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Igoryamba
3 years ago
9

Write the equation of the line that passes through the points (-6, -9) and

Mathematics
1 answer:
e-lub [12.9K]3 years ago
3 0

Answer:

y - 7 = 16/13(x - 7)

General Formulas and Concepts:

<u>Alg I</u>

Point-Slope Form: y - y₁ = m(x - x₁)  

  • x₁ - x coordinate
  • y₁ - y coordinate
  • m - slope

Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (-6, -9)

Point (7, 7)

<u>Step 2: Find slope </u><u><em>m</em></u>

  1. Substitute:                   m=\frac{7+9}{7+6}
  2. Add:                             m=\frac{16}{13}

<u>Step 3: Write equation</u>

y - 7 = 16/13(x - 7)

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So this is our table:

               -----------------
x-values | a b c d e f  |
               -----------------
y-values | g h  i  j k l   |
               -----------------

You can know that the values in the table are proportional if:

\frac{a}{g}=\frac{b}{h} =\frac{c}{i}=\frac{d}{j}=\frac{e}{k}=\frac{f}{l}

Hope that helps :)
5 0
3 years ago
Show how to determine whether (2x – 4) is a factor of the polynomial 2x^5 – 4x^4 + 2x^2 – 2x - 4
amid [387]

Answer:

See explanation.

Step-by-step explanation:

First put 2x-4 equal to 0 and solve it.

2x-4=0

2x=4

x=2

Now plug 2 into the polynomial and see if it equals to 0

In case it's not, then it is not a factor of it

2(2)^5 - 4(2)^4 + 2x^2 -2(2) - 4 = 0


So it's indeed a factor of the polynomial.


Hope this helps!

8 0
3 years ago
3 days converted to seconds
Aleksandr [31]
259,200 seconds!!

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8 0
3 years ago
Read 2 more answers
The sum of the squares of two consecutive integers is 145. Find the two integers.
worty [1.4K]

Answer: The two integers are 8 and 9.

Step-by-step explanation: Let n represent the number.

n^2 + (n + 1)^2 = 145

By foiling, this can be rearranged to:

n^2 + n^2 + 2n + 1 = 145

Subtract 145 from both sides:

2n^2 + 2n - 144 = 0

Divide both sides by 2:

n^2 + n - 72 = 0

Factor the polynomial:

(n + 9)(n - 8) = 0

Solve for n:

n = -9, n = 8

Since they need to be consecutive, make the 9 positive. It will be positive either way because it is being squared.

Now, n = 9 and n = 8.

These are your two integers. Hope this helps!

6 0
3 years ago
Why is partitioning a directed line segment into a ratio of 1:3 not the same as finding One-third the length of the directed lin
GrogVix [38]

The reason why partitioning and fractioning are different is because; The ratio given is part to part. The total number of parts in the whole is 1 + 3 = 4.

<h3>Why is partitioning different from fractioning?</h3>

It follows from the task content that a close analysis of the statement of ratios; 1:3 implies that the whole is divided into four parts; 1+3 = 4.

On the contrary, one-third simply means 1 out of 3 equal parts of the line.

Read more on fractions;

brainly.com/question/17220365

#SPJ1

7 0
1 year ago
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