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2 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]2 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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When a number is added to 1/5 of itself, the result is 24. The equation that models this problem is n +1/5 n = 24. What is the v

Lady_Fox [76]

For this case we must find the value of n of the following equation:

$n + \frac {1} {5} n = 24$

Taking common factor "n" from the left side of the equation we have:

$n (1+ \frac {1} {5}) = 24\\n \frac {6} {5} = 24$

Multiplying by 5 on both sides of the equation:

$6n = 120$

Dividing between 6 on both sides of the equation:

$n = 20$

Thus, the value of n is 20.

Answer:

$n = 20$

7 0

3 years ago

Read 2 more answers

On average, 240 customers arrive at a bank every morning (8AM - noon), but they do so randomly (i.e., not exactly every minute).

arlik [135]

Answer:

3.4 minutes

Step-by-step explanation:

Every morning there are expected 240 customers who arrive at bank for the customer service. There are on average 240 customers arriving to the bank every morning. There are total 5 bank tellers and they take average 3 minutes to help customer. The average time each bank teller spends on satisfying a customer will be calculated using the linear model,

Using wait time calculator:

Average service time / standard deviation

Ce = 3/1.5 = 2

The spent time on a customer is 3.4 minutes.

7 0

3 years ago

Two chemicals A and B are combined to form a chemical C. The rate, or velocity, of the reaction is proportional to the product o

Keith_Richards [23]

Answer:

32.1 g

Step-by-step explanation:

In each 3 grams of C, there are 2 grams of A and 1 gram of B. So, for some amount C, the amount remaining of A is 40 -(2C/3), and the amount remaining of B is (50 -C/3). Since the reaction rate is proportional to the product of these amounts, we have ...

C' = k(40 -2C/3)(50 -C/3) = (2k/9)(60 -C)(150 -C) . . . for some constant k

This is separable differential equation with a solution of the form ...

ln((150 -C)/(60 -C)) = at + b

We know that C(0) = 0, so b=ln(150/60) = ln(2.5). And we know that C(10) = 20, so ln(130/40) = 10a +ln(2.5) ⇒ a = ln(1.3)/10

Then our equation for C is ...

ln((150 -C)/(60 -C)) = t·ln(1.3)/10 +ln(2.5)

For t=20, this is ...

ln((150 -C)/(60 -C)) = 2ln(1.3) +ln(2.5) = ln(2.5·1.3²) = ln(4.225)

Taking antilogs, we have ...

(150 -C)/(60 -C) = 4.225

1 +90/(60 -C) = 4.225

C = 60 -90/3.225 ≈ 32.093 . . . . . grams of product in 20 minutes

In 20 minutes, about 32.1 grams of C are formed.

7 0

2 years ago

What is 75 + 15x ≥ 140

melomori [17]

75+ 15x ≥ 140
⇒ 15x ≥ 140-75
⇒ 15x ≥ 65
⇒ x ≥ 65/15
⇒ x ≥ 13/3
⇒ x ≥ 4 1/3

Final answer: x ≥ 4 1/3~

8 0

3 years ago

What's the estimate of 608×8

rusak2 [61]

Answer:

3,200

Step-by-step explanation:

you would have to multiply then estimate wich round it down an dyou get 3,200

3 0

3 years ago

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)