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3 years ago

What is the slope of the line passing thru the points (-6,-5) (4,4)

Mathematics

1 answer:

Katena32 [7]3 years ago

8 0

Answer:

slope = $\frac{9}{10}$

Step-by-step explanation:

Calculate the slope m using the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 6, - 5) and (x₂, y₂ ) = (4, 4)

m= $\frac{4+5}{4+6}$ = $\frac{9}{10}$

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I’m honestly confused on how to solve for k. please help.

stellarik [79]

Answer:

k=9

Step-by-step explanation:

$slope = \frac{y2 - y1 }{x2 - x1} \\ \frac{ - 5}{2} = \frac{ - 11 - k}{6 - ( - 2)} \\ - ( \frac{5}{2} ) = - ( \frac{11 + k}{8} ) \\ \frac{5}{2} = \frac{11 + k}{8} \\ 5 \times 8 = 2(11 + k) \\ 40 = 22 + 2k \\ k = \frac{40 - 22}{2} \\ k = 9$

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2 years ago

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3 years ago

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Suppose Austin, Texas, is hit by a tornado that destroys 25 percent of the housing in the area. Would you expect the total expen

notsponge [240]

Answer:

greater than what it was before

Step-by-step explanation:

Remember, a tornado usually causes significant structural damages to houses within its area of impact., and this requires running expenses to repair the damage.

Hence, since the term expenditure, also implies expenses; we can expect the total expenditure on housing after the tornado to be greater than what it was before the tornado since families would be paying for repairs.

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3 years ago

5.012121212 rational or irrational?

Inga [223]

Answer:

rational

Step-by-step explanation:

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3 years ago

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What is the equation of the line that is parallel to the line defined by the equation y = 3x + 6 and goes through the point (3,

saw5 [17]

Answer:

Step-by-step explanation:

Parallel lines have the same slope. The slope of the given line is 3. The easy way to do this, the one that uses our logical brains as opposed to our mathematical brain, tells us that since there is only one choice that has a given slope of 3, that is the one that we want. The second choice down is the only one that has a slope of 3.

Mathematically,

$y-2=3(x-3)$ and

$y-2=3x=9$ and

$y=3x-9+2$ so

y = 3x - 7 (the second choice)

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3 years ago