By the Pythagorean Theorem, the hypotenuse squared is equal to the sum of the sides squared...
h^2=x^2+y^2
We are told that y=x+20 and h=24 so
x^2+(x+20)^2=24^2
x^2+x^2+40x+400=576
2x^2+40x+400=576
2x^2+40x=176
x^2+20x=88
x^2+20x+100=188
(x+10)^2=188
x+10=±√188
x=-10±√188, x>0 so
x=-10+√188 ft
y=10+√188 ft
If you want approximations...
x≈3.71 ft
y≈23.71 ft
Answer:
2(10y + 40 -11xy)
Step-by-step explanation:
First, multiply the expression
20y +80 -6xy - 16xy
Then collect like terms
20y + 80- 22xy
And then lastly factories the expression
2( 10y + 40- 11xy )
Answer:
cant really see >
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
you would have to do 12 x 1.5 to get 18 then so 16 x 1.5 to get 24
Answer:
![(x+5)^{2}=-4(y+3)](https://tex.z-dn.net/?f=%28x%2B5%29%5E%7B2%7D%3D-4%28y%2B3%29)
Step-by-step explanation:
Given:
Focus point = (-5, -4)
Vertex point = (-5, -3)
We need to find the equation for the parabola.
Solution:
Since the x-coordinates of the vertex and focus are the same,
so this is a regular vertical parabola, where the x part is squared. Since the vertex is above the focus, this is a right-side down parabola and p is negative.
The vertex of this parabola is at (h, k) and the focus is at (h, k + p). So, directrix is y = k - p.
Substitute y = -4 and k = -3.
![-4 = -3+p](https://tex.z-dn.net/?f=-4%20%3D%20-3%2Bp)
![p=-4+3](https://tex.z-dn.net/?f=p%3D-4%2B3)
![p=-1](https://tex.z-dn.net/?f=p%3D-1)
So the standard form of the parabola is written as.
![(x-h)^{2}=4p(y-k)](https://tex.z-dn.net/?f=%28x-h%29%5E%7B2%7D%3D4p%28y-k%29)
Substitute vertex (h, k) = (-5, -3) and p = -1 in the above standard form of the parabola.
So the standard form of the parabola is written as.
![(x-(-5))^{2}=4(-1)(y-(-3))](https://tex.z-dn.net/?f=%28x-%28-5%29%29%5E%7B2%7D%3D4%28-1%29%28y-%28-3%29%29)
![(x+5)^{2}=-4(y+3)](https://tex.z-dn.net/?f=%28x%2B5%29%5E%7B2%7D%3D-4%28y%2B3%29)
Therefore, equation for the parabola with focus at (-5,-4) and vertex at (-5,-3)
![(x+5)^{2}=-4(y+3)](https://tex.z-dn.net/?f=%28x%2B5%29%5E%7B2%7D%3D-4%28y%2B3%29)