Which expression is equivalent to 8(x−3) 8x + 5 8x + 24 8x−24 8x−3
1 answer:
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Answer:
(x, y ) = ( ,
)
Step-by-step explanation:
given the 2 equations
4x + 2y = 7 → (1)
y = 5x → (2)
Substitute y = 5x into equation (1)
4x + 2(5x) = 7
4x + 10x = 7
14x = 7 ( divide both sides by 14 )
x = =
substitute this value into equation (2)
y = 5 × =
That's an easy parallelogram, parallel to the x axis. Let's label the points
A(-4,-1),B(-2,4),C(4,4),D(2,-1)
AD and BC are the sides parallel to the x axis. We'll call those the base, it has length 4 - -2 = 6.
The height is the change in y between the bases, so 4 - -1 = 5.
The area is base times height, 6 × 5 = 30
Answer: 30
The shoelace formula gives us the area of a polygon from 2D coordinates without worrying about the shape:
(-4,-1),(-2,4),(4,4),(2,-1)
(-2,4),(4,4),(2,-1),(-4,-1)