Which expression can be used to find the area of triangle RST?
2 answers:
We start by drawing a rectangle around the triangle as shown in the diagram below
Area of RST = Area of rectangle - (area of triangle A + area of triangle B + area of triangle C)
Area of RST = (8×4) - [ (1/2×8×2) + (1/2×4×3) + (1/2×5×2) ] ⇒ we factorise the 1/2 out of the expression for the area of triangle A, B, and C
Area of RST = (8×4) - 1/2 (16+12+10)
Area of RST = Area of rectangle - (area of triangle A + area of triangle B + area of triangle C)
Area of RST = (8×4) - [ (1/2×8×2) + (1/2×4×3) + (1/2×5×2) ] ⇒ we factorise the 1/2 out of the expression for the area of triangle A, B, and C
Area of RST = (8×4) - 1/2 (16+12+10)
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Answer:
y = 12x + 9 is the answer.
Step-by-step explanation:
Since the given equation is 2x + 12 y = -1
12y = -2x -1
Now this line is in the form of y = mx + c
Here m = slope = -1/12
We have to calculate the slope of another line perpendicular to this line and passing through (0, 9).
Let the equation is y = m' + c'
We know m×m' = -1 for two perpendicular lines
m' = 12
Therefore the equation will be
y = 12x + c'
Since this line passes through ( 0, 9)
9 = 12×0 + c'
c' = 9
Now the equation will be
y = 12x + 9
This is the answer.