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3 years ago

Find a equation of a line that is perpendicular to y=-4x+3 and passes through the point (4,-1)

Mathematics

1 answer:

Deffense [45]3 years ago

5 0

Answer:

y = (-1/4)x

Step-by-step explanation:

the factor of x is in a line equation the slope of the line.

it residents actually the ratio of y/x.

in our original equation that means that for every change of x by 1 unit y changes by 4 units (actually -4 units) => -4/1 ratio.

a perpendicular line just reverses that ratio.

now, x had to change by 4 units for y to change by 1 unit (actually -1 unit)

=> -1/4

so, our wanted line equation must be in the form of

y = (-1/4)x + c

c is the offset of the line from the (0,0) point in y direction.

so, what is c ?

now we use the information of the point that is stored to be in that line : (4,-1)

=> -1 = (-1/4)×4 + c

=> -1 = -1 + c

=> c = 0

therefore, the desired line is

y = (-1/4)x

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4 years ago

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Rudik [331]

Answer:

$n = 65m$

Number of minutes is 80 minutes

Step-by-step explanation:

Given

The attached table

Calculating the number of copies the machine can make in a minute

Represent number of minutes with m and number of copies with n

First, we need to calculate the ratio of m to n

$Ratio = \frac{n}{m}$

When m = 5; n = 325

$Ratio = \frac{325}{5}$

$Ratio = 65$

When m = 10; n = 650

$Ratio = \frac{650}{10}$

$Ratio = 65$

When m = 15; n = 975

$Ratio = \frac{975}{15}$

$Ratio = 65$

When we continue for other values of m and n, the ratio remains the same;

So; we make use of $Ratio = \frac{n}{m}$ to determine the relationship between m and n

Substitute 65 for Ratio

$65 = \frac{n}{m}$

Multiply both sides by m

$m * 65 = \frac{n}{m} * m$

$65m = n$

$n = 65m$

This implies that, you have to multiply the number of minutes by 65 to get the number of copies

Calculating the number of minutes to print 5200 copies;

In this case;

Ratio = 65 and n = 5200

So;

$Ratio = \frac{n}{m}$ becomes

$65 = \frac{5200}{m}$

Multiply both sides by m

$65 * m = \frac{5200}{m} * m$

$65 * m = 5200$

Divide both sides by 65

$\frac{65 * m}{65} = \frac{5200}{65}$

$m = \frac{5200}{65}$

$m = 80$

Hence; number of minutes is 80 minutes

8 0

3 years ago

the correct mixture of oil to gas in a weed eater is 1/2 pint of oil to 2 1/2 gallons of gas. how many pints of oil are needed f

Stells [14]

This requires 2 pints of oil.

Using a proportion to solve this, we have:
$\frac{\frac{1}{2}}{2\frac{1}{2}}=\frac{x}{10}$

Cross multiplying, we have
1/2*10 = (2 1/2)*x
5 = (2 1/2)x

Divide both sides by 2 1/2:
5÷(2 1/2) = (2 1/2)x÷(2 1/2)
2 = x

8 0

3 years ago

Read 2 more answers

Find a equation of a line that is perpendicular to y￼=-4x+3 and passes through the point (4,-1)

Find a equation of a line that is perpendicular to y=-4x+3 and passes through the point (4,-1)