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faltersainse [42]
3 years ago
7

Find the slope of the line (-4, -1) (1, 4)

Mathematics
2 answers:
tatyana61 [14]3 years ago
8 0
The slope of the line would be 5/5 but simplified to 1

timofeeve [1]3 years ago
7 0

(y - yo) = m.(x - xo)

We have two points (-4, -1) and (1, 4)

(-1 - 4) = m.(-4 - 1)

(-5) = m.(-5)

m = (-5)/(-5)

m = 1

So the slope is 1

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2. Determine the sum of the first 400 ODD numbers.<br><br>​
il63 [147K]

Odd numbers take the form 2n-1, where n\ge1 is an integer. When n=400, the last odd number would be 799. So we're adding

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S=799+797+795+\cdots+5+3+1

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We could also make use of the formulas,

\displaystyle\sum_{i=1}^n1=n

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We have

S=\displaystyle\sum_{i=1}^{400}(2i-1)=2\sum_{i=1}^{400}i-\sum_{i=1}^{400}1=400(400+1)-400=400^2=160,000

3 0
3 years ago
What is the exact distance from (-4, -2) to (4, 6)? (4 points)
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