Can someone help me with #19
1 answer:
9514 1404 393
Answer:
38
Step-by-step explanation:
The graph shows all of the sides of the figure aligned with the axes except side ST. Its length can be found using the distance formula:
d = √((x2 -x1)² +(y2 -y1)²)
d = √((7 -(-5))² +(-2 -3)²) = √(144 +25) = 13
Then the perimeter is the sum of the side lengths:
13 + 4 + 12 + 9 = 38
The perimeter of STUV is 38 units.
You might be interested in
Answer:
<em>The coordinates of the vertex are (-1,-4).</em>
Step-by-step explanation:
<u>Equation of the Quadratic Function </u>
The vertex form of the quadratic function has the following equation:
Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.
We are given the function:
We must transform the equation above by completing squares:
The first two terms can be completed to be the square of a binomial. Recall the identity:
Thus if we add and subtract 1:
Operating:
The trinomial in parentheses is a perfect square:
Adding 4:
Comparing with the vertex form of the quadratic function, we have the vertex (-1,-4).
The coordinates of the vertex are (-1,-4).