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postnew [5]
2 years ago
9

A line with a slope of o passes through the points (9, z) and (-7, 5). What is the value of z?

Mathematics
1 answer:
pogonyaev2 years ago
5 0

Answer:

z = 5

Step-by-step explanation:

m = ∆y/∆x = y₂-y₁/x₂-x₁

0 = y₂-y₁/x₂-x₁ = 5 - z / -7 - 9 = 5 - z / -16 →

5 - z / -16 = 0 → 5 - z / -16 × -16 = 0 × -16 → 5 - z = 0 →

5 - z - 5 = 0 - 5 → -z = -5 → z = 5

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Franco made a dozen muffins for his party. Upon taking them out of the oven,
Naddik [55]

Answer:

Option B.

Step-by-step explanation:

This question is incomplete; find the complete question with the attachment.

Franco made number of muffins = a dozen

A dozen muffins = 12 muffins

Number of muffins were burned = 2

Remaining muffins = 12 - 2 = 10

Franco served 7 of the remaining non-burned muffins,

Fraction of muffins served = \frac{7}{10}

Remaining muffins = 3

Fraction of remaining muffins = \frac{3}{10}

Fraction of remaining non-burned muffins we can get from,

\frac{10}{10}-\frac{7}{10}=\frac{3}{10}

Option B is the correct equation.

7 0
3 years ago
Matt invests $1,669 in a saving account with a fixed annual interest rate of 2% compounded 12 times per year. How long will it t
vesna_86 [32]

Answer:

It will take 4.84 years

Step-by-step explanation:

The initial amount that Matt invested was $1669. It means that principal is

P = 1669

It was compounded 12 times per year. So

n = 12

The rate at which the principal was compounded is 2%. So

r = 2/100 = 0.02

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount in the account at the end of t years.

A = 1,844.38

Therefore

1,844.38 = 1669(1+0.02/12)^(12×t)

1,844.38/1669 = (1.0017)^(12t)

1.1051 = (1.0017)^(12t)

Taking log to base 10 of both sides, it becomes

Log 1.1051 = log 1.0017^(12t)

Log 1.1051 = 12tlog 1.0017

0.043 = 0.00074 × 12t

0.043 = 0.00888t

t = 0.043/0.00888

t = 4.84 years

6 0
2 years ago
Who invented the word "book?"
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Wow!!thats a word from the old english that made it
7 0
2 years ago
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Answer:

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6 0
2 years ago
Jamal wrote that 9 – 8.4 = 6.
stepan [7]

9−8.4=6

0.6≠6

False

I don't know...

6 0
2 years ago
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