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3 years ago

Write an equation of the line that passes through a pair of points (5, -2) , (4,5)

Mathematics

1 answer:

sergeinik [125]3 years ago

3 0

Answer:

y = -7x + 33

Step-by-step explanation:

<u>Use the Point Slope Form: (y - y1) = m(x - x1)</u>

<u />

<u>Step 1: Find the Slope</u>

Slope = $\frac{y2 - y1}{x2 - x1}$

Slope = $\frac{5 - (-2)}{4 - 5}$

Slope = $\frac{5 + 2}{-1}$

Slope = $\frac{7}{-1}$

Slope = -7

<u>Step 2: Plug into the point slope form</u>

(y - 5) = -7(x - 4)

y - 5 + 5 = -7x + 28 + 5

y = -7x + 33

Answer: y = -7x + 33

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Determine the numerical value of the following expression without the use of a calculator:

pashok25 [27]

The numerical value if the expression is 0

The expression to be solved is

$log ( log ( 3 )- log ( 2 ) - (\frac{\sqrt{3}-2sin ( \frac{pi}{3} ) }{pi^{3} +1 } +1)) - log ( 2 ) log ( 3) } + ( -1 )^{100}$

<h3>How to solve the given expression</h3>

sin ( pi/3 ) = $\frac{\sqrt{3} }{2}$

2sin ( pi/3 ) = 2 * $\frac{\sqrt{3} }{2}$ = $\sqrt{3}$

$log ( log ( 3 )(log ( 2 ) (\frac{\sqrt{3}-2sin ( \frac{pi}{3} ) }{pi^{3} +1 } +1)) - log ( 2 ) log ( 3) } + ( -1 )^{100})\\log ( log ( 3 ) log ( 2 ) (\frac{\sqrt{3}- \sqrt{3} }{pi^{3} +1 } +1)) - log ( 2 ) log ( 3) } + ( -1 )^{100})\\log ( log ( 3 ) log ( 2 ) (\frac{0 }{pi^{3} +1 } +1)) - log ( 2 ) log ( 3) } + ( -1 )^{100})$

$log ( log ( 3 ) log ( 2 ) (0 +1 ) - log ( 2 ) log ( 3) } + ( -1 )^{100})\\log ( log ( 3 ) log ( 2 ) - log ( 2 ) log ( 3) + ( -1 )^{100})\\log (0 + ( -1 )^{100})$

since 100 is even

$( -1 )^{100} = 1$

therefore

$log (0 + ( -1 )^{100})\\log (0 + 1)\\log 1\\0$

Read more on logarithm here: brainly.com/question/247340

#SPJ1

The complete question is attached

6 0

2 years ago

Read 2 more answers

(3 points) Determine whether each of these functions f : {a, b, c, d} → {a, b, c, d} is one-to-one and whether each of these fun

finlep [7]

Answer:

Step-by-step explanation:

Recall the following. Given a function f we say that

f is one to one if for x,y in the domain of f and f(x)=f(y) then x=y.

This means that there are no different elements in the domain of the function that are linked to the same value.

f is onto if for every y in the codomain of f, then there is an element x in the domain of f such that f(x) = y. That is, given an element y in the codomain of f, there exists and element in the domain that is linked to y.

f(a) =b, f(b)=a, f(c) = c, f(d) = d. Note that this function links each element in {a,b,c,d} to different elements in {a,b,c,d}, so it is a one to one function. Since for every element x in {a,b,c,d} there is an element y in {a,b,c,d} such that f(y) = x, then this function is also onto.

f(a)=b, f(b) = b, f(c) = d, f(d) = c. Note that the elements a,b are linked both to b, so this function fails to be one-to-one. Also, note that the element a has no element x in {a,b,c,d} such that f(x) = a, so this function fails to be onto.

f(a) = d, f(b) = b, f(c) = c, f(d) = d.

As in b), since a and d are linked to d, then this function is not one to one. Also, since the element a has no element x in {a,b,c,d} such that f(x) = a, then it also fails to be onto.

8 0

3 years ago

I really need help this is a matter or passing or failing and I am counting on you for help!

coldgirl [10]

Answer:

Step-by-step explanation:

In order for something to have infinite solutions, both sides need to be equal to each other.

Example:

3x + 7y = 7y + 3x

That has infinite solutions

3x + 7y = 7x + 3y

That is not equal to each other because the variables are different.

Hope I helped :)

6 0

3 years ago

A total of 428 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student t

aalyn [17]

321 adult tickets were sold use the formula to solve
108 student tickets were sold

6 0

3 years ago

What is the constant rate of change from the graph?

Harlamova29_29 [7]

Answer:

$5$

Step-by-step explanation:

When looking for constant rate, you have to see what is the repeating rate or coordinate in order to solve constant rate.

Let us take two coordinate points,

( 1 , 5 )
( 3 , 15 )

If we were to look for constant rate, we have to see the similarity (in this case the multiplication of the two numbers) between the two points.

What can they be?

They both have x multiplying by 5 to get y!

1 * 5 = 5

3 * 5 = 15

The same goes with all other points on the graph, leaving you with five as the constant rate.

3 0

3 years ago