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3 years ago

What is the explicit rule for the sequence? 15.5, 13, 10.5, 8, 5.5, 3, ...

Mathematics

2 answers:

Igoryamba3 years ago

6 0

It is b i hope this helps

RUDIKE [14]3 years ago

6 0

The answer is D. It starts at 15.5 and then each number it subtracts 2.5

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Find the slope of the line that is (a) parallel and (b) perpendicular to the line through the pair of points.

ddd [48]

Answer:

a) The slope of the line is parallel to the another line m=4

b) The slope of the line is perpendicular to the another line m= $\frac{-1}{4}$

Step-by-step explanation:

Step1:-

Slope of a line :-

If θ is the inclination of a line 'l' then tanθ is called the slope or gradient of the line 'l'.The slope of a line is denoted by m=tanθ

The slope of a line given two points m= $\frac{y_{2}-y_{1} }{x_{2} -x_{1} }$

Parallel lines:-

Two non-vertical lines are parallel if and only if their slopes are parallel

Perpendicular lines:-

Two non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

$m_{2} = \frac{-1}{m_{1} } \\$

Step 2:-

a)The slope of a line when given two points (-1,-4) and (0,0)

$m = \frac{0-(-4)}{0-(-1)} =4$

Two non-vertical lines are parallel if and only if their slopes are parallel

$m_{1} = m_{2}$

Therefore the slope of the line that is parallel to the another line

$m_{1} =m_{2} =4$

Step 3:-

b) Two non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

$m_{2} = \frac{-1}{m_{1} } \\$

$m_{2} =\frac{-1}{4}$

Therefore the slope of the line is perpendicular to the another line is

$m=\frac{-1}{4}$

3 0

3 years ago

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Mike had thirty seven dollars to spend on eight books. After buying them

lubasha [3.4K]

Answer:4.265

Step-by-step explanation:

Can it be decimal?

3 0

3 years ago

Fourteen students got a B on the last quiz. This represents 2/5 of the class. How many students are in the class?

Elena-2011 [213]

3/5 of the class is left

5 0

3 years ago

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The percent decrease of an item that dropped in price from $50 to $43 is _____.

Stels [109]

Hopefully I’m correct but I think it is 7% because 50 -43 equals 7%

4 0

3 years ago

If total revenue is 3000,cost of goods is $1500, and a total selling expensesis $500; what is the profit for business?

tekilochka [14]

This sounds like simple addition & subtraction.
Total revenue = $3,000
Cost of goods = $1,500
Total expenses = $500
Profit = x
x = 3,000 - 1,500 + 500
x = 3,000 - 2000
x = 1,000
Profit for the business is $1,000

6 0

3 years ago