Answer:
1 . -9 = 0
2 . x = 0
3 . 0 = 0
4 .x = -27
5 . x = -4
Step-by-step explanation:
Let's assume that the parabola has the following intersections with the x axis:
x1 = p
x2 = q
To find the equation of the parabola, we write the following product of binomials:
(x-p) (x-q) = 0
Where,
p, q: intersections with the x axis.
When developing the product of binomials, we obtain the equation of the parabola.
Answer:
(x-p) (x-q) = 0
Answer:
Explanation:
H(t) = -2/5t - 5
-2/5t - 5 = 0
-2/5t = 5
t = 5 x -5/2
t = -25/2
Step-by-step explanation:
The rectangle area is equal to LENGTH * WIDTH
then
t^2-16t+48 = L*W
L = [t^2-16t+48] / W
and
t^2-16t+48 = L*W
W = [t^2-16t+48] / L
Best regards
Answer:
30.594
Step-by-step explanation:
To find perimeter we need to find the length of all the sides
The coordinates are A(-3,4), B(7,2), C(6,-3), D (-4,-1)
To find the length of side , we use distance formula
![Distance = \sqrt{(x2-x1)^2+(y2-y1)^2}](https://tex.z-dn.net/?f=Distance%20%3D%20%5Csqrt%7B%28x2-x1%29%5E2%2B%28y2-y1%29%5E2%7D)
Side ![AB =\sqrt{(7--3)^2+(2-4)^2} = \sqrt{100+4}= \sqrt{104}=10.198](https://tex.z-dn.net/?f=%20AB%20%3D%5Csqrt%7B%287--3%29%5E2%2B%282-4%29%5E2%7D%20%3D%20%5Csqrt%7B100%2B4%7D%3D%20%5Csqrt%7B104%7D%3D10.198)
Side ![BC =\sqrt{(6-7)^2+(-3-2)^2} = \sqrt{1+25}= \sqrt{26}=5.099](https://tex.z-dn.net/?f=%20BC%20%3D%5Csqrt%7B%286-7%29%5E2%2B%28-3-2%29%5E2%7D%20%3D%20%5Csqrt%7B1%2B25%7D%3D%20%5Csqrt%7B26%7D%3D5.099)
Side ![CD =\sqrt{(-4-6)^2+(-1--3)^2} = \sqrt{100+4}= \sqrt{104}=10.198](https://tex.z-dn.net/?f=%20CD%20%3D%5Csqrt%7B%28-4-6%29%5E2%2B%28-1--3%29%5E2%7D%20%3D%20%5Csqrt%7B100%2B4%7D%3D%20%5Csqrt%7B104%7D%3D10.198)
Side ![DA =\sqrt{(-3--4)^2+(4--1)^2} = \sqrt{1+25}= \sqrt{26}=5.099](https://tex.z-dn.net/?f=%20DA%20%3D%5Csqrt%7B%28-3--4%29%5E2%2B%284--1%29%5E2%7D%20%3D%20%5Csqrt%7B1%2B25%7D%3D%20%5Csqrt%7B26%7D%3D5.099)
To find perimeter we add all the sides
10.198 + 5.099 + 10.198 + 5.099= 30.594
the perimeter of the rectangle= 30.594