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
erastovalidia [21]
2 years ago
8

HELP A line passes through two points with coordinates (6,-8) and (-3,7).

Mathematics
1 answer:
FromTheMoon [43]2 years ago
4 0

Answer:

<em>3y+5x=6</em>

Step-by-step explanation:

<u>Equation of the Line</u>

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

The line passes through the points (6,-8) and (-3,7), thus:

\displaystyle y+8=\frac{7+8}{-3-6}(x-6)

\displaystyle y+8=\frac{15}{-9}(x-6)

Simplifying:

\displaystyle y+8=-\frac{5}{3}(x-6)

Multiplying by 3:

3(y+8)=-5(x-6)

3y+24=-5x+30

Moving all the variables to the left side:

3y + 5x = 30 - 24

3y + 5x = 6

You might be interested in
John Calipari, head basketball coach for the 2012 national champion University of Kentucky Wildcats, is the highest paid coach i
MrRissso [65]

Answer:

A) sample mean = $1.36 million

B) standard deviation = $0.9189 million

C) confidence interval = ($1.93 million , $0.79 million)

*since the sample size is very small, the confidence interval is not valid.

Step-by-step explanation:

samples:

  1. $2.7 million
  2. $2.4 million
  3. $2.2 million
  4. $2 million
  5. $1.5 million
  6. $1.5 million
  7. $0.5 million
  8. $0.5 million
  9. $0.2 million
  10. $0.1 million

sample mean = $1.36 million

the standard deviation:

  • $2.7 million - $1.36 million = 1.34² = 1.7956
  • $2.4 million - $1.36 million = 1.04² = 1.0816
  • $2.2 million - $1.36 million = 0.84² = 0.7056
  • $2 million - $1.36 million = 0.64² = 0.4096
  • $1.5 million - $1.36 million = 0.14² = 0.0196
  • $1.5 million - $1.36 million = 0.14² = 0.0196
  • $0.5 million - $1.36 million = -0.86² = 0.7396
  • $0.5 million - $1.36 million = -0.86² = 0.7396
  • $0.2 million - $1.36 million = -1.16² = 1.3456
  • $0.1 million - $1.36 million = -1.26² = 1.5876
  • total $8.444 million / 10 = $0.8444 million

standard deviation = √0.8444 = 0.9189

95% confidence interval = mean +/- 1.96 standard deviations/√n:

$1.36 million + [(1.96 x $0.9189 million)/√10] = $1.36 million + $0.57 million = $1.93 million

$1.36 million - $0.57 million = $0.79 million

7 0
2 years ago
Matt gets paid an hourly rate of $12.50 for the first 40 hours he works in a week. After 40 hours , Matt gets paid at an overtim
lukranit [14]

12.50 x 40 = 500; this is his first week pay from $12.50 an hour for 40 hours  

(15 x 55) + 100 = 925; this is the second pay from $15 an hour for 55 hours and an additional $100


Hope this helps! (If not correct me if its wrong xd)

5 0
3 years ago
I need help with geometry please!
Naddika [18.5K]

Answer:

The answer is 15

Step-by-step explanation:

You just have to multiply angle BC times angle AC to have the answer because angle AB is verticle to angle BD.

3 0
1 year ago
7(5 - 6x) - 4x =-8 + 35 show work
Sever21 [200]
This is the work and the answer is 4/23 or (in decimal form) 0.17391304

5 0
3 years ago
PLZZZZZZZZZZZZZZZZ HELP ME i begging YOUUUUU !!!!!!!!!!!!!!!!!!!!!!!!!!!
pantera1 [17]

Answer:

-11/20

Step-by-step explanation:

    2      8   1

 (0-— ÷ (0-—))+—

    3      9   5

           8

Simplify   —

           8/9

2         8     1

 (0 -  — ÷ (0 -  —)) + —

       3         9     5

Simplify   —

           2/3

2   -8     1

 (0 -  — ÷ ——) +  —

       3   9      5

2      -8

Divide  —  by  ——

        3      9

To divide fractions, write the divison as multiplication by the reciprocal of the divisor :

2     -8       2      9

—  ÷  ——   =   —  •  ——

3     9        3     -8

(0--3/4)+1/5

Least Common Multiple:

     20

Left_M = L.C.M / L_Deno = 5

Right_M = L.C.M / R_Deno = 4

      3 • 5 + 4                 -11

—————————  =  ———

      20                            20

-11/20

3 0
3 years ago
Read 2 more answers
Other questions:
  • 2nd question to the 1st:
    11·1 answer
  • Three runners — Andy, Blaise, and Susie — were competing in a 100-meter race. When Andy reached the finish line, Blaise was 10 m
    11·2 answers
  • Four less than three times a number is three more than two times the<br> number. What is the number?
    8·1 answer
  • Which graph could represent a constant blalance in a bank account?
    12·2 answers
  • The expression 11x2 - 12x - 10 has ___ terms and a constant of ___.
    11·1 answer
  • A storage unit is cubical in shape. Each
    10·1 answer
  • Who can answer this ??
    13·2 answers
  • Of the balls in Brian's garage, 1/3 are basketballs and 1/15 are soccer balls. 10 points
    6·1 answer
  • Find the least common multiple (LCM) for the pair of<br> numbers 6 and 18.
    10·1 answer
  • If f(x) = 7x²-3 and g(x) = 5x, which expression is equivalent to [go f](2)?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!