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2 years ago

Find the equation of the line perpendicular to the 13x-3y=9 and passing through (-5,0)

Mathematics

1 answer:

aev [14]2 years ago

8 0

9514 1404 393

Answer:

x +4y = -5

Step-by-step explanation:

The equation of the perpendicular line can be found by swapping the x- and y-coefficients and negating one of them. The new constant can be found by substituting the point values into the equation.

3x +12y = 3(-5) +12(0)

3x +12y = -15

We notice that all of the values include a factor of 3. We can divide that out to put the equation in standard form:

x + 4y = -5

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You are a contractor and charge $45 for a site visit plus an additional $24 per hour for each hour you spend working at the site

tino4ka555 [31]

Answer:

Equation: 810= (90 + 24y)

y = 30 hours

Step-by-step explanation:

Given:

Site visit = $45 per site

cost per hour worked = $24

for <u>each </u>work site, the total amount of money earned

= site visit fee + cost for working

But the question mentions TWO sites, hence there will be two site visits. Therefore for TWO sites, we have to account for TWO site visit fee.

Therefore for TWO sites, the total amount of money earned

= site 1 visit fee + site 2 visit fee + cost for working

= (2 x site visit fee) + cost for working ------ Equation 1

We are further given that we worked y hours at the hourly work rate of $24 per hour.

Hence the cost for working

= y hours x hourly rate

= y x $24

= $24y (substituting this into equation 1 above)

for TWO sites, the total amount of money earned

= (2 x site visit fee) + cost for working

= (2 x $45) + $24y

= $90 + $24y

= $(90 + 24y)

We are also given that we have to earn $810 for two sites, hence

810 = 90 + 24y

810 - 90 = 24y

24y = 720

y = 720/24

y = 30 hours

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