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Rus_ich [418]
2 years ago
5

What is the equation of the following line? Be sure to scroll down first to see

Mathematics
1 answer:
topjm [15]2 years ago
8 0

Answer: (f)

Step-by-step explanation:

Given

Line that passes through (-\frac{1}{2},3) and (0,0)

Using two point form, equation of a line is given by

\Rightarrow \dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}

Insert the values

\Rightarrow \dfrac{y-0}{x-0}=\dfrac{3-0}{-\frac{1}{2}-0}\\\\\Rightarrow \dfrac{y}{x}=-6\\\\\Rightarrow y=-6x

Thus, option (f) is correct

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What is 18-0.9 if you know answer pls lol
Harlamova29_29 [7]

Answer:

17.1

Step-by-step explanation:

3 0
3 years ago
Solve the system using elimination.<br><br> 2x-4y=-22<br> 7x+5y=18<br><br> what are the coordinates
user100 [1]

Answer:

The coordinates are (22, 18)

Step-by-step explanation: hope this helps its a bit easy if ur in middle school

6 0
3 years ago
Seven less than twice a<br> number is negative five.<br> What is the number?
otez555 [7]

Answer:

n = 1

Step-by-step explanation:

Represent the number by n.  Then "seven less than twice a number is -5 becomes 2n - 7 = -5

Next we must solve for n.  Adding 7 to both sides yields 2n = 2, so that

n = 1

5 0
3 years ago
A levee was designed to protect against floods with an annual exceedance probability of 0.02. A larger flood would cause the lev
LuckyWell [14K]

Answer:

66.76% probability that the levee will NEVER fail in the next 20 years.

Step-by-step explanation:

For each year, there are only two possible outcomes. Either a levee fails during the year, or no levees fail. In each year, the probabilities of levees failing are independent from each other. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem we have that:

A levee was designed to protect against floods with an annual exceedance probability of 0.02. This means that p = 0.02

What is the risk that the levee will NEVER fail in the next 20 years?

This is P(X = 0) when n = 20. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{20,0}*(0.02)^{0}*.(0.98)^{20} = 0.6676

66.76% probability that the levee will NEVER fail in the next 20 years.

7 0
3 years ago
Help please<br> ……………………..
ExtremeBDS [4]

Answer:

b ≈ 48.6°

Step-by-step explanation:

Using the sine ratio in the right triangle

sin b = \frac{opposite}{hypotenuse} = \frac{9}{12} , then

b = sin^{-1} (\frac{9}{12} ) ≈ 48.6° ( to 1 dec. place )

8 0
3 years ago
Read 2 more answers
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