The equation to find the slope of a line is "y2 - y1 / x2 - x1"
Our second y coordinate is 5 and our first y coordinate is 2.
5 - 2 = 3.
Our second x coordinate is -7, and our first x coordinate is 12.
-7 - 12 = -19.
We now have 3 / -19
3 / -19 = ~-0.158
Therefore, the slope of the line is ~-0.158
Hi!the answer is 31011875677.9
Answer:
Step-by-step explanation:
-2x -3y = 5
4x + 3y = 17
2x = 22
x = 11
4(2) + 3y = 17
8 + 3y = 17
3y = 9
y = 3
(11,3)
Diagonal of a Rhombus are perpendicular & intersects in their middle point:
Assume the diagonals intersects in H
A(0,-8), B(1,-0), C(8,-4) & D(x, y) are the vertices of the rhombus and we have to calculate D(x, y)
Consider the diagonal AC. Find the coordinate (x₁, y₁) H, the middle of AC
Coordinate (x₁, y₁) of H, middle of A(0,-8), C(8,-4)
x₁ (0+8)/2 & y₁=(-8-4)/2 ==> H(4, -6)
Now let's calculate again the coordinate of H, middle of the diagonal BD
B(1,-0), D(x, y)
x value = (1+x)/2 & y value=(y+0)/2 ==> x= (1+x)/2 & y=y/2
(1+x)/2 & y/2 are the coordinate of the center H, already calculated, then:
H(4, -6) = [(1+x)/2 , y/2]==>(1+x)/2 =4 ==> x=7 & y/2 = -6 ==> y= -12
Hence the coordinates of the 4th vertex D(7, -12)
Answer:
The cost of gas is £67.81
Step-by-step explanation:
Consider the provided information.
The gas meter readings at the beginning and end of a period were: 8247 and 8631.
The unit used is:
The cost of the gas is 11p for each unit.
Therefore, the cost is:
Also there is a fixed charge of £25.57.
Hence, the cost of gas is