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kumpel [21]
3 years ago
7

how to factor -9z^2 + 10z - 1 = 0 it’s been a while since i’ve been in school and i can’t seem to remember how please help

Mathematics
1 answer:
vichka [17]3 years ago
7 0

Answer:

z = 1/9   and    z = 1

Step-by-step explanation:

-9 z^{2} + 10z - 1 = 0

(-9z+1)(z-1) = 0

You can check the answer using foil method

Then,

(-9z+1) = 0

-9z = -1

z = 1/9

(z-1) = 0

z = 1

Answers:

z = 1/9

z = 1

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Answer:

9th Triangle

Step-by-step explanation:

Given the area of four triangles:40 cm^2, 90 cm^2, 202.5 cm^2 \:and\: 455.6 cm^2

If the Scale factor is 1.5.

This is a geometric sequence and the common ratio is 1.5 X 1.5.

Therefore, the area of any n triangle can be determined using the function:

A(n)=40\cdot1.5^{2(n-1)}

We want to determine which triangle has an area greater than 15000cm^2.

When A(n)=15000

40\cdot1.5^{2(n-1)}>15000\\1.5^{2(n-1)}>\frac{15000}{40} \\1.5^{2(n-1)}>375\\\text{Change to Logarithm form}\\2(n-1)>Log_{1.5}375\\\text{Applying logarithm change of base to base 10 law}\\2(n-1)>\frac{Log 375}{Log 1.5} \\2n-2>14.62\\2n>14.62+2=16.62\\n>8.31

Therefore, the 9th triangle has an area greater than 15000cm^2.

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3 years ago
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Leya [2.2K]

Answer:

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Answer:

Step-by-step explanation:

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----------------

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Solution C seems the best.

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2 years ago
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