An elliptical garden is 26 feet long and 14 feet wide. Write an equation for the shape of the garden. Then find the area of the garden. Assume the major axis is horizontal

Equation of shape: x^2/169 + y^2/49 = 1

Area = 285.885 ft2

Step-by-step explanation:

The equation for a ellipse is:

x^2/a^2 + y^2/b^2 = 1

Where a is half of the horizontal axis and b is half of the vertical axis.

So, is the horizontal axis is 26 feet long and the vertical axis is 14 feet wide, we have that a = 13 and b = 7, so the equation for the shape of the garden is:

x^2/(13)^2 + y^2/(7)^2 = 1

x^2/169 + y^2/49 = 1

The area of the ellipse is calculated with this formula:

Area = pi * a * b

So as we have a = 13 and b = 7, we have that:

Area = pi * 13 * 7 = 285.885 ft2

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

15 batches are the most you can make

step-by-step explanation: