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
damaskus [11]
3 years ago
9

he equation of a line is y=2/3 x + 5. What is an equation of the line that is perpendicular to the given line and that passes th

rough the point (4,2)?
Mathematics
1 answer:
Levart [38]3 years ago
5 0
2/3 × m2 = - 1
m2 = - 3/2

2 = - 3/2(4) + c
4 = - 12 + 2c
2c = 16
c = 8
y = - 3/2x + 8
You might be interested in
Let n be equal to 156% of 70. Which of the following proportions is true?
aniked [119]
Well all u have to do is 156%*70= 109.2 so N= 109.2
6 0
3 years ago
Factorise x cube -2x square -5x plus 6
zepelin [54]

Answer:   {(x + 2), (x - 1), (x - 3)}

Step-by-step explanation:

Presented symbolically, we have:

x^3 - 2x^2 - 5x + 6

Synthetic division is very useful for determining roots of polynomials.  Once we have roots, we can easily write the corresponding factors.  

Write out possible factors of 6:  {±1, ±2, ±3, ±6}

Let's determine whether or not -2 is a root.  Set up synthetic division as follows:

-2   /   1   -2   -5   6

              -2     8   -6

     -----------------------

        1     -4      3    0

since the remainder is zero, we know for sure that -2 is a root and (x + 2) is a factor of the given polynomial.  The coefficients of the product of the remaining two factors are {1, -4, 3}.  This trinomial factors easily into {(x -1), (x - 3)}.

Thus, the three factors of the given polynomial are {(x + 2), (x - 1), (x - 3)}

7 0
3 years ago
3. From the table below, find Prof. Xin expected value of lateness. (5 points) Lateness P(Lateness) On Time 4/5 1 Hour Late 1/10
wariber [46]

Answer:

The expected value of lateness \frac{7}{20} hours.

Step-by-step explanation:

The probability distribution of lateness is as follows:

  Lateness             P (Lateness)

  On Time                     4/5

1 Hour Late                  1/10

2 Hours Late                1/20

3 Hours Late                1/20​

The formula of expected value of a random variable is:

E(X)=\sum x\cdot P(X=x)

Compute the expected value of lateness as follows:

E(X)=\sum x\cdot P(X=x)

         =(0\times \frac{4}{5})+(1\times \frac{1}{10})+(2\times \frac{1}{20})+(3\times \frac{1}{20})\\\\=0+\frac{1}{10}+\frac{1}{10}+\frac{3}{20}\\\\=\frac{2+2+3}{20}\\\\=\frac{7}{20}

Thus, the expected value of lateness \frac{7}{20} hours.

8 0
3 years ago
What is the domain and range of the function shown in the graph?
love history [14]
The domain is the set of all x values which are defined (appear on the graph) of the function. In this system, all values from negative infinity to 0, but not including zero, and all values above zero, through positive infinity, are valid. We can write this in set builder notation as x: (-∞,0)∪(0,∞).

The range is the set of all y values which are defined in the function. Like the domain, the range of this function contains all value from negative infinity to positive infinity except zero. Same notation: y: : (-∞,0)∪(0,∞).


3 0
3 years ago
Among all positive numbers , whose sum is 12, find those for which the product of the two numbers and their difference is larges
Karolina [17]

Answer: The numbers whose sum equals 12 and whose product and difference is largest is 6 and 6

Step-by-step explanation:

numbers whose sum is 12

Sum =12         Product       Difference               Product- Difference  

11 +1                   11                    10                                1

10 +2                20                   8                                 12

9 +3                  27                   6                                 21

 8 +4                 32                   4                                 28

7  +5                  35                   2                                33

6+6                    36                   0                                36

The numbers whose sum equals 12 and whose product and difference is largest is 6 and 6

4 0
3 years ago
Other questions:
  • Jen spent $35 at the mall and now has $76 left. How much money did Jen have before she went shopping? Construct an equation to r
    5·2 answers
  • Question 7(Multiple Choice Worth 75 points) Which of the following is true of all minerals? Made of many different elements Come
    14·1 answer
  • Please help ASAP need as much help possible.
    14·1 answer
  • Please help and explain why!
    11·1 answer
  • 20 plates in 5 stacks = how many plates per stack
    14·2 answers
  • Answer fast please! I need an answer before 9:00!
    11·2 answers
  • 100 point giveaway<br> answer anything idc<br> NO LINKS
    5·2 answers
  • Shaq painted 600 portraits in 8 hours at that rate how many portraits would he paint in 4 minutes?
    8·1 answer
  • A popular magazine tests cars and trucks for mileage on the road and around the city. The magazine reports that the most common
    5·1 answer
  • Kady and Scott both invest £800.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!