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Alex_Xolod [135]
2 years ago
14

use the point–slope formula to write an equation of the line that passes through(-5, -16 )and has a slope of m = 3 . Write the a

nswer in slope–intercept form (if possible).
Mathematics
1 answer:
scoray [572]2 years ago
5 0

Answer:

y + 16 = 3(x + 5)

Step-by-step explanation:

When you write an equation in point-slope form, you only need two things: a point and a slope.

Given:

  • point: (-5, -16)
  • slope (m): 3

The standard point-slope equation is

y - y₁ = m(x - x₁)

Plug in what you know.

y - (-16) = 3(x - (-5))

Simplify.

y + 16 = 3(x + 5)

This is your equation.

Learn with another example:

brainly.com/question/24436844

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9. Determine whether or not the number 257 is prime.
Sladkaya [172]

Answer:

257 is prime.

Step-by-step explanation:

To evaluate if a number is prime, we just need to evaluate it for the prime numbers that are equal or lesser than the said number's square root.

In this case, √257 = 16.03 so we just need to see if 257 is divisible by <u>2, 3, 5, 7, 11 and 13</u> (the prime numbers that come before 16)

  • 257 is odd, so it is not divisible by 2.
  • The sum of its digits is 14, therefore, it is not divisible by 3.
  • 257 ends in 7, therefore it's not divisible by 5.
  • 257/ 7 = 36.71 so it's not divisible by 7.
  • 257/ 11 = 23.36 so it's not divisible by 11
  • Finally 257 / 13= 19.76 so it's not divisible by 13.

Therefore, 257 is prime.

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Step-by-step explanation:

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No. Using multiplication and division, you and your partner will not each get the same number of flips because one can flip 23 times, while the other does it 22 times.

<h3>What are mathematical operations?</h3>

The basic mathematical operations include addition, subtraction, multiplication, and division.

These mathematical operations are performed on numbers, variables, equations, and functions to determine numerical results.

In this situation, we first multiply to get the total number of times the 3 bottles can be flipped.

This total is divided by 2 to see if there will not be a remainder.  The result of the division operation is an odd value.

The number of bottles for flipping = 3

The number of times to flip each bottle = 15 times

The total number of times to flip the 3 bottles = 45 times 93 x 15)

The number of those conducting the bottle flipping experiment = 2

The number of times each partner can flip the bottles evenly = 22.5 times (45/2)

Each partner cannot flip the same number of times based on the mathematical operations because 45 is not an even number.

Learn more about mathematical operations at brainly.com/question/20628271

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