Question

In the diagram, the coordinates of endpoints A and B are (-3, 9) and (9, 5). What are the coordinates of point H?
A) (-1.5, 8.5)
B) (0,8)
C) (1.5, 7.5)
D) (6,6)
E) (7.5, 5.5)

Answer 1

hint:
the coordinates of the midpoint are given by the subsequent formula:
\[\begin{gathered}
{x_M} = \frac{{{x_1} + {x_2}}}{2} \hfill \\
{y_M} = \frac{{{y_1} + {y_2}}}{2} \hfill \\
\end{gathered} \]
where:
\[\left( {{x_1},{y_1}} \right) = \left( { - 3,9} \right),\quad \left( {{x_2},{y_2}} \right) = \left( {9,5} \right)\]

Answer 2

so just plug in my answers for both, divide by 2 and I can get the answer?

Answer 3

yes!

Answer 4

Okay lol hold on

Answer 5

I got 3,7..

Answer 6

that's right!

Answer 7

Its not one of the answers listed though

Answer 8

I think it is the point F, I think you have forgotten to provide the coordinates of point F

Answer 9

Lol sorry I messed the question up

Answer 10

In the diagram, the coordinates of endpoints A and E
Not A and B

Answer 11

what are the coordinates of points A and E?

Answer 12

Same as the ones above lol

Answer 13

A) (-1.5, 8.5), E) (7.5, 5.5)?

Answer 14

E is the midpoint of the segment AH, so if I call (x_H, y_H) the coordinates of point H, then we can write:
\[\begin{gathered}
7.5 = \frac{{ - 1.5 + {x_H}}}{2} \hfill \\
5.5 = \frac{{8.5 + {y_H}}}{2} \hfill \\
\end{gathered} \]

Answer 15

we have to solve those above equations for x_H and y_H

Answer 16

lol I got it its C, I got help in class

Answer 17

from those formulas above, I get:
x_H= 16.5
and
y_H= 2.5