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iren [92.7K]
3 years ago
6

Passes through (3,1) ,perpendicular to y=-3x+2

Mathematics
2 answers:
vodka [1.7K]3 years ago
8 0
As it is perpendicular to y = -3x + 2 and the gradient of that is -3 we know that the gradient of our line must be -1 / -3 = 1/3.

Now we have the general equation of a line m = (y-y1)/(x-x1) to which we can substitute our values.

1/3 = (y - 1)/(x - 3)
x - 3 = 3 * (y - 1)
x - 3 = 3y - 3
x = 3y

padilas [110]3 years ago
5 0
Slope would be 1/3 so do rise over run from your point
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Answer:

\$(990-t)

Step-by-step explanation:

The correct question is

Susan works as a tutor for $10 and hour, and as a waitress for $11 an hour. This month, she worked a combined total of 90 hours at her two jobs. Let t be the number of hours Susan worked as a tutor this month. Write an expression for the combined total dollar amount she earned this month

Let

t -----> the number of hours that Susan work as a tutor

y ----> the number of hours that Susan work as a waitress

z ---> the combined total dollar amount she earned this month

we know that

t+y=90

y=90-t-----> equation A

we know that

The combined total dollar amount she earned this month is equal to the number of hours that Susan work as a tutor multiplied by $10 plus the number of hours that Susan work as a waitress multiplied by $11

z=10t+11y ----> equation B

substitute equation A in equation B

z=10t+11(90-t)

z=10t+990-11t

z=990-t

therefore

The expression for the combined total dollar amount is $(990-t)

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