If the endpoints of `bar(ab)` have the coordinates a(9, 8) and b(-1, -2), what is the midpoint of `bar(ab)`? choices: a. (5, 3) b. (4, 5) c. (5, 5) d. (4, 3)

Midpoint

x = (9 - 1)/ 2 = 8/2 = 4

y = (8 - 2)/2 = 6/2 = 3

Answer

D.  

(4, 3)

If the endpoints of `bar(AB)` have the coordinates A(9, 8) and B(-1, -2), what is the midpoint of `bar(AB)`?

solve by using (y₂ + y₁)/2 for midpoint, and (x₂ + x₁)/2

y = (8 - 2)/2 = (6)/2 = 3

x = (9 - 1)/2 = (8)/2 = 4

D. (4,3) is your answer

hope this helps

answer:

it is general formula that is used to write value to its excet position

a11 a12 a13

a21 a22 a23

it is the example of order 2 by 3 matrix in this

a11 means value occur in 1 st row 1st column

a12 means value occurs in 1st row 2nd column

a13 means value occur in 1st row and 3rd column

a21 means value occurs in 2nd row and 1st column

a22 means value occurs in 2nd row and in 2nd column

a23 means value occurs in 2nd row and in 3rd column

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1