I got 37 on my calculator
Keywords:
<em>Quadratic equation, vertex shape, parabola
</em>
For this case we have to rewrite the given quadratic equation, in the form of vertex, for this, we must take into account that a quadratic equation of the form , can be rewritten in the form of vertex as: Vertice is the lowest or highest point of the parabola. The vertex is given by: . So, let: , to find the equation in the form of vertex, we follow the steps below:
Step 1:
We take the common factor to the first two terms of the equation:
Step 2:
We work square:
We divide the coefficient of the term by 2 and its result is squared, that is:
So, we have:
Step 3:
We simplify:
Step 4:
We factor:
Thus,
Answer:
The equation in the form of vertex is: , and the vertex is
Answer:
A B D
Step-by-step explanation:
those are the answers
But a closer look shows that B will be the best answer.
Answer with step-by-step explanation:
The way the question is worded, this actually shouldn't be correct. The correct answer should be .
Because the trapezoids are similar, we can find the ratio of their perimeters by actually just finding the ratio of their sides.
Why?
By definition, the corresponding sides of a polygon are in a constant proportion. The perimeter is simply the sum of all sides of the polygon. Since we're just adding the sides, the proportion will still be maintained.
Therefore, we'll just need to ratio of their corresponding sides. The only two corresponding sides that are marked are and .
The ratio of is .
The reason why it ideally should be and not is because the question states , which mentions first, so our answer should follow this respective order. I believe you were marked right anyways because the specific order is not specified, but generally, you want to give your answer respectively by default.
Answer:
259.15
Step-by-step explanation: