HELP Describe any similarities or differences in the following equations: y = 4x and y = -4x -3
2 answers:
9514 1404 393
Answer:
- the lines have opposite slopes
- each is a mirror of the other in the line y = -1.5
- the point (-3/8, -3/2) is common to both lines
Step-by-step explanation:
The slope of the first line is 4; the slope of the second line is -4, so the slopes are opposites of each other. (The lines are not perpendicular.)
The y-intercept of the first line is 0; that of the second line is -3, so they cross the y-axis in different places.
Since the slopes are opposites of each other, one line is a reflection of the other about the horizontal line through the point where the lines meet. That point is ...
4x = -4x -3
8x = -3
x = -3/8
y = 4x = -3/2
The point of intersection (common to both lines) is (-3/8, -3/2).
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Answer:
41 square miles
Step-by-step explanation:
There are several ways you can compute the area of this polygon. We have elected to divide it into a rectangle and a triangle.
The rectangle has dimensions 8 × 4.5, so area ...
A = LW = 8 × 4.5 = 36 . . . . . square miles
The triangle has height 2.5 and base 4, so area ...
A = (1/2)bh = (1/2)(4)(2.5) = 5 . . . . . square miles
Then the total area is the sum of these:
36 + 5 = 41 . . . . . square miles
