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lana [24]
3 years ago
5

What is the slope of the street line through points (2,10) and (5,8)

Mathematics
2 answers:
Crank3 years ago
6 0
Y=mx+b is the equation of a linear function, which is what this question is asking.

since you have 2 points, you can use this equation for solve for "m", the slope

y2-y1/x2-x1

this would be 10-5/8-2 in this case, which is 5/4
you now have 5/4 as your slope
you can then take one of your points, and substitute in for the original y=mx+b equation
8 = 5/4 * 5  + b
8 = 25/4 + b                multiply the fractions together (multiply across)
32 = 25 + b     (multiply both sides by 4 to eliminate the fraction
7 = b         ( subtract 25 from both sides )


Archy [21]3 years ago
3 0
The slope is -2/3. I hope this help c:
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Answer:

-22.7

Step-by-step explanation:

Since the temperature fell, that would means that it's was cooler outside.

Hotter = Temperature goes up

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3 years ago
Prove that for any natural n the number 3^(n+4)−3^n is divisible by 16.
gtnhenbr [62]

Answer:

Proved (See Explanation)

Step-by-step explanation:

Show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.

This is done as follows

\frac{3^{n+4} - 3^n}{16}

From laws of indices;

aᵐ⁺ⁿ = aᵐ * aⁿ.

So, 3ⁿ⁺⁴ can be written as 3ⁿ * 3⁴.

\frac{3^{n+4} - 3^n}{16} becomes

\frac{3^n * 3^4 - 3^n}{16}

Factorize

\frac{3^n(3^4 - 1)}{16}

\frac{3^n(81 - 1)}{16}

\frac{3^n(80)}{16}

3ⁿ * 5

5(3ⁿ)

<em>The expression can not be further simplified.</em>

<em>However, we can conclude that when 3ⁿ⁺⁴ - 3ⁿ is divisible by 16, because 5(3ⁿ) is a natural whole number as long as n is a natural whole number.</em>

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3 years ago
PLZ HELP NOW I WILL GIVE BRAINLIEST!
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Answer:

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Step-by-step explanation:

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What does the discriminant determine?
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