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
malfutka [58]
3 years ago
12

Write the equation of the line that is perpendicular to 3x+2y=8 and goes through the point (-5,2)

Mathematics
1 answer:
kifflom [539]3 years ago
6 0

Answer:

\displaystyle y=\frac{2}{3}(x+5)+2

Step-by-step explanation:

We need to find the equation of the line perpendicular to the line 3x+2y=8 and passes through (-5,2).

The given line can be expressed as:

\displaystyle y=-\frac{3}{2}x+4

We can see the slope of this line is m1=-3/2.

The slopes of two perpendicular lines, say m1 and m2, meet the condition:

m_1.m_2=-1

Solving for m2:

\displaystyle m_2=-\frac{1}{m_1}

\displaystyle m_2=-\frac{1}{-\frac{3}{2}}

\displaystyle m_2=\frac{2}{3}

Now we know the slope of the new line, we use the slope-point form of the line:

y=m(x-h)+k

Where m is the slope and (h,k) is the point. Using the provided point (-5,2):

\boxed{\displaystyle y=\frac{2}{3}(x+5)+2}

You might be interested in
(13÷6)×8+6. question 2. 10×3+(7+8) please show steps Thank you
AysviL [449]
That is how u would do it

3 0
3 years ago
Read 2 more answers
A committee of 15 members is voting on a proposal. Each member casts a yea or nay vote. On a random voting basis, what is the pr
Igoryamba

Answer:

0.006% probability that the final vote count is unanimous.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they vote yes, or they vote no. The probability of a person voting yes or no is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Random voting:

So 50% of voting yes, 50% no, so p = 0.5

15 members:

This means that n = 15

What is the probability that the final vote count is unanimous?

Either all vote no(P(X = 0)) or all vote yes(P(X = 15)). So

p = P(X = 0) + P(X = 15)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{15,0}.(0.5)^{0}.(0.5)^{15} = 0.00003

P(X = 15) = C_{15,15}.(0.5)^{15}.(0.5)^{0} = 0.00003

So

p = P(X = 0) + P(X = 15) = 0.00003 + 0.00003 = 0.00006

0.006% probability that the final vote count is unanimous.

7 0
2 years ago
Translate the following statement to an inequality.
Irina-Kira [14]

Answer:

Step-by-step explanation:

a number no less then 15

let the number be x

no less then 15....means it has to be 15 or more

x > = 15 (thats greater then or equal to)

3 0
3 years ago
QUIZ
yanalaym [24]
Y = x + 2

It starts out at (0,2) which means it needs to be up 2 from the parent graph (y = x). Then using the slope equation, the slope is 1
7 0
3 years ago
Use distributive property to create an equivalent expression to 7x + 56
OverLord2011 [107]
You will have to factor this equation. This means you have to find the lowest number that goes into both 7 and 56 (in other terms, gcf(7, 56)). You will put that as the leading coefficient in this factored term. gcf(7,56) = 7 so 7 will be leading coefficient. It will look somewhat like this 7(a + b) (a and b are just random variables representing what will go inside the parentheses). a and b can be determined by dividing each term in this expression by 7. Hence, 
7x + 56 = 7(x + 8).This can obviously also be proven by the distributive property.
7 0
3 years ago
Read 2 more answers
Other questions:
  • In the figure, angle G measures 117°, angle C measures 22°, and angle E measures 40°.
    7·1 answer
  • Graph y= 0.3 to the x power
    5·2 answers
  • You buy a 1:1000 scale model of the Statue of Liberty during a trip to New York City. The height of the model is 9.3 centimeters
    8·1 answer
  • If I subtract the square of one integer from the square of another, the difference could be
    7·1 answer
  • Multiply. Write your answer in simplest form.<br><br> 7 x 3/4
    15·1 answer
  • kayla has a tshirt store. She sold three times as many white tshirts as blue tshirts. she sold a total of 48 tshirts. How many w
    8·2 answers
  • 15 Points and I mark Brainliest.
    12·1 answer
  • Five and one third minus three and five sixths
    12·2 answers
  • $500 principal earning 4% compounded quarterly, after 6 years?
    10·1 answer
  • Choose the correct description of the graph of the inequality x-3 is less than or equal to 5.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!