<span><span>x+y</span>+<span>−y</span></span>=<span><span>−4</span>+<span>−<span>y
Answer: </span></span></span>x=<span><span>−y</span>−<span>4</span></span>
Answer:
![=\frac{x^2}{16} +\frac{y^2}{49}=1](https://tex.z-dn.net/?f=%3D%5Cfrac%7Bx%5E2%7D%7B16%7D%20%2B%5Cfrac%7By%5E2%7D%7B49%7D%3D1)
Step-by-step explanation:
The equation of this ellipse is
![\frac{(x-h)^2}{b^2} +\frac{y-k)^2}{a^2} =1](https://tex.z-dn.net/?f=%5Cfrac%7B%28x-h%29%5E2%7D%7Bb%5E2%7D%20%2B%5Cfrac%7By-k%29%5E2%7D%7Ba%5E2%7D%20%3D1)
for a vertical oriented ellipse where;
(h,k) is the center
c=distance from center to the foci
a=distance from center to the vertices
b=distance from center to the co-vertices
You know center of an ellipse is half way between the vertices , hence the center (h,k) of this ellipse is (0,0) and its is vertical oriented ellipse
Given that
a= distance between the center and the vertices, a=7
c=distance between the center and the foci, c=√33
Then find b
![a^2-b^2=c^2\\\\b^2=a^2-c^2\\\\\\b^2=7^2-(\sqrt{33} )^2\\\\\\b^2=49-33=16\\\\\\b^2=16](https://tex.z-dn.net/?f=a%5E2-b%5E2%3Dc%5E2%5C%5C%5C%5Cb%5E2%3Da%5E2-c%5E2%5C%5C%5C%5C%5C%5Cb%5E2%3D7%5E2-%28%5Csqrt%7B33%7D%20%29%5E2%5C%5C%5C%5C%5C%5Cb%5E2%3D49-33%3D16%5C%5C%5C%5C%5C%5Cb%5E2%3D16)
The equation for the ellipse will be
![\frac{(x-0)^2}{16} +\frac{(y-0)^2}{49} =1\\\\\\=\frac{x^2}{16} +\frac{y^2}{49} =1](https://tex.z-dn.net/?f=%5Cfrac%7B%28x-0%29%5E2%7D%7B16%7D%20%2B%5Cfrac%7B%28y-0%29%5E2%7D%7B49%7D%20%3D1%5C%5C%5C%5C%5C%5C%3D%5Cfrac%7Bx%5E2%7D%7B16%7D%20%2B%5Cfrac%7By%5E2%7D%7B49%7D%20%3D1)
we are given
![x^2-4=0](https://tex.z-dn.net/?f=%20x%5E2-4%3D0%20)
To find solution , we can factor it and then we can solve for x
step-1: Factoring
![x^2-4=0](https://tex.z-dn.net/?f=%20x%5E2-4%3D0%20)
![(x-2)(x+2)=0](https://tex.z-dn.net/?f=%20%28x-2%29%28x%2B2%29%3D0%20)
step-2: Solve for x
![(x-2)=0](https://tex.z-dn.net/?f=%20%28x-2%29%3D0%20)
![x=2](https://tex.z-dn.net/?f=%20x%3D2%20)
![(x+2)=0](https://tex.z-dn.net/?f=%20%28x%2B2%29%3D0%20)
![x=-2](https://tex.z-dn.net/?f=%20x%3D-2%20)
so, option-C and option-F...........Answer
Answer:
Step-by-step explanation:
The measurements given on the all American adults could produce a bias as it is supposed that this study aims at focusing on Education and religion in all American adults. This adults comprises of all the above mentioned religions among others.
Thus taking measurements on all american adults again among the other religions will produce a bias as among these percent, there would be individuals that belong to any of those religions producing a bias in the survey.
g(x) –f(x) = 3x –9 - (<span>5x –1)
</span> g(x) –f(x) = 3x –9 - 5x + 1
g(x) –f(x) = -2x - 8
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hope it helps
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