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3 years ago

Can somebody help me please

Mathematics

1 answer:

OverLord2011 [107]3 years ago

8 0

Answer:

m=1/2 or 0.5

Step-by-step explanation:

The slope formula is y2-y1/x2-x1

so plug in the ordered pairs to get the answer.

1-0/-3+5=1/2

m=1/2 or 0.5

Just in case you're wondering why I added -3+5 instead of -3-5 its because the 5 was already negative and if you have 2 negatives together it becomes positive so it becomes -3+5.

Hope this helps!:)

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The sum of the second and third terms of a geometric progression is six times the fourth term.

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Step-by-step explanation:

a2 = a1×r

a3 = a1×r²

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r + r² = 6r³

6r³ - r² - r = 0

r×(6r² - r - 1) = 0

the first solution is obvious : r = 0.

but this is no useful ratio for a geometric sequence.

the other 2 solutions are in

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the general solutions for a quadratic equation are

(-b ± sqrt(b² - 4ac))/(2a)

in our case

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so,

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r2 = (1-5)/12 = -4/12 = -1/3

we can ignore r2 (negative) and just focus on r1 (1/2).

the second term is 8. that means

a2 = 8 = a1×r = a1×1/2

a1 = 2×a2 = 16

so, we have

a1 = 16

a2 = 8

a3 = a2×1/2 = 8×1/2 = 4

a4 = a3×1/2 = 4×1/2 = 2

a5 = a4×1/2 = 2×1/2 = 1

a6 = a5×1/2 = 1×1/2 = 1/2

a7 = a6×1/2 = 1/2 × 1/2 = 1/4

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