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Lostsunrise [7]
3 years ago
7

Find the slope of a line passing through these ordered pairs. Show your work. (2, 4) (15, 9)

Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
3 0

Answer:

The slope of line passing through points (2 , 4) and (15 , 9) is  \dfrac{5}{13}

Step-by-step explanation:

Given as :

A line is passing through the points

i.e x_1 , y_1 = 2 , 4

And  x_2 , y_2 = 15 , 9

Let The slope of line = m

<u />

<u>Now, Slope of line is determine as</u>

slope = \dfrac{y_2-y_1}{x_2-x_1}

Or, m = \dfrac{y_2-y_1}{x_2-x_1}

Or, m = \dfrac{9 - 4}{15 - 2}

Or, m = \dfrac{5}{13}

So, The slope of line = m = \dfrac{5}{13}

Hence, The slope of line passing through points (2 , 4) and (15 , 9) is  \dfrac{5}{13}  Answer

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6 0
3 years ago
Show work please. thank you
Eduardwww [97]
Problem 17, part A

i = simple interest = 900 dolars
p = principle = 1500 dollars
r = interest rate = 0.03 (decimal form of 3%)
t = time in years = unknown (leave it as t for now)

Plug in those values mentioned above and solve for t.

Simple interest formula
i = p*r*t
900 = 1500*0.03*t
900 = 45*t
900/45 = 45*t/45
20 = t
t = 20

Answer: 20 years

=============================================

Problem 17, part B

p = 1500
r = 0.03
t = 5 years

A = p+p*r*t
A = 1500+1500*0.03*5
A = 1500+225
A = 1725

Answer: 1725 dollars

=============================================

Problem 17, part C

Factor out the GCF p, then divide both sides by 1+rt

A = p+p*r*t
A = p*1+p*r*t
A = p*(1+rt)
A/(1+rt) = p*(1+rt)/(1+rt)
A/(1+rt) = p
p = A/(1+rt)

Answer: p = A/(1+rt)

The right side is the fraction of A all over the quantity (1+rt) which may be more readable if written like so 
p = \frac{A}{1+rt}
If you're going to write it in the way p = A/(1+rt) then don't forget to use parenthesis. 

4 0
3 years ago
\displaystyle\lim_{ x \rightarrow 0 } \left( \dfrac{ \sqrt[ m ]{ 1+αx \phantom{\tiny{!}}} \times \sqrt[ n ]{ 1+βx \phantom{\tiny
kramer

Answer:

What are you trying to ask.

Step-by-step explanation:

Please Write in a understandable  manner.

Thanks from India.

8 0
2 years ago
An amusement park studied methods for decreasing the waiting time (minutes) for rides by loading and unloading riders more effic
Digiron [165]

Answer:

see explaination

Step-by-step explanation:

The p-value for Factor A is greater than 0.1

What is your conclusion with respect to Factor A?

Factor A is not significant.

The p-value for Factor B is greater than 0.1

What is your conclusion with respect to Factor B?

Factor B is not significant.

The p-value for the interaction of factors A and B is greater than 0.1

What is your conclusion with respect to the interaction of Factors A and B?

The interaction of Factors A and B is not significant.

What is your recommendation to the amusement park?

Since method is not a significant factor, use either loading and unloading method.

4 0
3 years ago
When Albertina opened her law office, she bought $18,000 worth of law books and $7,300 worth of furniture. She paid $1,400 down
fredd [130]
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