Given:
A parabola opens up or down and its vertex is at the point (h, v).
To find:
The equation of the parabola.
Solution:
A parabola opens up or down. It means it is a vertical parabola.
The vertex form of a vertical parabola is
...(i)
Where, a is constant and (h,k) is vertex.
The vertex of given parabola is at point (h,v). Putting h=h and k=v in (i), we get

The required equation of the parabola is
.
Therefore, the correct option is A.
Answer:
w = 3
Step-by-step explanation:
8 • (w + 2) - 40 = 0
Pulling out like terms :
3.1 Pull out like factors :
8w - 24 = 8 • (w - 3)
Equation at the end of step 3 :
8 • (w - 3) = 0
Step 4 :
Equations which are never true :
4.1 Solve : 8 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation :
4.2 Solve : w-3 = 0
Add 3 to both sides of the equation :
w = 3
One solution was found :
w = 3
Processing ends successfully
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Answer:
y = -
x + 10
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mc + c ( m is the slope and c the y- intercept )
Here m = -
and crosses the y- axis at (0, 10 ) ⇒ c = 10
y = -
x + 10 ← equation of line
Answer:
<em>The perimeter is 72 units and the area is 149 square units.</em>
Step-by-step explanation:
has coordinates
and 
Using the distance formula.........
Length of side 
Length of side 
Length of side 
So, the perimeter of the triangle will be:
units. <em>(Rounded to the nearest unit)</em>
The height of the triangle for the corresponding base
is 8.89 units.
<u>Formula for the Area of triangle</u>, 
So, the area of the
will be:
square units. <em>(Rounded to the nearest unit)</em>