Question

Marty wants to watch two fireworks shows at the same
time. The best view is from a point that is between and
equidistant from each of them. If the shows are located
at the park and the highschool shown, at which point
would Marty get the best view?

Answer 1

Answer:

(8 , 5)

Step-by-step explanation:

• Marty would get the best view ,if he stood at the midpoint

of the line that connect the park to the high school .

• On the coordinates plane ,the park is located at (-4 , -11)

and the high school is located at (20 , 21) .

•• Calculating the midpoint (best position) :

Let M(x , y) be the midpoint.

$x=\frac{-4+20}{2} =8$

$y=\frac{-11+21}{2} =5$

Answer 2

Answer:

(8, 5)

Step-by-step explanation:

Given points:

• High School = (20, 21)
• Park = (-4, -11)

To find the point that is between and equidistant from the High School and the park, use the formula for midpoint between two points.

Midpoint between two points

$\textsf{Midpoint}=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)\quad \textsf{where}\:(x_1,y_1)\:\textsf{and}\:(x_2,y_2)\:\textsf{are the endpoints}}\right)$

Define the endpoints:

$\textsf{Let }(x_1,y_1)=(20,21)$

$\textsf{Let }(x_2,y_2)=(-4,-11)$

Substitute the endpoints into the formula:

$\implies \textsf{Midpoint} =\left(\dfrac{-4+20}{2},\dfrac{-11+21}{2}\right) = (8,5)\end{aligned}$

Therefore, the point at which Marty would get the best view is (8, 5).

Learn more about midpoints here:

https://brainly.com/question/27962681