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lorasvet [3.4K]
2 years ago
15

Which equations below represent lines that are perpendicular to the line that contains (1, -2) and (3, 4)? (CHECK PICS FOR ANSWE

R CHOICES, CHOOSE MORE THAN ONE IF NECESSARY)

Mathematics
1 answer:
Gala2k [10]2 years ago
8 0

First, let's find the slope of the line from the points given.

m = (4 - - 2) / (3 - 1)

m = 6 / 2

m = 3

Secondly, we know that a line perpendicular to the original must have a slope that is the opposite reciprocal of the original. For the given points, the opposite reciprocal slope would be -1/3.

Now, we can put all of the equations below into slope intercept form and find the ones that have a slope of -1/3.

Equation 1: Correct

y = -1/3x - 5

Equation 2: Incorrect

y = 3x - 3

Equation 3: Incorrect

y - 2 = 3(x + 1)

y - 2 = 3x + 1

y = 3x + 2

Equation 4: Correct

x + 3y = 9

3y = -x + 9

y = -1/3x + 3

Equation 5: Incorrect

3x + y = -5

y = -3x - 5

Hope this helps!! :)

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assuming the growth rate stays constant at 1.2%, how many doublings would take place in a 500- year period?
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Answer:

  8.6

Step-by-step explanation:

The growth factor per year is 1.012, so in 500 years is ...

  1.012^500

The number of doublings is the solution to ...

  2^n = 1.012^500

Taking logarithms, we have ...

  n·log(2) = 500·log(1.012)

  n = 500·log(1.012)/log(2) ≈ 8.6046

About 8.6 doublings will take place in 500 years.

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2 years ago
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Answer:

3

Step-by-step explanation:

3^1=3 divided by 8 will give a remainder of 3

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3^3=27 divided by 8 will give a remainder of 3

3^4=81 divided by 8 will give a remainder of 1

3^5=243 divided by 8 will give a remainder of 3

You will notice that 3^n will give 3 when n is odd number and 1 when n is even number

Since n=99 and 99 is an odd number,

Then the remainder is 3

3 0
2 years ago
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<span>10q + 5 = 5q + 5q + 5

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sattari [20]

Answer:

-9/5

Step-by-step explanation:

Step 1: Take the LCM in the denominator

6/5-3

multiply the numerator and denominator by 5 to make the denominator 5.

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5  1 (x5)

=<u>6-15</u>  

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