Correct.

what is pi

The definition or the number? The number is 3.14159 but that isn't an exact number. pi doesn't have an exact number except by definition and that is in words and not a number.

The ellipse in question above( is translated 4 units to the right and 2 units down. Determine the equations of this ellipse. express your answer in both standard form and general form:

so the equation for standard form is:
(x-h)^2/a^2 + (y-k)^2/b^2=1

so
a: 9
b: 16
x: ?
y:?
h=4
k:2

(x-4)^2/9^2 + (y-2)^2/16^2=1

is this standard form right or am I wrong?

The answer to this question is out of place but look over all the answers and you will find it.

5 quarts = 10 pints

Hey hows it going? I was wondering if you could possibly double check my work:

a. An ellipse is formed by strecthing the graph of x^2+ y^2=1 horizontailly by a factor of 3 and vertically by a factor of 4. determine the equation of the ellipse in standard form

x^2/a^2+y^2/b^2=1
(x/3)^2+ (y/4)^2=1
x^2/9 + y^2/16 =1

So the equation is :
x^2/9 + y^2/16 =1
did I do this right?

How do you write 5.1 × 10-10 in standard form?

To find the equation of the ellipse formed by stretching the graph of x^2 + y^2 = 1 horizontally by a factor of 3 and vertically by a factor of 4, you did it correctly.

The general equation of an ellipse in standard form is x^2 / a^2 + y^2 / b^2 = 1, where a is the horizontal radius and b is the vertical radius.

In this case, since the graph is stretched horizontally by a factor of 3, the horizontal radius becomes a/3, and since it is stretched vertically by a factor of 4, the vertical radius becomes b/4.

So the equation becomes (x/3)^2 + (y/4)^2 = 1.

Then, multiplying both sides by 3^2 and 4^2, you get x^2 / 9 + y^2 / 16 = 1, which matches your final equation. Therefore, you did it correctly.