The rectangle below has an area of 70y^8+30y^6.The width of the rectangle is equal to the greatest common monomial factor of 70y
1 answer:
Answer:
Width units
Length units
Step-by-step explanation:
The rectangle has an area of
The width of the rectangle is equal to the greatest common monomial factor of and
Find this monomial factor:
Hence, the width of the rectangle is units.
The area of the rectangle can be rewritten as
The area of the rectangle is the product of its width by its length, then the length of the rectangle is units.
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The one across it is 100 and on both sides
Answer:
1. Not possible. The slope of such a line is undefined. Its equation is x=7.
2. y = 3x -2
3. The slope is undefined. (The line is a vertical line.)
Step-by-step explanation:
1. The y-axis is a vertical line. Computing the slope of such a line involves division by zero, an operation that is undefined. Since the line is parallel to the y-axis, there is no y-intercept.
In slope-intercept form, the equation would be useless:
... y = (undefined)x + (no such value)
If your point is supposed to be (7, 8)*, the more useful equation is the "standard form" equation:
... x = 7
2. The slope of the perpendicular line is the negative reciprocal of this:
... m = -1/(-1/3) = 3
In point-slope form, the equation of the perpendicular line through the given point is ...
... y = 3(x -2) +4
... y = 3x -2 . . . . . . . . simplified to slope-intercept form
3. The slope is computed from ...
... m = (change in y)/(change in x) = (-3 -4)/(-1 -(-1)) = -7/0 = undefined
The slope is undefined. This tells you the line is a vertical line. Its location is the x-value of the points, ...
... x = -1
_____
* If your point is really (77, 88), then the line has equation x = 77.
