Which line plot correctly shows the difference between the greatest and least practice times as one and one-fourth hours?

Which line plot correctly shows the difference between the greatest and least practice times as one

Solved

Show answers

Ответ:

purplebandit96

13.03.2022

Mathematics

The circle has radius = 9 units, and its equation is:

x^2+y^2=81

The parabola has equation of the form:

$y=a\,x^2+9$

with being a positive number

Step-by-step explanation:

Given the characteristics of the two figures (circle and parabola) as described,

since the parabola intersects the circle at a single point (it vertex) then the radius of the circle centered at the origin must be 9. that makes the equation of the circle to have the following standard form;

$x^2+y^2=9^2\\x^2+y^2=81$

Since there is no other info regarding the parabola, the most one can say about the equation of the parabola, is that in vertex form, the parabola's equation must be of the form:

$y=a\,(x-x_{vertex})^2+y_{vertex}\\y=a\,(x-0)^2+9\\y=a\,x^2+9$

with being a positive number.

0,0(0 оценок)

Ask your question to the AI advisor

Ai-bot is an expert in any field and is the perfect companion for reliable and useful answers and advice on a variety of topics, including science, history, technology, art, sports, health, culture and more.

Ask your question

More tips

Answers on questions: Mathematics

Ask an AI advisor a question

I want advice