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Kamila [148]
2 years ago
9

Find the product of-10/5 x (-15/5)

Mathematics
2 answers:
taurus [48]2 years ago
7 0

Answer:

6

Step-by-step explanation:

Equation: -\frac{10}{5}\cdot -\frac{15}{5}

1). Apply -a(-b)-ab: -\frac{10}{5}(-\frac{15}{5}=\frac{10}{5}\cdot \frac{15}{5}

2). \frac{10}{5} simplfies to 2, so 2\cdot \frac{15}{5}

3). 2\cdot 3

ikadub [295]2 years ago
6 0

Answer:

6

Step-by-step explanation:use math- way it will help you in future

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Complete the equation of the line through (-9,-9) and (-6,0)
Rudik [331]

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

y = mx + b

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis.

According to the data of the statement we have the following points:

(x_ {1}, y_ {1}): (- 9, -9)\\(x_ {2}, y_ {2}): (- 6,0)

We found the slope:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {0 - (- 9)} {- 6 - (- 9)} = \frac { 9} {- 6 + 9} = \frac {9} {3} = 3

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y = 3x + b

We substitute one of the points and find b:

0 = 3 (-6) + b\\0 = -18 + b\\b = 18

Finally, the equation is:

y = 3x + 18

Answer:

y = 3x + 18

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3 years ago
The Fibonacci sequence is defined by $F_1 = F_2 = 1$ and $F_{n + 2} = F_{n + 1} + F_n$. Find the remainder when $F_{1999}$ is di
zavuch27 [327]

Answer:

The remainder is 1

Step-by-step explanation:

Given the Fibonacci sequence

F_1 = F_2 = 1, and

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Let us write the first 20 numbers of the sequence in (mod 5). They are

F_1 = 1,

F_2 = 1,

F_3 = 2,

F_4 = 3,

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F_7 = 3,

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F_(12) = 4

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F_(16) = 2

F_(17) = 2

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F_(20) = 0

We have: 1, 1, 2, 3, 0, 3, 3, 1, 4, 0, 4, 4, 3, 2, 0, 2, 2, 4, 1, 0

Now, 1999 = 19(mod 20)

The 19th number in the sequence is 1.

So, the remainder is 1.

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Step-by-step explanation:

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