24x-12x^2=0 What is the result of this(please step by step)
1 answer:
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Answer:
Step-by-step explanation:
Big circle:
R = radius = diameter ÷2 = 42 ÷ 2 = 21 cm
Area of big circle= πR²
Small circle:
Diameter of small circle = radius of big circle = 21 cm
r = 21/2 = 10.5 cm
Area of small circle = πr²
Area of shaded region = area of big circle - area of small circle
= 1386 - 346.5
= 1039.5 cm²
Answer:
Step-by-step explanation:
- F(x)= (x-2)(x-3)
This form is already factored so it can help us to find the intercepts with the x-axis
how ?
- The intercepts with the x-axis are simply the points where f(x)=0
from the factored form we can deduce that x=2 and x=3 are the points that represent the intercepts with the x-axis since f(2)=0 and f(3)=0
- The intercept with the y-axis is the image of 0 so f(0)=(0-2)(0-3)=6
so :
- The intercepts with the x-axis are (2,0) and (3,0)
- The intercept with they-axis is (0,6)
To get the standard form we should develop :
- f(x)=x²-3x-2x+6
= x²-5x+6
now the vertex form with the axis of symmetry :
- There are many ways to do it but here is the simplest one :
the standard form is x²-5x+6 :
- b= -5
- a= 1
- c= 6
The coordinates of the vertex are : (,f(
) )
- let A be the vertex : a(
,
)
- the axis of simmetry is x= 5/2
- The vertex form is : 1*(x-