6*6*6= 216. I hope this helped. :)
Step-by-step explanation:
I think substitution would be the easiest since you already have one of the variables solved for.
![y=-x^2+4x+5\\y=x+1\\x+1=-x^2+4x+5\\x^2-3x-4=0\\(x-4)(x+1)=0\\x-4=0\\x=4\\x+1=0\\x=-1](https://tex.z-dn.net/?f=y%3D-x%5E2%2B4x%2B5%5C%5Cy%3Dx%2B1%5C%5Cx%2B1%3D-x%5E2%2B4x%2B5%5C%5Cx%5E2-3x-4%3D0%5C%5C%28x-4%29%28x%2B1%29%3D0%5C%5Cx-4%3D0%5C%5Cx%3D4%5C%5Cx%2B1%3D0%5C%5Cx%3D-1)
(You can just set the equations equal to each other since they both equal y).
Now, to get the points, plug in x = 4 and x = -1 into one of the equations (I'm going to plug them into y = x+1 because that one is much simpler)
![y(4)=4+1\\y(4)=5\\y(-1)=-1+1\\y(-1)=0](https://tex.z-dn.net/?f=y%284%29%3D4%2B1%5C%5Cy%284%29%3D5%5C%5Cy%28-1%29%3D-1%2B1%5C%5Cy%28-1%29%3D0)
So, your final points are:
(4,5) and (-1,0)
Answer:
3 3/4= 3*4+3/4=15/4
1 7/9= 1*9+7=16/9
16/9*15/4= 4/3*5/1= 20/3 = 6 2/3
The answer for this question is “A”
Answer:
x squared over 4 plus y squared over 8 equals 1
Step-by-step explanation:
The general equation of ellipse is given as;
(x²/a²) + (y²/b²) = 1
The coordinates of a foci are: (±c, 0) where;
c² = b² - a²
However, we know that equation of directrix is; x = ±a/e
Now, Directrix is given ±4
Thus, a/e = 4
a = 4e
We also know that c = ae from ellipse foci coordinates.
Thus, ae = 2
since ae = 2, then (4e)e = 2
4e² = 2
e² = 2/4
e = 1/2
Thus;
a = 4 × 1/2
a = 2
Since c² = b² - a²;
2² = b² - 2²
4 = b² - 4
b² = 8
From (x²/a²) + (y²/b²) = 1, we can put our values to get;
x²/4 + y²/8 = 1