Answer:
The length of the window is 35 inches.
Step-by-step explanation:
Perimeter of an object can be found using the general formula: P = 2W + 2L, where P = perimeter, W = width and L= length. Since both the width and perimeter of the window are given, we can plug these values into the formula to solve for the missing variable 'L': 112 = 2(21) + 2L, or 112 = 42 + 2L. We can then use inverse (opposite) operations to isolate the variable and solve. Whatever we do to one side of the equation, we do to the other. We will start by subtracting 42 from each side: 112 - 42 = 42 - 42 + 2L or 70 = 2L. Next, we divide both sides by 2 to solve for L: 70/2 = 2L/2 or L = 35. So, the final length of the window is 35 inches.
Just look at the x axis (horizontal) and see where x=1 or go 1 unit from the origin (0,0), then go up untill you hit a point that coresponds witha y value which looks to be 2 so coresponding y for x=1 is y=2
if we are given point (1,2) then
(x,y)
x=1
y=2
that is the solution already
<h2>
The area of a triangle is =54 square units</h2><h2>
The perpendicular distance from B to AC is = 
</h2>
Step-by-step explanation:
Given a triangle ABC with vertices A(2,1),B(12,2) and C(12,8)
The area of a triangle is= ![\frac{1}{2} [x_1(y_2-y_3) +x_2 (y_3- y_1)+x_3(y_1-y_2)]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%5Bx_1%28y_2-y_3%29%20%2Bx_2%20%28y_3-%20y_1%29%2Bx_3%28y_1-y_2%29%5D)
=![|\frac{1}{2} [2(2-8+12(8-1)+12(1-2)]|](https://tex.z-dn.net/?f=%7C%5Cfrac%7B1%7D%7B2%7D%20%5B2%282-8%2B12%288-1%29%2B12%281-2%29%5D%7C)
=
= 54 square units
The length of AC = 
= 
=
units
Let the perpendicular distance from B to AC be = x
According To Problem
⇔
units
Therefore the perpendicular distance from B to AC is =
Answer:
144
Step-by-step explanation:
72% of 200 is 144
Equation: 0.72*200 = 144
