Answer:
The demonstration is showed below
Step-by-step explanation:
The distance betwenn two points is given by:
![d = \sqrt{(x2-x1)^2+(y2-y1)^2}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%28x2-x1%29%5E2%2B%28y2-y1%29%5E2%7D)
If the point is equidistant from a point and a line, the distance must be equal. For the line let's select the point (x,-4), because the distance will be ortogonal, and is the small distance between a point and a line. So:
![\sqrt{(x-2)^2+(y-0)^2} = \sqrt{(x-x)^2+(y+4)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28x-2%29%5E2%2B%28y-0%29%5E2%7D%20%20%3D%20%5Csqrt%7B%28x-x%29%5E2%2B%28y%2B4%29%5E2%7D)
Removing the squares:
(x-2)² + y² = (y+4)²
(x-2)² + y² = y² + 8y + 16
y² - y² - 8y = 16 - (x-2)²
8y = (x-2)² - 16
y = (1/8)*(x-2)² - 16/8
y = (1/8)*(x-2)² - 2
Answer:
x = 300
Step-by-step explanation:
of means multiply and is means equals
25% * x = 75
Change to decimal form
.25x = 75
Divide each side by .25
.25x/.25 = 75/.25
x = 300
Answer:
true
Step-by-step explanation:
the bigger the number of a negative integer, the smaller the value become
Step-by-step explanation:
We have,
l =5ft
b=2ft
h=3ft
![volume(v) = l \times b \times h](https://tex.z-dn.net/?f=volume%28v%29%20%3D%20l%20%5Ctimes%20b%20%5Ctimes%20h)
v = (l*b*h)
v = (5*2*3)ft
v = (30)ft
.•. v = 30ft
Answer: Square, 24 square inches
Step-by-step explanation:
Given
Diameter of round pizza ![d=16\ in.](https://tex.z-dn.net/?f=d%3D16%5C%20in.)
Side of square pizza ![a=15\ in.](https://tex.z-dn.net/?f=a%3D15%5C%20in.)
Area of circle ![\pi r^2](https://tex.z-dn.net/?f=%5Cpi%20r%5E2)
The area of a square is ![a^2](https://tex.z-dn.net/?f=a%5E2)
![\therefore \text{Area of round Pizza}=\pi \times (\frac{16}{2})^2\\\Rightarrow A_1=\pi \times 8^2=201.088\ in.^2](https://tex.z-dn.net/?f=%5Ctherefore%20%5Ctext%7BArea%20of%20round%20Pizza%7D%3D%5Cpi%20%5Ctimes%20%28%5Cfrac%7B16%7D%7B2%7D%29%5E2%5C%5C%5CRightarrow%20A_1%3D%5Cpi%20%5Ctimes%208%5E2%3D201.088%5C%20in.%5E2)
The area of square pizza is
![A_2=15^2=225\ in.^2](https://tex.z-dn.net/?f=A_2%3D15%5E2%3D225%5C%20in.%5E2)
Clearly, the area of square pizza is more and the difference in their area is
![\Rightarrow A_2-A_1=225-201.088=23.91\approx\ 24\ in.^2](https://tex.z-dn.net/?f=%5CRightarrow%20A_2-A_1%3D225-201.088%3D23.91%5Capprox%5C%2024%5C%20in.%5E2)