The midpoint of AB is M(3,-2). If the coordinates of A are (1, -3), what are the coordinates of B?

23 just took the test

Step-by-step explanation:

B(5,-1)

Step-by-step explanation:

So, x1=1 and x2=x. And y1=-3 and y2=y.

So,

(1+x)/2=3, then manipulating it gives x=5.

And,

(-3+y)/2=-2, then manipulating the equation gives y=-1.

Hence B(5,-1)

1.3

Friend is wrong

Step-by-step explanation:

Given:

friend's claim: height of his building is more than 1.50 times the height of yours

line of sight to the top edge of the other building makes an angle of 21° above the horizontal

line of sight to the base of the other building makes an angle of 52° below the horizontal

Solution:

Let A be the height of your building is A

Let B+A his building is B higher than yours.

Let the distance between the buildings is x.  

then

tan 52 = A/x

tan 21 = B/x  

A/B = tan 52 / tan 21

      =  1.27994 / 0.38386

A/B = 3.33

(A + B) / A = 1.5 0

A/A + B/A = 1.50

1 + B/A = 1.50

B/A is basically (B/x) / (A/x)

So

1+ 3.33 / 3.33

= 4.33/3.33

= 1.3

Since 1.3 is not equal to 1.5

Hence the friend's claim is wrong.