Answer:
The equation of the line that is perpendicular to the line that passes through the point (-4, 2) is y = -9·x/5 + 18
Step-by-step explanation:
The coordinates of the point of intersection of the two lines = (5, 9)
The coordinates of a point on one of the two lines, line 1 = (-4, 4)
The slope of a line perpendicular to another line with slope, m = -1/m
Therefore, we have;
The slope, m₁, of the line 1 with the known point = (9 - 4)/(5 - (-4)) = 5/9
Therefore, the slope, m₂, of the line 2 perpendicular to the line that passes through the point (-4, 4) = -9/5
The equation of the line 2 is given as follows;
y - 9 = -9/5×(x - 5)
y - 9 = -9·x/5 + 9
y = -9·x/5 + 9 + 9
y = -9·x/5 + 18
Therefore, the equation of the line that is perpendicular to the line that passes through the point (-4, 2) is y = -9·x/5 + 18.
Answer:
267 in. squared
Step-by-step explanation:
11 * 17 = 187 in.
10 * 8 = 80 in.
187 + 80 = 267 in.
Answer:
Keith's unit rate of change of dollars with respect to time is $1500.
Step-by-step explanation:
It is given that Keith is saving money for a car.
Year 1: 1500
year 2: 3000
year 3: 4500
Let y be the saved amount after x year.
The coordinate pairs according to the given table are (1,1500), (2,3000) and (3,4500).
The formula for rate of change is
Consider any two coordinate pairs.
Let as consider (1,1500) and (2,3000). So, Keith's unit rate of change of dollars with respect to time is
Therefore, Keith's unit rate of change of dollars with respect to time is $1500.
<span>Round (x) 1 2 3 4 5
Players f(x) 256 128 64 32 16
16-256 / 5 - 1 = -240/4 = -60
</span><span>A.) −60; on average, there was a loss of 60 each round. </span>
10
The x’s represent just the people, and because the bottom line only represents time it doesn’t affect the amount of people.
