Slope is the change in y over the change in x:
Slope = (y2 - y1) / (x2-x1)
Replace the letters in the equation with the given information:
1/2 = (1 - -1) / (15 -r)
Cross multiply:
1 * (15-r) = 2 * (1- -1)
Simplify:
15 -r = 4
Subtract 15 from each side:
-r = -11
Because r is negative, you need to multiply both sides by -1 to make r positive:
r = 11
19.8m²
Work:
First you split the shape into a rectangle and a triangle. So now you have a triangle with the sides 4 x 3.6 and a triangle with the sides 4 x 2.7.
Side note: 2.7 comes from subtracting 3.6 off of 6.3.
Rectangle:
A = lw
A = 4 (3.6)
A = 14.4m²
Triangle:
A = 1/2lw
A = 1/2 (4) (2.7)
A = 5.4m²
Then you add the areas of both the rectangle and the triangle together.
14.4 + 5.4 = 19.8m²
You can again ignore the parenthesis because you are not distributing anything.
Your equation will look like this
3x + 11 + 6x
You can move each of these numbers around any way you like. You can combine the 3x and the 6x if you want, but they did not do that. You cannot take the x away and put it in front of the 11 though.
B. is your answer. All they did was move the 6x inside the parenthesis and the 11 out of the parenthesis.
Always remember, when you are adding things together, the parenthesis don't matter!
Answer:
-2/5
Step-by-step explanation:
You can find this by examining how to get from one point to the other. If you're going from a orange point on the left to one on the right you have to go down 2 units and over 5. That means you do -2 on the y axis and +5 on the x axis. So, with rise over run that equals -2/5.
