Ten less = -10
a number = n
is 15 = =15
So we have 10 less than a number...
n - 10
is 15...
= 15
Put them together...
n - 10 = 15
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The general equation of a horizontal ellipse is
(x-h)2/a2 + (y-k)2/b2 = 1, at center (h,k) while a = semi-major axis, b = semi-minor axis. These are related through the distance of the focus from the center,c. a2 = b2 + c2.
If you draw the points on a coordinate plane, the center of the ellipse is at (0,0), so h and k equals 0. Then, the minor axis (2b) spans from 8 to -8 of the y-axis. This is equal to 16 units. Hence,
2b = 16
b = 8
b^2 = 64
The distance between the two foci is 2c. Thus,
2c = 12
c = 6
c^2 = 36
Then, a2 = 64 + 36 = 100. Substituting to the general equation:
x^2/100 + y^2/64 = 1
ANSWER
(–4.5, 4.25)
EXPLANATION
The first equation is
This function is in the slope-intercept form
The second equation is:
x + 2y = 4
2y =-x+ 4
The graph of the two functions are shown in the attachment.
The point of intersection represents the solution to the system of equations they represent.
The solution is
(–4.5, 4.25)
Answer:
Step-by-step explanation:
1) B
2) C
3) B
4) C
5) A
6) D
