Answer:

Step-by-step explanation:
W have been given that the vertex of a parabola is at (2, 3) and the point (0, -1) is also on the parabola. We are asked to find the equation of parabola in the form
.
We know that vertex form of parabola in form
, where (h,k) in vertex of parabola.
Upon substituting coordinates of vertex, we will get:

To find the value of a, we will substitute coordinates of point (0, -1) as:







Therefore, our required equation would be
.
Answer:

Step-by-step explanation:
Given: Perimeter of triangle= 72 units
Measure of one of the side= x units
Measure of second side = 3x units
We know the perimeter of triangle is equal to sum of all sides.
Now, finding the possible value of x
forming an inequality to determine the value of x
Remember triangle has three sides, however, measure of only two sides are given.
⇒ 
⇒ 
Dividing both side by 4
⇒ 
∴ The inequality to represents all possible values of x is 
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