The right triangle has one angle = 60° and the second, 30°, then it is also a semi equilateral one & the side (y) opposed to the angle of 30° is equal to half of the hypotenuse (x).
Calculate x by Pythagoras:
x² = (5√3)² + y², but y = x/2==> y² =(x/2)² =x²/4
x² = 75 + x²/4 ==> 4x² = 300 + x²==> 3x²=300, x² =100 and x=10 and y =5
We have the next inequation
8-4x<56
-4x<56-8
-4x<48
-x<48/4
-x<12
x>-12
Solution: x>-12 or (-12,+∞)
Answer:
Step-by-step explanation:
4. 5, equation 38-8=35 35divided by 7 is 5
Answer:
(a)
- The vertices are at (0,-5) and (0,5).
- The coordinates of the foci are (0,-3) and (0,3).
- Eccentricity=3/5
(b)Length of the major axis=10
Step-by-step explanation:
When the major axis of an ellipse is parallel to the y-axis.The standard form of the equation of an ellipse is given as:

Given the equation:

(I)The coordinates of the vertices are 

Therefore, the vertices are at (0,-5) and (0,5).
(II)The coordinates of the foci are 

The coordinates of the foci are (0,-3) and (0,3).
(III)Eccentricity
This is the ratio of the distance c between the center of the ellipse and each focus to the length of the semi major axis.
Simply put, Eccentricity =c/a
Eccentricity=3/5
(b)Length of the major axis
The length of the major axis=2a
=2(5)=10.
Answer:
28x + 30
Step-by-step explanation:
Look at the picture*