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o-na [289]
2 years ago
7

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

Mathematics
1 answer:
kirill [66]2 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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nataly862011 [7]
I assume you meant to write 5^c = 125. The equivalent logarithmic expression for this would be ㏒₅125=c.
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3 years ago
On hot, sunny, summer days, Jane rents inner tubes by the river that runs through her town. Based on her past experience, she ha
Sveta_85 [38]

Answer:

a. P(X=50)= 0.36

b. P(X≤75) =  0.9

c. P(X>50)=  0.48

d. P(X<100) = 0.9

Step-by-step explanation:

The given data is

x                      25        50       75        100          Total

P(x)                0.16       0.36    0.38    0.10          1.00

Where X is the variable and P(X) = probabililty of that variable.

From the above

a. P(X=50)= 0.36

We add the probabilities of the variable below and equal to 75

b. P(X≤75) = 0.16+ 0.36+ 0.38= 0.9

We find the probability of the variable greater than 50 and add it.

c. P(X>50)= 0.38+0.10=  0.48

It can be calculated in two ways. One is to subtract the probability of 100 from total probability of 1. And the other is to add the probabilities of all the variables less than 100 . Both would give the same answer.

d. P(X<100)= 1- P(X=100)= 1-0.1= 0.9

8 0
2 years ago
I need these by today help
yulyashka [42]

Answer:

Step-by-step explanation:

1.

-4, -2, 0, 4, 10

2.

-2.9, -2.83, -2.09, 2.07, 2.56

3.

-3, -1/10, 1/10, 1/2, 7/8

4.

-3, -2, -0.8, -1/10, 1/2, 0.8, 7

this image might help :))

8 0
2 years ago
Read 2 more answers
(2a^-2)(3a^3b^2)(c^-2)
aalyn [17]

Answer:

Step-by-step explanation:

7 0
2 years ago
The temperature at 12 am was 44 degrees. The temperature dropped steadily for the next 8 hours to reach the daytime low of 20 de
adelina 88 [10]

Answer:

62 degrees

Step-by-step explanation:

Points (12,440 and (20,20)

Slope = -3

Equation of line: y - 44 = -3(x - 12)

Plug in x = 6 to get y = 62.

6 0
2 years ago
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