Answer:
D
Step-by-step explanation:
Answer:
x = 5 and x = - 5
Step-by-step explanation:
Given
x² - 25 = 0 ← x² - 25 is a difference of squares and factors as
(x - 5)(x + 5) = 0
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x + 5 = 0 ⇒ x = - 5
Answer:

Step-by-step explanation:
We know that the foci lies on the major axis, so it should lie on the x - axis. Additionally the center is the midpoint of the line joining the foci, at (0,0).
Now remember we have our foci at the point (0, ± 3). Our major axis length is 10, so if covers 5 units on either side of the x - axis. Therefore, c = 3, and a = 5. But remember that c is not part of an ellipse equation. Take a look at the formula below,
(x - h)^2 / a^2 + (y - k)^2 / b^2 = 1
However we can solve for " b " instead, using c. Take a look at another major formula below,
c^2 = a^2 - b^2,
(3)^2 = (5)^2 - b^2,
9 = 25 - b^2,
- b^2 = 16,
b = 4 = - 4
Whether b = - 4 or b = 4, or equation will be the same.
(x - 0)^2 / (5)^2 + (y - 0)^2 / (4 or - 4)^2 = 1,
x^2 / 25 + y^2 / 16 = 1
<u>Our solution is hence option number 1</u> : 
Answer:
No solution
Step-by-step explanation:
The slope of the two lines is the same.
The lines are parallel
Parallel lines never cross.
The two lines have no common solution.
Calculation of the slopes
Top line
Distance from - 2 to the y axis = 2
Distance on y axis from 1/2 to 1 1/2 = 1
Slope = 1/2
Bottom line
Distance from y intercept to y = 2 is 2
distance from y = 2 from 1/2 to 1 1/2 = 1
Slope = 1/2
The slopes are the the same.