Number 4 (Which proportion represents the problem below)
1 answer:
Answer:
Step-by-step explanation:
You can start by translating the English statement to a math sentence:
17% × n = 43 . . . . . . 17% of a number is 43
To form a proportion like the answer choices, you can divide by n:
17/100 = 43/n . . . . . . matches selection D
_____
Of course, you know that 17% is the same as 17/100. (% is a shorthand way to write /100.)
_____
As a check on your answer, you can use your number sense to compare the size of n and 43. 17/100 = 43/n means that n will be larger than 43. 17/100 = n/43 means that 43 is larger than n. If 43 is a small fraction of n, then n must be larger than 43, so n/43 = 17/100 cannot be the appropriate proportion.
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Answer:
The Slope of Line 1 is ->
The Slope of Line 2 is ->
These two lines are - > Perpendicular
Step-by-step explanation:
To find the slope of line one, you follow these steps:
First Coordinate 10 -> x1, 5 -> y1
Second Coordinate -8 -> x2, 9 -> y2
Then insert the assigned values into this equation: ->
which equals
which simplifies to
Then do the same process to find the slop of line 2:
First Coord: 2 -> x1, -4 -> y1
Second Coord: 11 -> x2, -6 -> y2
Then insert the values into this equation: ->
which equals
.
We know the lines are perpendicular by:
a. Typing the equations of the lines into a graphing calculator and observing the graph
b. Looking at the slopes. By looking at the slopes, we see that the slope of line 1 is the reciprocal of line 2, and vice versa. Since reciprocal slopes indicate perpendicular lines, the lines 1 and 2 are perpendicular to each other.
Hope this helps!