Answer: (x^2)/16 + (y^2)/25 = 1
Step-by-step explanation:
According to the problem we can figure out that the center of the ellipse is (0,0).
Since the foci is (0,3) and (0,-3) we know that the value of c is 3. The major vertices are (0,5) and (0,-5) so the value of a is 5.
If we put this into the equation a^2=b^2 + c^2, we get 25=9+ b^2
We get b^2 is 16
Now since we know that the ellipse is vertical because the x value didn’t change, we know that the b^2 value comes first in the equation. Then the a^2 value which is 25.
Step-by-step explanation:
final answer will be 937.5 Kgm^2S^2 or 937.5 J
Yes, they both are rectangles
In order for a shape to be similar they have to have their corresponding angles congruent, and have the ratio of lengths of their corresponding sides be equal
Since each container can have 2 quarts, we can divide 20 quarts by 2 quarts per container to get total containers. 20/2=10 separate containers
Answer:
The general equation of the lines that are perpendicular is:
b can by any number.
Step-by-step explanation:
The equation of a line is given by:
where m is the slope and b is the intercept
The equation of a perpendicular line to the previuos one is:
That means that the slope of a perpendicular line is inverse and sign opposite to the other line.
Hence, the equation given is:
m would be:
m=1
So the perpendicular slope would be:
The general equation of the lines that are perpendicular to y=x+3 is:
b can be any number
In attached picture:
y=x+3 is the red line
y=-x+b is the blue line
