Given:
Image of the ellipse
To find:
The equation of the image
Solution:
The given image is a ellipse.
Center of the ellipse = (0, 0)
x-axis points are (-3, 0) and (3, 0).
y-axis points are (2, 0) and (-2, 0).
Standard form of equation of ellipse:

where (h, k) is the center = (0,0)
a is the point on x-axis where y = 0. Hence a = 3.
b is the point on y-axis where x = 0. Hence b = 2.
Substitute this in the standard form of ellipse.


To make the denominator same multiply 1st term by
and 2nd term by
.



Multiply by 36 on both sides


The equation of the image is
.
The area of the triangle ABC is 207.5 square units.
Explanation:
The measurements of the sides of the triangle are
,
and 
We need to determine the area of the triangle ABC.
<u>Area of the triangle:</u>
The area of the triangle can be determined using the formula,

where
,
and 
Substituting these values in the above formula, we get,

Simplifying the values, we get,



Rounding off to the nearest tenth, we get,
Thus, the area of the triangle ABC is 207.5 square units.
Answer:
A= 201.06
Step-by-step explanation:
A=πr^2
d=2r
Input the information into those formulas. Im honestly not sure if thats the right answer but its better than nothing.
40% of 35 would be 14. Therefore 14 girls are in the class. Hope that helps!