What are the next two terms in the sequence 16, 13, 10,_,_

Consider the following equation

ser-zykov [4K]

Answer:

The perpendicular line is:

y = 1/3 x + 2/3

Step-by-step explanation:

The given equation can be reduced to its slope-intercept form as shown below:

3x + 9y = 8y - 2

subtract 8 y from both sides

3 x + y = -2

subtract 3 x from both sides

y = - 3 x -2

therefore we know that the slope of this line is -3, and then, a perpendicular line to it must have slope given by the "opposite of the reciprocal" of this slope. That is, the slope of any perpendicular line to this one must be: 1/3

We use this slope to find the equation of the line passing through the point (13. 5)

y = 1/3 x + b

passing through (13, 5) means:

5 = 1/3 (13) + b

therefore, we can find b from the above equation

b = 5 - 13/3 = 15/3 - 13/3 = 2/3

Then the equation of this perpendicular line is:

y = 1/3 x + 2/3

6 0

2 years ago

2 2/5 multiplied by 2 multiplied by 3 1/5

goldfiish [28.3K]

Answer:

15 9/25

Step-by-step explanation:

1 Convert 2\frac{2}{5}2

5

2

to improper fraction. Use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

c

b

=

c

ac+b

.

\frac{2\times 5+2}{5}\times 2\times 3\frac{1}{5}

5

2×5+2

×2×3

5

1

2 Simplify 2\times 52×5 to 1010.

\frac{10+2}{5}\times 2\times 3\frac{1}{5}

5

10+2

×2×3

5

1

3 Simplify 10+210+2 to 1212.

\frac{12}{5}\times 2\times 3\frac{1}{5}

5

12

×2×3

5

1

4 Convert 3\frac{1}{5}3

5

1

to improper fraction. Use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

c

b

=

c

ac+b

.

\frac{12}{5}\times 2\times \frac{3\times 5+1}{5}

5

12

×2×

5

3×5+1

5 Simplify 3\times 53×5 to 1515.

\frac{12}{5}\times 2\times \frac{15+1}{5}

5

12

×2×

5

15+1

6 Simplify 15+115+1 to 1616.

\frac{12}{5}\times 2\times \frac{16}{5}

5

12

×2×

5

16

7 Use this rule: \frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}

b

a

×

d

c

=

bd

ac

.

\frac{12\times 2\times 16}{5\times 5}

5×5

12×2×16

8 Simplify 12\times 212×2 to 2424.

\frac{24\times 16}{5\times 5}

5×5

24×16

9 Simplify 24\times 1624×16 to 384384.

\frac{384}{5\times 5}

5×5

384

10 Simplify 5\times 55×5 to 2525.

\frac{384}{25}

25

384

11 Convert to mixed fraction.

15\frac{9}{25}

15 9/25

8 0

2 years ago

Read 2 more answers

Divide 6 feet 6 inches by 5

tigry1 [53]

6 ft 6 in....
1 ft = 12 inches, so 6 ft = (12 * 6) = 72 inches...+ the other 6 inches = 78 inches

78 / 5 = 15.6 inches

5 0

2 years ago

Can someone pleaseeee help if you’re correct I’ll give u brainlist

Ne4ueva [31]

Answer:

Just about 3.6

Step-by-step explanation:

a² + b² = c²

√(a² + b²) = c

√(2² + 3²) = c

√(4 + 9) = c

√(13) = c

3.605551275 = c

c ≈ 3.6

3 0

2 years ago

Read 2 more answers

What is the actual length of the living space if the length of the scale drawing is 16. 8 centimeters? Enter your answer in the

yaroslaw [1]

To solve the problem we must know about the Ratio.

<h2>What is Ratio?</h2>

A ratio shows us the number of times a number contains another number.

The length of the living space, in reality, is 21 meters.

Given to us

The scale is given as 2 centimeters equals 2.5 meters.

To find

the actual length of the living space if the length of the scale drawing is 16. 8 centimeters

<h3>Scale ratio</h3>

As it is given that 2 cm on the scale drawing is equal to 2.5 meters in real, therefore, the ratio can be written as

$\dfrac{\text{Length of the scale drawing}}{\text{Length in reality}} = \dfrac{2\ cm}{2.5\ meters}$

<h3>Length of the living space</h3>

Using the same scale ratio,

$\dfrac{\text{Length of the living space in scale drawing}}{\text{Length of the living space in reality}} = \dfrac{2\ cm}{2.5\ meters}$

$\dfrac{16.8}{x} = \dfrac{2\ cm}{2.5\ meters}\\\\x=\dfrac{16.8 \times 2.5}{2} = 21\ meters$

Hence, the length of the living space, in reality, is 21 meters.

Learn more about Ratio:

brainly.com/question/1504221

7 0

2 years ago

What are the next two terms in the sequence 16, 13, 10,_,__?