Answer and explanation:
Given : Equations
1) 
2) 
To find : Tell whether the following equations are true or false. Then, explain your reasoning.
Solution :
Equation means when left hand side and right hand side of the equation is same.
1)
Take LHS,
Same term with opposite sign cancel each other or sum is zero,
Therefore, Yes, it is true as it satisfy definition of equation.
2)
Take LHS,
Same term with opposite sign cancel each other or sum is zero,
Therefore, Yes, it is true as it satisfy definition of equation.
Answer:
y=0
Step-by-step explanation:
m=y change in y/change in x
2+3/-2+2 = 5/0
The curve hits the y-axis whenever
:
The area enclosed by the region is the sum of distances of every point on the curve where
![t\in[0,2]](https://tex.z-dn.net/?f=t%5Cin%5B0%2C2%5D)
to the origin. This is given by the integral
Since
, you have
and
, giving you
To determine the equation of the parabola with the given features above, we need to understand or know what are the significance of those values. The directrix is a line that is perpendicular to the axis of symmetry of a curve. A parabola is defined by its focus and the directrix. The parabola is a group of points where the distance to its focus is equal to the distance to its directrix. So, the directrix for this case is all points (x, -1). By using the distance formula, we construct the equation.
√((x-0)^2 + (y-1)^2) = √((x-x)^2 + (y+1)^2)
x^2 + (y-1)^2 = (y+1)^2
x^2 + y^2 - 2y+1 = y^2 +2y + 1
x^2 - 2y = 2y
x^2 = 4y
y = x^2/4
