All categories

3 years ago

Write an equation in point-slope form for the line that passes through the point with the given slope.

Mathematics

1 answer:

viktelen [127]3 years ago

7 0

Answer:

y + 7 = -1 * (x + 3)

Step-by-step explanation:

Point slope form is y - y1 = m(x - x1)

Given:

(x1, y1) = (-6, -3)

m (slope) = -1

Plug it in:

y - (-6) = -1(x - (-3) )

y + 7 = -(x+3)

Answer: y + 7 = -1 * (x + 3)

You might be interested in

How do i solve this problem

Alekssandra [29.7K]

factor 9 out of the equation

18x^6 / 27x^4 becomes

2x^6 / 3x^4

cancel out common factors to get

2x^2/3

7 0

4 years ago

The average number of customers arriving at a gas station is 33 per hour during lunch hours. Use equation to denote the number o

Paha777 [63]

Answer:

The equation denoting the number of arrivals in 5 minutes is, $\frac{33}{60}\times5$ .

The number of arrivals in 5 minutes is 2.75.

Step-by-step explanation:

Let X = number of customers arriving at a gas station in an hour.

The average customers arriving at a gas station in an hour is, λ = 33.

The random variable X follows a Poisson distribution with parameter λ.

The probability mass function of a Poisson distribution is:

$P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!};\ x=0,1,2,3...$

In 60 minutes the number of arrivals is, 33.

In 1 minute the number of arrival will be, $\frac{33}{60}$ .

Then in 5 minutes the number of arrivals will be, $\frac{33}{60}\times5$ .

The equation denoting the number of arrivals in 5 minutes is, $\frac{33}{60}\times5$ .

The number of arrivals in 5 minutes is

$\frac{33}{60}\times5=2.75$

Thus, the number of arrivals in 5 minutes is 2.75.

5 0

3 years ago

If the permutations of the letters in the word SURE are numbered 1 through 24 in alphabetical order, what number is RUSE. The an

Lemur [1.5K]

Every possible combination of the letters SURE are going to be listed in alphabetical order. The permutation we want is RUSE which begins with the letter R and will come after every permutation that begins with E since it is the next alphabetically. We can first determine how many permutations begin with E.

Since we start with E, there are only three letters left to form the rest of the permutation. So 3! = 3*2*1 = 6 states that there are 6 permutations that can be made from the remaining three letters. So there will be 6 permutations that begin with E.

Using this same logic, we now know that there are 6 permutations that begin with the letter R. The letters USE are in reverse alphabetical order, which means that the word RUSE will appear as the last permutation that begins with R.

We know there are 6 permutations that begin with E, followed by 6 permutations that begin with R, making 12 total at this point. And since RUSE appears as the last permutation beginning we R, we know that RUSE shows up 12th.

5 0

3 years ago

The piecewise function h(x) is shown on the graph.

Aleksandr [31]

Answer:

Use the information in the table to select the true statement.

The 3rd nap is the least consistent in duration because its mean is the lowest.

The 3rd nap is the least consistent in duration because its standard deviation is the highest.

The 1st nap is the least consistent in duration because its mean is the highest.

The 2nd nap is the least consistent in duration because its standard deviation is the lowest.

Step-by-step explanation:

5 0

3 years ago

When given a triangle, how can you determine if it is a right triangle?

ipn [44]

Answer:

You can determine if it is a right triangle with the pythagorean theorem

Step-by-step explanation:

Search it up!

7 0

4 years ago

Read 2 more answers