Find the sum of – 1022 – 2 + 6 and 10x2 – 5.
1 answer:
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We want to see which is the conic equation that has 2 squares with the same sign and different leading coefficients.
We will see that it is the equation of the ellipse.
Now let's see why that is the correct answer.
The general conic equation is of the form:
Where A and B are the leading coefficients, (a, b) is the center of the figure, and R is the average radius of the figure.
For example, if A = B, this would be the equation of a circle, but we must have two different leading coefficients.
If we write:
A = 1/C
B = 1/K
(both are positive, because "it has two squares with the same signs").
Then we get the equation:
We get the equation we wanted.
The same sign in both square parts and different leading coefficients.
The above equation is the general equation of an ellipse.
If you want to learn more, you can read:
Answer:
Step-by-step explanation:
Given:
Solving for :
Answer:
Option D is correct.
13x = 39
Step-by-step explanation:
The system of equation is given:
....[1]
.....[2]
Multiply equation [1] by 5 to both sides we have;
.....[3]
Using elimination method:
Add [2] and [3] equations to eliminate y and solve for x, we have;
Divide both sides by 13 we get;
x = 3
Substitute x in [1] we have;
2(3)-y = -4
6-y = -4
Subtract 6 from both sides we have;
-y = -10
Divide both sides by -1 we have;
y = 10
⇒Solution: (3, 10)
Therefore, an equation can replace 3x+5y = 59 in the original system and still produce the same solution is,
13x = 39