i.e. Radius of circle = $\sqrt{85}$

b. Equation of a circle = $(x-h)^2+(y-k)^2=r^2$ , where (h,k)=Center and r=radius of the circle.

Put the values of (h,k)= (3,10) and r= $\sqrt{85}$ , we get

$(x-3)^2+(y-10)^2=(\sqrt{85})^2$

$(x-3)^2+(y-10)^2=85$

∴ The equation of this circle : $(x-3)^2+(y-10)^2=85$

6 0

3 years ago

There are 3 cups of blue paint and 2 cups of red paint. Whats the ratio?

steposvetlana [31]

Answer:

3:2

Step-by-step explanation:

can also be written as 3/2 as a fraction!

7 0

2 years ago

Read 2 more answers

What expression would simplify to 9x+y+6

Montano1993 [528]

3x+3x+3x+y+3*2 ?

I only seperated the variabled number

5 0

3 years ago

A grocery store has a shelf with half-gallon containers of milk. What type of number best represents the total number of gallon?

Advocard [28]

Rational numbers.

The grocery store will have a whole number of half gallons =>

number of gallons = n * [1/2] , where n = ∈ N

That means that the number of gallons ∈ Z+ and 0.

Then the answer is the option A. rational number.

4 0

3 years ago