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3 years ago

What is an equation of the line through (-1,-4) and parallel to the line 3x+y=s

Mathematics

1 answer:

timofeeve [1]3 years ago

4 0

line: 3x + y = s

y = s - 3x

To two lines be parallel both angular coeficients need to be equal

In y = s - 3x our angular coeficient is -3

y = ax + b where a is angular and b is linear

Now we have the equation

(y - yo) = m.(x - xo)

(y - (-4)) = -3.(x - (-1))

y + 4 = -3.(x + 1)

y + 4 = -3x - 3

y = -3x - 3 - 4

y = -3x - 7 is parallel to y = -3x + s

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2 years ago

Brett has a $30 online gift certificate. He plans to buy as many books as he can. The cost of each book is $4. There is also a s

kkurt [141]

Answer:

7 books

Step-by-step explanation:

make an equation

x = # of books each book is $4 so its 4x

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the equation looks like this:

4x + 2 = 30

we set equal to 30 cuz he can't spend more than $30

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2 years ago

Translate this sentence into a multi-step equation Six more than the quotient of a number and 8 is equal to 2.

Korvikt [17]

Answer:

6+n/8=2

Step-by-step explanation:

* More Than = (+) or in some cases (>)

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* Equal = <---

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2 years ago

Find the two numbers that have a<br> difference of 3 and a sum of 27.

polet [3.4K]

12 and 15

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2 years ago

Read 2 more answers

Marcos purchased a sail boat for $56,900. He anticipates each year the boat will decrease in value by 8.1% from the previous yea

Varvara68 [4.7K]

Answer: $56,900\left( 0.919\right)^x$

Step-by-step explanation:

Given

Marcos purchased a sailboat for $\$56,900$

Each year the boat will decrease in value by $8.1\%$

After 1 year it is

$\Rightarrow 56,900-56,900\times 0.081\\\Rightarrow 56,900\left( 1-0.081\right)\\$

after another year it becomes

$\Rightarrow 56,900\left( 1-0.081\right)-56,900\left( 1-0.081\right)\times 0.081\\\Rightarrow 56,900\left( 1-0.081\right)\cdot \left( 1-0.081\right)\\\Rightarrow 56,900\left( 1-0.081\right)^2$

After $x$ years it is

$\Rightarrow 56,900\left( 1-0.081\right)^x$

$\Rightarrow 56,900\left( 0.919\right)^x$

5 0

2 years ago