Tell us whether the lines for each pair of equations are parallel, perpendicular, or neither:
1 answer:
Two lines are parallel if the gradient (i.e. the x coefficient) of them both is the same.
Two lines are perpendicular if the gradient has its sign changed and has it's fraction flipped (i.e. a gradient of 2/3 would become -3/2, and a gradient of 10 would become -1/10)
THe first one is in the correct form already, with a gradient of -4.
Now we need to rearrange the second:
The second equation has a gradient of 1/4, which is indeed the negative and reversal of -4, therefore the two lines are perpendicular.
Two lines are perpendicular if the gradient has its sign changed and has it's fraction flipped (i.e. a gradient of 2/3 would become -3/2, and a gradient of 10 would become -1/10)
THe first one is in the correct form already, with a gradient of -4.
Now we need to rearrange the second:
The second equation has a gradient of 1/4, which is indeed the negative and reversal of -4, therefore the two lines are perpendicular.
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Answer:
See explanation and results below.
Step-by-step explanation:
We have the following data:
Age (yr) when award was won Frequency 25-34 31 35-44 36 45-54 12 55-64 4 65-74 6 75-84 1 85-94 2
If we order the data we got the following result. We assume that the midpoint is given by:
The
And the limits are given by the lower and upper limit.
L.Limit U.Limit Class W Midpoint Frequency Limits
25 34 34-25=9 29.5 31 [25-34]
35 44 44-35=9 39.5 36 [35-44]
45 54 54-45=9 49.5 12 [45-54]
55 64 64-55=9 59.5 4 [55-64]
65 74 74-65=9 69.5 6 [65-74]
75 84 84-75=9 79.5 1 [75-84]
85 94 94-85=9 89.5 2 [85-94]
Answer:
<h2>In the attachment.</h2>Step-by-step explanation:
Convert the given equation to the form y = mx + b:
<em>add x to both sides</em>
<em>divide both sides by 2</em>
It's a linear function.
We need only two points to plot the graph. Select any two x values, insert into the equation and calculate y values.
for x = 1
for x = -5
