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1 answer:
Answer:
y > 4x - 2
Step-by-step explanation:
The basic format of a line in slope-intercept form is,
This format undergoes no change when one implements it for the use of a two-variable inequality.
The parameter (m) represents the slope of a line, this can be found by using the formula (). Traditionally, one would use a formula to find the slope of a line that is the following, (
). However, in the given situation, one can simply count the number of boxes from one point with respect to the x-axis to another, and thus get (4).
The parameter (b) represents the point in which the graph intersects the y-axis, one can see that this point is (-2).
Since the line is dotted, one would only use the greater than symbol, not the greater than or equal-too-symbol.
Finally, since the area above the line is shaded, therefore one knows that it is (y) is greater than.
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Answer: Pythagorean Theorem Pieces of Right Triangles is not a justification for the proof.
Explanation : Here, is a right triangle with sides a, b and c. Perpendicular CD forms right triangles BDC and CDA.
CD measures h units, BD measures y units, DA measures x units.
Draw an altitude from point C to Line segment AB Let segment BC = a segment CA = b, segment AB = c, segment CD = h, segment DB = y, segment AD = x,
y + x = c
a/c=y/a( Similarity theorem in triangles ABC and DBC )
------(1) (Cross Product Property)
Similarly, (Similarity theorem in triangles ABC and ADC)---------(2)
(after adding equation (1) and (2) )
( By additional property of equality)
. ( because y + x=c)
Thus, it has been proved that except Pythagorean Theorem Pieces of Right Triangles we use all other properties.