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o-na [289]
3 years ago
7

What is the equation of a line passing between the points below? (-3,1) (5,-7)

Mathematics
1 answer:
kirill [66]3 years ago
4 0

Answer:

Ax + Ay + 2A = 0 for any nonzero A, for example (A=1): x + y + 2 = 0

Step-by-step explanation:

The equation of a line is

Ax + By + C = 0

so we know that:

A*-3 + B*1 + C = 0

A*5 + B*-7 + C = 0

Let's subtract one from the other:

A*(-3 - 5) + B*(1 + -7) = 0

A*-8 + B*8 = 0

B*8 = A*8

B = A

Let's input B = A into the first two equations

A*-3 + A*1 + C = A*-2 + C = 0

A*5 + A*-7 + C = A*-2 + C = 0

checks out

C = 2A

So for any nonzero A the equation of

Ax + Ay + 2A = 0 produces a line passing between the points. Example would be

x + y + 2 = 0

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Plzzzzzzzzzzzzzzzz asap help
Mashcka [7]

Answer:

2.4

Step-by-step explanation:

Okay so first what you would do is find the common difference we can find this by doing 5/3 which is 1.66666666667 (rounded to 1.7)

Then what we do is 4 divided by 1.66666666667 which is 2.4

6 0
3 years ago
On the first day, Maria and Emily make flowers together for 1 hour and 25 minutes. In the time it takes Emily to make 2 paper fl
qwelly [4]
Okay, this is a proportion question. they make 45 flowers every 1 hour and 25 minutes, or 45/85(85 is equivalent to 1 hour and 25 minutes). and they made 100 flowers at the same rate as the first day. so you need to know how long it took them to make 100 flowers, if they make 45 every 85 minutes. so 45 (flowers) to 85 (minutes) = 100 (flowers) to x (minutes). or 45/85=100/x. so when you work that out, I came to 189 minutes, which is 3 hours and 9 minutes, so they stopped at 4:24. But you could round and get 4:25. Hope I didn't confuse you!


8 0
3 years ago
A researcher obtains t = 2.35 for a repeated-measures study using a sample of n = 8 participants. Based on this t value, what is
ZanzabumX [31]

Answer:

p_v =2*P(t_{7}>2.35)=2*0.0255=0.051  

If we compare the p value and using the significance level given \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% or 1% of significance we fail to reject the null hypothesis.

Step-by-step explanation:

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level is not provided but we can assume it as \alpha=0.05. First we need to calculate the degrees of freedom like this:

df=n-1=8-1=7

The next step would be calculate the p value for this test.  Since is a bilateral test or two tailed test, the p value would be:  

p_v =2*P(t_{7}>2.35)=2*0.0255=0.051  

If we compare the p value and using the significance level given \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% or 1% of significance we fail to reject the null hypothesis.  

5 0
4 years ago
The expression 14s(s - 1) can be used to find
Fantom [35]

Answer:

B. The variable s represents the number of students in each class.

C. The coefficient 14 represents the number of classes in the 9th grade.

Step-by-step explanation:

The total number can be found by multiplying the number of the things with the number of people producing it. For example if 5 boys make 5  colored ropes the total number of ropes will be 5*5= 25.

In this question the combinations rule is used for variuos number of classes which are 14. Now we have to find the number of students which are s (s-1). Suppose s= 6 so the number of students would be 6(6-1) = 6(5) = 30

We will multiply the number of classes 14 with the number of students s(s-1) to get the total number of cards produced.

6 0
3 years ago
Urgent help needed. Will mark you brainlest when correct
posledela

Question 7: Option (4)

A=(3/8)^2=\frac{9}{64}

Question 8: Option (3)

A=\frac{1}{2}(17)(9)=76.5

Question 9: Option (2)

A=\pi(10)^2 \approx 314

7 0
2 years ago
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