Find the slope first
slope=(2-1)/(-1+3)=1/4=.25
now use the slope and either point to write in point slope form
y-1=.25(x-2)
y-1=¼x-½
to rationalize all the denominators multiply by the last common multiple, here we get 4
4y-4=x-2
then put in the correct order
x-4y=-2
Answer:
Straight 180
Reflex 210
Right 90
Acute 75
Obtuse 135
Step-by-step explanation:
Given : The Area of the Rectangle = x⁴ - 100
We know that : (a + b)(a - b) = a² - b²
⇒ x⁴ - 100 can be written as : (x²)² - (10)²
⇒ (x²)² - (10)² can be written as : (x² + 10)(x² - 10)
We know that, Area of a Rectangle is given by : Length × Width
Comparing (x² + 10)(x² - 10) with Area of the Rectangle formula, We can notice that :
⊕ Length = x² + 10
⊕ Width = x² - 10
Given : Length of the Rectangle is 20 units more than Width
⇒ Width + 20 = Length
⇒ x² - 10 + 20 = x² + 10
⇒ x² + 10 = x² + 10
<u>Answer </u>: x² - 10 represents the width of the rectangle. Because the area expression can be rewritten as (x² - 10)(x² + 10) which equals
(x² - 10)((x² - 10) + 20)
⇒ Option A
Answer:
Length of diagonal = 100 cm
Step-by-step explanation:
Given:
Side length of square = 
Using pythagorean theorem:
Sum of squares of sides = Square of Diagonal
Solving for x:
Therefore,
Length of diagonal = 100 cm
