The graph shown represents Tommy’s drive to work as a function of his distance from home over time:
2 answers:
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Answer:
ΔCDE and ΔCGH
Step-by-step explanation:
Since the slope is 2/5 (or 0.4), then there can be drawn a function graph f(x)=0.4x whose slope is 2/5. So now let's draw a pair of parallel lines. We have then a pair of congruent triangles, i.e. ΔCDE ≅ ΔCGH. These triangles have their hypotenuses on the line whose slope is 2/5.
Answer: The slope of diagonal PS is -1. The The slope of diagonal QR is 1. The midpoint of PS is (2,2). Midpoint of QR is (2,2).
Explanation:
The given vertices are P (0,4), Q (4,4), R (0,0) and S (4,0).
If a line passing through the point and
, then the slope of the line is,
The slope of diagonal PS is,
The slope of diagonal QR is,
The slope of both diagonals are 1 and -1, therefore the product of their slopes is -1. So, the diagonals are perpendicular to each other.
The formula for midpoint is,
The midpoint of PS is,
The midpoint of QR is,
The midpoint of both diagonals are same, therefore diagonals are bisecting each other.
Therefore, the slope of diagonal PS is -1. The The slope of diagonal QR is 1. The midpoint of PS is (2,2). Midpoint of QR is (2,2).
