Please help me find the x
2 answers:
Answer:
x = 2
Step-by-step explanation:
Basic proportionality theorem,
AB = AD + DB = 4+6 = 10
CB = CE + EB = x + x +1 = 2x +1
Cross multiply
10*(x+1) = 6*(2x+ 1)
10*x + 10*x = 6*2x + 6*1
10x + 10 = 12x + 6
Subtract 10x from both sides
10x + 10 - 10x = 12x + 6 - 10x
10 = 2x + 6
Subtract 6 form both sides
10 - 6 = 2x + 6 - 6
4 = 2x
Divide both sides by 2
4/2 = 2x/2
2 = x
x = 2
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PART A
The equation of the parabola in vertex form is given by the formula,
where
is the vertex of the parabola.
We substitute these values to obtain,
The point, (3,6) lies on the parabola.
It must therefore satisfy its equation.
Hence the equation of the parabola in vertex form is
PART B
To obtain the equation of the parabola in standard form, we expand the vertex form of the equation.
This implies that
We expand to obtain,
This will give us,
This equation is now in the form,
where
This is the standard form
The equation of the parabola in vertex form is given by the formula,
where
is the vertex of the parabola.
We substitute these values to obtain,
The point, (3,6) lies on the parabola.
It must therefore satisfy its equation.
Hence the equation of the parabola in vertex form is
PART B
To obtain the equation of the parabola in standard form, we expand the vertex form of the equation.
This implies that
We expand to obtain,
This will give us,
This equation is now in the form,
where
This is the standard form