Answer:
By definition, -6 is the additive inverse of 6, which is that number that when added to 6 gives zero.
Answer:
The top of the ladder is now at 10 ft.
Step-by-step explanation:
At the start, we have a height H=6, a length L=10 and a base B, that has to be calculated by the Pythagorean theorem:
The base is moved twice the distance the height moves up.
We called this distance x, so we have:
The new height (H+x) is
The base travels 2x=8, so the new base B' is 0.
This means that the ladder is all against the wall (L=H').
Answer:
set middle number=x
then left side number=x-1
and right side number=x+1
(x-1)+x+(x+1)＝30
3x=30
x=10
x-1=9
x+1=11
numbers are 9,10,11
Considering the slopes of the given lines, they are parallel lines.
<h3>When are lines parallel, perpendicular or neither?</h3>
The slope, given by <u>change in y divided by change in x</u>, determines if the lines are parallel, perpendicular, or neither, as follows:
- If they are equal, the lines are parallel.
- If their multiplication is of -1, they are perpendicular.
- Otherwise, they are neither.
The first line, in standard form, is given by:
5y = x + 5
y = 0.2x + 1.
The slope is of m = 0.2.
For the second line, we have that:
25y = 5x - 75
y = 0.2x - 3
The slope is of m = 0.2.
Same slope, hence the lines are parallel.
More can be learned about the slope of a line at brainly.com/question/12207360
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