Answer:
Decompose the figure into two rectangles and add the areas.
Step-by-step explanation:
We can draw a vertical line segment from the smaller section of the rectangle straight down. This would cut the rectangle into 2 smaller rectangles. We can then find the area of each rectangle and add them to find the area of the composite figure.
Answer:
x = -8
Step-by-step explanation:
y = 3x + 14
2x - 3y = -14
So, what is the substitution? Y of course, this is because y is equal to 3x + 14.
2x - 3 (3x + 14) = -14
Multiply 3 with the numbers in the parentheses.
2x - 9x + 42 = -14
So you maybe be wondering why it is a negative 7 instead of subtracting 9 with 2. Using PEMDAS, we always read from left to right. So it is basically 2 -9 and you get -7.
-7x + 42 = -14
Then subtract 42 from both sides.
-7x + 42 - 42 = -14 - 42
Simplify
-7x = -56
Divide 7 by both sides.
-7x / 7 = -56 / 7
x = -8
And you might ask, why we get x instead afterwards. This is because both -7 and 7 cancel each other out leaving us with x.
Answer:
y = -1x - 3
Step-by-step explanation:
y2 - y1 / x2 - x1
-1 - (-9) / -2 - 6
8/-8
= -1
y = -1x + b
-1 = -1(-2) + b
-1 = 2 + b
-3 = b
