Amanda's family is taking a road trip. Their car can travel no more than 352 miles without needing to refill the gas tank. They
1 answer:
From the solution to the inequality, the correct interpretation is that:
Amanda's family can drive 244 miles before they need to refill the gas tank.
The amount of miles they can still travel is modeled by the following <em>inequality</em>:
It is solved similarly to an equality, hence:
Then:
Amanda's family can drive 244 miles before they need to refill the gas tank.
You can learn more about inequalities at brainly.com/question/25629776
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Answer:
The receiver must be placed at a distance of 6.125 ft from the center.
Step-by-step explanation:
The dish is of parabola shape with the length of 14 feet and 2 feet deep from the center.
A parabola is a curve which is a set of all points in the plane which are at equal distance away from a given point called focus and given line called directrix.
We have to find out the point at which all the waves comes to one point where the receiver must be placed is the focus of the parabola.
The above scenario is shown in the image which can be converted in mathematical graphical representation of the parabolic curve.
The extreme two end points becomes, (-7,2) and (7,2)
The general equation for such parabola is:
x² = 4ay
where, a is the distance from the center and the focus.
Since, (7,2) satisfy the equation so,
7² = 4a×2
a = 49 /8
Thus,
<u>The receiver must be placed at a distance of 6.125 ft from the center.</u>
