Answer: At point (
)
Step-by-step explanation: <u>Diagonal</u> is a line uniting two opposite points. In a square, the diagonals intersect in a 90° and bisect each other, i.e., divides each diagonal into two segments of the same length.
In other words, the diagonals of a square meet at their midpoint, which is found as the following:
(x,y) = 
The opposite vertices of the given square are (-2,6) and (1,-7).
So, the intersection is
(x,y) = 
(x,y) = 
The diagonals of square with vertices (-2,6)(6,1)(1,-7)(-7,-2) intersect at point .
1694/4 = 423,5
Answer: 423,5 hours.
Answer:
x = 2.6
Step-by-step explanation:
To find x, you need to find how many times you need to multiply 25 to get 65. Using reverse operations will make this easier. 65 / 25 = 2.6. We can check this by multiplying 25 by 2.6, and we get 65.
Answer:
5/48
Step-by-step explanation:
Answer:
(c) 5y -17x +99 = 0
Step-by-step explanation:
The median of a triangle is the line through a vertex and the midpoint of the opposite side. The median of ΔXYZ from vertex Y will be the line through point Y and the midpoint of XZ.
<h3>Midpoint</h3>
The midpoint of XZ is the average of the coordinates of X and Z.
M = (X +Z)/2
M = ((1, -2) +(8, -7))/2 = (9, -9)/2 = (4.5, -4.5)
<h3>Line through two points</h3>
The slope of the median can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
The slope of line YM is ...
m = (-4.5 -4)/(4.5 -7) = -8.5/-2.5 = 17/5
The point-slope form of the equation of a line is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
The line with slope 17/5 through point Y(7, 4) is ...
y -4 = 17/5(x -7)
Subtracting the right side, and multiplying by 5 gives ...
5(y -4) -17(x -7) = 0
5y -17x +99 = 0 . . . . equation of the median through Y
