In how many ways can you select a committee of 3 students out of 10 students ?

A line passes through (2, 8) and (4, 12). Which equation best represents the line? y = 1 over 2 x 6 y = 2x 7 y = 2x 4 y = 1 over

nalin [4]

Equation of the line is a way to represent the a line in a equation or algebraic from which is the set of the line thorough witch the line passes.

Given information-

The point through which the line passes are (2, 8) and (4, 12).

To find the equation of the line, the standard form of the equation of the line must be obtained.

<h3>Equation of the line</h3>

Equation of the line is a way to represent the a line in a equation or algebraic from which is the set of the line thorough witch the line passes.

The standard form of the equation of the line can be given as,

$(y-y_1)=\dfrac{y_2-y_1}{x_2-x_1} (x-x_1)$

Where $(x_1,y_1)$ and $(x_2,y_2)$ are the points through which the line passes.

Thus the equation of the line which passes through the points (2, 8) and (4, 12) can be given as,

$(y-8) &=\dfrac{12-8}{4-2} (x-2)\\(y-8) &=\dfrac{4}{2} (x-2)\\2y-16 &=4x-8\\2y &=4x-8+16\\$

Divide by 2 both the side,

$y=2x-4$

Thus the equation of the line which passes through the points (2, 8) and (4, 12) is,

$y=2x-4$

Hence the option 3 is the correct option.

Learn more about the equation of the line here;

brainly.com/question/2564656

7 0

3 years ago

The common difference in an arithmetic sequence is –2 and the first term is 47. What is the 29th term?

BlackZzzverrR [31]

An arithmetic sequence is an ordered list of numbers where the next number is found by adding on to the last number (ex: 2,5,8,11... is a sequence where 3 is added on to find the next number).

The equation for an arithmetic sequence is
$A_{n}=A_{1}+(n-1)d$

$A_{n}$ is the "n-th" number in the sequence (ex: is the first term in the sequence)
d is the number you add (common difference) to find the next number
The first number in the sequence is 47 so $A_{1}=47$
d=-2 because the question gives you that

$A_{n}=A_{1}+(n-1)d$
 $A_{29}=47+(29-1)(-2)$
 $A_{29}=47+(28)(-2)$
 $A_{29}=47+-56$
 $A_{29}=-9$

The answer is A. -9.

 

The answer is C. 158

For the second one, it gives you $A_{1}=4$ and $A_{}=18$
You can use this to find d

 $A_{n}=A_{1}+(n-1)d$
 $A_{3}=4+(3-1)d$
 $18=4+(3-1)d$
 $18=4+2d$
 $14=2d$
 $7=d$

Now you can just solve using the equation normally.
 $A_{n}=A_{1}+(n-1)d$
 $A_{23}=4+(23-1)(7)$
 $A_{23}=4+(22)(7)$
 $A_{23}=4+154$
 $A_{23}=158$

The answer is C. 158

8 0

3 years ago

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How many solutions does 9 - 5x = 8 - 3x - 1 -2x have?

Burka [1]

Answer:

D) Zero solutions

Step-by-step explanation:

9 - 5x = 8 - 3x - 1 - 2x

9 - 5x = 7 - 5x

9 = 7

Zero solutions

7 0

3 years ago

How do I solve equations like this?

amid [387]

Can u state the problem it is very blurry thx

7 0

4 years ago

A beach ball rolls off a cliff and onto the beach. The height, in feet, of the beach ball can be modeled by the function h(t)=64

Karolina [17]

Answer:

rate of change = -32 feet/second

Step-by-step explanation:

h(t) = 64 – 16t2

t = time (seconds)

Look at the start of time where t = 0

h(t) = 64 - 16 * (0) * 2 = 64 feet

Then look at the specified time where t = 1.25 seconds

h(t) = 64 - 16 * (1.25sec) * 2 = 24 feet

rate of change = rate of change y / rate of change x

x = time, y = height

rate of change = (24 - 64) / (1.25 - 0) = -32 feet/second

4 0

3 years ago

Read 2 more answers