Answer:
x^2/25 +y^2/9 = 1
Step-by-step explanation:
You can think of an ellipse as a circle with a different scale factor in the x-direction than in the y-direction. When either dimension is stretched by a factor of k, the corresponding variable (v) is replaced by (v/k).
Here, the unit circle
x^2 +y^2 = 1
is stretched by a factor of 3 vertically (in the y-direction) and a factor of 5 horizontally (in the x-direction). That means we can replace x with (x/5) and y with (y/3) in the above equation to get ...
(x/5)^2 +(y/3)^2 = 1
Traditionally, the denominator is written as a number, not a square, so the equation would be ...
x^2/25 +y^2/9 = 1
Answer:
2x+20
Step-by-step explanation:
hope this helps!
The sum is addition and twice x is 2 times x and thats 2x and then add 20 to it.
416.67 pounds of food should be given all five lions each day
<em><u>Solution:</u></em>
Given that, three adult lions together eat 250 pounds of food a day
Thus, 3 adult lions = 250 pounds of food per day
Two more adult lions joined the group and ate food at the same rate as the original three
Now number of adult lions = 3 adult lions + 2 adult lions = 5 adult lions
Let "x" be the food ate by 5 adult lions
Thus we can say,
3 adult lions = 250 pounds of food per day
5 adult lions = "x" pounds of food per day
This forms a proportion and we can solve the sum by cross multiplying
Thus 416.67 pounds of food should be given all five lions each day
The correct answer is
D) ∠HJK is a right angle.
The representation of this problem is shown in the figure below. The segment that goes from the center of a circle to a point of it is the radius. For each point this segment strikes radially the circle, so given that in this very point there is a tangent segment, then the conclusion is that ∠HJK must be a right angle.<span />
