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ivann1987 [24]
1 year ago
9

what is the equation in point-slope form of the line passing through (0, 5) and (−2, 11)? (1 point) y − 5

Mathematics
1 answer:
makkiz [27]1 year ago
5 0

According to the question, the line is through the points (0,5) and (-2,11)

To calculate the slope using standard formula that is :

m = \frac{(y(2)-y(1))}{(x(2)-x(1))} = \frac{(11-5)}{(-2-0)} =\frac{6}{-2} = -3

Now the slope equation will be: m(x(2)-x(1)) = (y(2)-y(1))

y-5 =(-3)(x-0) = y = -3(x)+5

The slope-intercept form is:y = -3x+5

What is the equation of the line?

To represent the set of points in an algebraic form is known as the equation of line. The set of points represent lines in the coordinate system. The parameters can be calculated and those parameters are slope and y-intercept.

To learn more about the equation of the line from the given link:

<u>brainly.com/question/14037984</u>

#SPJ4

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Linear equations: w-3=15
motikmotik

Answer:

w = 18

Step-by-step explanation:

w-3=15

Add 3 to each side

w-3+3=15+3

w = 18

6 0
3 years ago
Read 2 more answers
What is the solution to the equation below? riund your answer to two decimal places. (24) log(3x) = 60
Amanda [17]

The answer is:  " x = 105.41 " . 

_____________________________________________

Explanation:

_____________________________________________

Given:   " 24 log (3x) = 60 " ;  Solve for "x" .

The default is to assume "base 10" for the "logarithm". 

_____________________________________________

Start by dividing each side of the equation by "24" ; 

       →   [ 24 log(3x) ] / 24  = 60 / 24 ; 

to get:  

_____________________________________________

 log (3x)  = 2.5 ;

_____________________________________________

Rewrite as:  log₁₀ (3x) = 2.5 ;  

_____________________________________________

Using the property of logarithms:

⇔    10⁽²·⁵⁾  =   3x  ;  

↔   3x = 10⁽²·⁵⁾   ;

         →  10^ (2.5) = 316.2277660168379332 ;

     →  3x = 316.227766016837933 ;  

Divide each side of the equation by "3" ;

  to isolate "x" on one side of the equation;

      and to solve for "x" ;

    →  3x / 3 =  316.2277660168379332 / 3  ;

to get:

    →   x = 105.4092553389459777333 ;

    →  round to 2 (two) decimal places;

_____________________________________________

         →   " x = 105.41 " .

_____________________________________________

 Hope this helps!

    Best wishes to you!

_____________________________________________

8 0
3 years ago
Giselle's youth club sells cookies to fund their trips and activities. Each year they need to earn $1,247 from selling cookies.
algol [13]

Price per box, P = $1.45 .

Money left, M = $1247 - $472.70 = $774.3  .

Let, number of boxes are x.

So,

x = \dfrac{774.3}{1.45}\\\\x = 534\ boxes

Therefore, they have to sell 534 more boxes.

Hence, this is the required solution.

6 0
3 years ago
42 /48 in simplest form
zloy xaker [14]

<span>First we need to find the GCF (greatest common factor)</span>

<span>Factors of 42 are:
1, 2, 3, 6, 7, 14, 21, 42</span>

<span>Factors of 48 are:
1, 2, 3, 4, 6, 8, 12, 16, 24, 48</span>

<span>GCF is 6</span>

<span>To simplify you divide numerator and denominator into the GCF</span>

<span>42 ÷ 6 = 7</span>

<span>48 ÷ 6 = 8</span>

<span>42/48 = 7/8</span>

<span>Hope this helps. :)
</span>

6 0
3 years ago
A monkey is swinging from a tree. On the first swing, she passes through an arc whose length is 24 m 24 m24, start text, space,
Alchen [17]

Answer:

24(\frac{1}{2})^{n-1}

Step-by-step explanation:

<u>Complete Question:</u>

A monkey is swinging from a tree. On the first swing, she passes through an arc whose length is 24 m. With each swing, she travels along an arc that is half as long as the arc of the previous swing. Which expression gives the total length the monkey swings in her first n swings?

<u>Solution:</u>

First Swing:

24 m

Second Swing:

Half of first, so

24(1/2)

Third Swing:

Half of second, so:

24(1/2)(1/2)

Fourth Swing:

24(1/2)(1/2)(1/2)

So we see the general formula as:

24(\frac{1}{2})^{n-1}

<u>Note:</u> n -1 because (1/2) plays a role from second swing, which is n - 1

where n is the number of swings

7 0
3 years ago
Read 2 more answers
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