1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
blsea [12.9K]
3 years ago
11

Find the equation of the line that contains the points (2,-5) and (-3,10)

Mathematics
1 answer:
Natasha2012 [34]3 years ago
3 0
Let’s just use the first point you gave, (2, -5), since only one equation fits it. We can plug the x value, 2. Into each equation to find y, and see if it matches our point. If we plug 2 into A, y is equal to -5, which matches our point.
You might be interested in
A professor gives her 100 students an exam; scores are normally distributed. The section has an average exam score of 80 with a
frozen [14]

Answer:

6.18% of the class has an exam score of A- or higher.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 80, \sigma = 6.5

What percentage of the class has an exam score of A- or higher (defined as at least 90)?

This is 1 subtracted by the pvalue of Z when X = 90. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{90 - 80}{6.5}

Z = 1.54

Z = 1.54 has a pvalue of 0.9382

1 - 0.9382 = 0.0618

6.18% of the class has an exam score of A- or higher.

4 0
2 years ago
what if your making a 68 in a class and then you make a 50 on a test and its worth 50% of your grade what are you making then in
BlackZzzverrR [31]
You'd have a 59 in the class
4 0
3 years ago
Solve the expression 2(10)+2(x-4) show your work
Nataliya [291]

Answer:

12 + 2x

Step-by-step explanation:

<em>simplifying</em><em> </em><em>expression</em><em>:</em>

2(10) + 2(x-4)

2 × 10 = 20

2 × x = 2x

2 × -4 = -8

20 + 2x - 8

20 - 8 = 12

12 + 2x

<em>if you want to simplify it</em><em> </em><em>more</em><em>:</em>

(12/2) + (2x/2)

2(6 + x)

<em>if you want to solve for x:</em>

12 + 2x = 0

(12 - 12) + 2x = (0 - 12)

2x/2 = -12/2

x = -6

hope this helps you!

4 0
2 years ago
One number is three more than twice another, the sum of the numbers is 12. find the two numbers
Alenkasestr [34]
The numbers are:  "3" and "9" .
_______________________________________________________
Explanation:
_______________________________________________________
Let "x" represent one of the two (2) numbers.

Let "y" represent the other one of the two (2) numbers.

x = 2y + 3  ;

x + y = 12 .
__________________________
Method 1)
__________________________
x = 12 <span>− y ; 

Plug this into "x" for "2y + 3 = x" ;

</span>→ 2y + 3 = 12 <span>− y ; 
</span>
Add "y" to each side of the equation; & subtract "3" from each side of the equation ;

→ 2y + 3 + y − 3 = 12 − y + y <span>− 3 ;
</span>
to get:  3y = 9 ;

Divide each side of the equation by "3" ; 
to isolate "y" on one side of the equation; & to solve for "y" ;

             3y / 3 = 9 / 3 ;

               y = 3 .
____________________________
Now:  x = 12 − y ;  Plug in "3" for "y" ; to solve for "x" ;

    →   x = 12 − 3 = 9
____________________________
So;  x = 9,  y = 3 .
____________________________
Method 2) 
____________________________
When we have:
____________________________
x = 2y + 3  ;

x + y = 12 .
____________________________
 →  y = 12 − x ;
_____________________________
Substitute "(12−x)" for "y" in the equation:

" x = 2y + 3 " ;

→ x = 2(12 − x) + 3 ; 
_____________________________________
Note the "distributive property of multiplication" :
_____________________________________
  a(b + c) =  ab + ac ;

  a(b − c) = ab − ac ;
_____________________________________
As such:
_____________________________________
     →  2(12 − x) = 2(12) − 2(x) = 24 − 2x ; 
_____________________________________
So; rewrite:
_____________________________________
        x = 2(12 − x) + 3 ;
as:
_____________________________________
  →  x = 24 − 2x + 3 ;

  →  x = 27 − 2x ;

Add "2x" to each side of the equation:

 →  x + 2x = 27 − 2x + 2x ;

 →  3x = 27 ;

Divide each side of the equation by "3" ;
    to isolate "x" on one side of the equation; & to solve for "x" ;

      3x / 3 = 27 / 3 ;

        x = 9 .
___________________________
Note:  "y = 12 − x" ;  Substitute "9" for "x" ; to solve for "y" ;

→  y = 12 − 9 = 3 ;

→  y = 3 .
__________________________
So,  x = 9 ; and y = 3.
____________________________
The numbers are:  "3" and "9" .
_____________________________
To check our answers:
Let us plug these numbers into the original equations;
   to see if the equations hold true ; (i.e. when, "x = 9" ; and "y = 3"
_____________________________
  → x + y = 12 ; 

   → 9 + 3 =? 12 ?  Yes!
_____________________________
 
   → x = 2y + 3 ;

   → 9 =? 2(3) + 3 ?? ; 

   → 9 =?  6 + 3 ?  Yes!!
_____________________________

3 0
3 years ago
Identify the hypothesis and conclusion of each conditional statement. Then write each sentence in if-then form
Otrada [13]

Answer:

If you went to the party, then you would have received a gift.

Step-by-step explanation:

?

3 0
3 years ago
Other questions:
  • X+5/12=5/8 solve for x
    6·2 answers
  • Qasim and Alejandra both earn $15 an hour at their job. This week Alejandra worked three hours more than Qasim. If h represents
    15·1 answer
  • Jeremy is cutting a board into pieces that are 1 2/3 feet long . The board is 14 1/4 feet long . How many 1 2/3 -feet long piece
    8·2 answers
  • What is the unit rate in miles per day in simplest form?
    14·1 answer
  • Consider the following equation. x+4/x-6 +3/2x+5=7. What are the constraints on x?
    9·1 answer
  • PLZ ANSWER QUICK IT WILL HELP A LOT!
    6·2 answers
  • How many cm are in 6.9km<br><br>6.9cm<br><br>690,000cm<br><br>6,900cm​
    6·1 answer
  • I need the answer i have spent forever on this.
    8·2 answers
  • Agh. i'm so silly...please can anyone help me? i feel so lost.
    10·1 answer
  • Another four sotuation<br> Please answer all the questions<br> I give 35 points
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!