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Umnica [9.8K]
3 years ago
10

Select the equation of the line that passes through the point (5,7) and is perpendicular to the x = 4

Mathematics
1 answer:
Kamila [148]3 years ago
3 0

Answer:

y= -1*x +12

Step-by-step explanation:

x=4 is a function that always has the value 4 for the x-axis, no matter y variable, this a vertical function.

Perpendicular Lines are those with the following condition:

y=a*x+b (1)

y=c*x+d (2)

Where a and c are the respective slope

If These two lines are perpendicular, then

a=- 1/c

Using those principles we have that the slope for our needed line has to be -1, since the slope for the first line is 1 (the coefficient of x is 1, in the line x=4)

Lets use the given point (5,7) in the equation (2)

7=-1 * 5 + d

resulting d=12

so, our equation for the line is y= -1*x +12

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If profit is represented by a polynomial function, and the function is graphed, what do the x - Intercept represent to the reade
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Breakeven quantity

Step-by-step explanation:

x intercepts are basically where there's no profit and no loss.

Revenue = cost

Which is also called the break even point

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Joe goes on Monday and buys a pair of pants that were regulary $45.00 What does he pay for the pants?
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Answer:

$45.00

Step-by-step explanation:

it's the same thing, there is no context, so it pushes for me to believe that the answer is the same

8 0
2 years ago
Help please
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Answer:

1. 7.66 x 10^4

2. 2.415×10²

Step-by-step explanation:

2. 8×105-5.7×105=241.5

4 0
2 years ago
the acceleration of an object due to gravity is 32 feet per second squared . what is the acceleratiin due to gravity in inches p
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Hope this helps you !!
3 0
3 years ago
Read 2 more answers
About 16 % of the population of a large country is allergic to pollen. If two people are randomly selected, what is the probabil
Vinvika [58]

Answer:

(a) 0.0256

(b) 0.2944

Step-by-step explanation:

For solving this exercise we can apply the binomial distribution. The equation that give as the probability is:

P(x,n,p)=(nCx)*p^{x} *(1-p)^{n-x}

Where n is the number of identical events, p is the probability that the event has a success and x is the number of success in the n identical events.

Additionally, nCx is calculated as:

nCx=\frac{n!}{x!(n-x)!}

So, in this case we have 2 identical events because we are going to select two people randomly and the probability p of success is the probability that the person is allergic to pollen and this probability is 16%.

Then, for the first case, x is 2 because their are asking for the probability that both are allergic to pollen. Replacing the values of x, n and p we get:

P(2,2,0.16)=(2C2)*0.16^{2} *(1-0.16)^{2-2}

P(2,2,0.16)=0.0256

For the second case, their are asking for the probability that at least one is allergic to pollen, that means that we need to sum the probability that both are allergic to pollen with the probability that just one is allergic to pollen.

Using the same equation to calculate P(1,2,0.16) we get:

P(1,2,0.16)=(2C1)*0.16^{1} *(1-0.16)^{2-1}

P(1,2,0.16)=0.2688

So, the probability that at least one person is allergic to pollen is 0.2944 and it is calculated as:

0.0256 + 0.2688 = 0.2944

7 0
3 years ago
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