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
zhannawk [14.2K]
1 year ago
6

The slope-intercept form given (6,-5) & perpendicular to -5x - 7y = -17.

Mathematics
1 answer:
tatuchka [14]1 year ago
8 0

Answer:

y=\dfrac{7}{5}x-\dfrac{67}{5}

Step-by-step explanation:

<u>Slope-intercept form of a linear equation:</u>

 y=mx+b

where:

  • m is the slope.
  • b is the y-intercept.

<u>Rearrange</u> the given equation so that it is in <u>slope-intercept form</u>:

\implies -5x-7y=-17

\implies -7y=5x-17

\implies y=-\dfrac{5}{7}x+\dfrac{17}{7}

Therefore, the slope of the given equation is -⁵/₇.

If two lines are <u>perpendicular</u> to each other (at right angles), the <u>product of their slopes</u> will be -1.  Therefore, their slopes will be negative reciprocals of each other.

Therefore, the slope of the line perpendicular to the given equation is:

\sf m=\dfrac{7}{5}

<u>Substitute</u> the found <u>slope</u> and the <u>given point</u> (6, -5) into the <u>slope-intercept formula</u> and solve for b:

\implies -5=\dfrac{7}{5}(6)+b

\implies -5=\dfrac{42}{5}+b

\implies b=-\dfrac{67}{5}

<u>Substitute</u> the found slope and the found value of b into the <u>slope-intercept formula</u> to create the equation for the <u>perpendicular line</u>:

\implies y=\dfrac{7}{5}x-\dfrac{67}{5}

Learn more about slope-intercept form here:

brainly.com/question/27317293

brainly.com/question/27926846

You might be interested in
Which of these is a linear equation in<br> standard form for the graph shown?
vampirchik [111]

Answer:

B

Step-by-step explanation:

Because the slope is a positive slope (goes through the positive quandrants on the graph), we can eliminate answer choices c. Now, if we solve a, b, and d and we can see if the slope + y-intercept matches the graph.

For A.) (solve for y to get a y=mx + b equation)

3x-2y=4

-2y= -3x + 4

<u>y= 3/2 -2</u>

For B.)

3x-2y= -4

-2y= -4-3x

<u>y= 3/2 + 2</u>

For D.)

2x+3y= 4

3y= 4-2x

<u>y= -2/3x + 4/3</u>

Now, if we look at D, the slope is negative so it cannot be D. That leaves us with A and B. The b in the y=mx + b equation stands for the y-intercept, so we can see that the y-intercept is 2. So, since the graph intersects the y-axis at (0,2), the answer is B! y=3/2 + 2 has a positive slope and 2 for the y-intercept!

4 0
3 years ago
I need to find the area, I just need to show my work any answers can help.​
sergij07 [2.7K]
Area of rectangle: 15 x 7 = 105
area of semicircle: 1/2 (3.14r^2)
radius is half of diameter so it would be 7.5
1/2 (3.14(7.5)^2)
=1/2 (176.71)
=88.355
rounded is 88.4
4 0
2 years ago
If 33% of the members of Sweetheart Union sign petitions to decertify the union, the National Labor Relations Board will call an
Elis [28]

Answer:

There is no need to call for election.

Step-by-Step Explanation

Surveys are based on probability or statistics. It serves as a standard tool for experimental research in marketing, social sciences and official data statistics.

Since 8 out of 40 members of the Sweetheart Union will sign the petition, the percentage of those who will sign the petition is calculated below:

\frac{8}{40}*100=20\%

Based on the sample survey, only 20 percent of the members will sign the petition. Since, in the sample, the number of those who will sign is less than 33%, the union should be told that there is no need for the National Labor Relations Board to call for the election.

5 0
3 years ago
SOME ONE PLEASE HELP WITH THIS MATH QUIZ PLASE HONEST AWNSERS!!!
Liula [17]

Answer:

1. d 2. d 3. a

Step-by-step explanation:

1. factor

((w-4)(w-6))/((w-5)(w-6))+8/(w-5)

solve

(w-4)/(w-5)+8/(w-5)

(w+4)/(w-5), so d

2.factor

((b+2)(b-4))((b+2)(b-1))-6/(b-1)

solve

(b-4)/(b-1)-6(b-1)

(b-10)/(b-1), so d

3. (2/5t-3/3t)/(1/2t+1/2t)

(2/5t-1/t)/(2/2t)

(2/5t-1/t)/(1/t)

t(2/5t-1/t)

2/5-1=-3/5, so a

7 0
2 years ago
Simplify (x^2y)^3. <br> 1)X^2y^3<br> 2)x^5y^3<br> 3)x^6y^3
dsp73

Answer:

the answer is 2

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • The diagnosis of a square are a.perpendicular
    14·1 answer
  • AGGGGGGGG!!! I'm so bad at math!! HELLLPPPLL
    9·1 answer
  • Help plss :)))))))))
    10·2 answers
  • #6 is the question, are these two functions inverse’s
    8·1 answer
  • Ted can clear a football field of debris in 3 hours. Jacob can clear the same field in 2 hours. When they work together, the
    5·2 answers
  • 7. Solve for x, showing each of the steps.<br> (MAFS.8.EE.3.7)<br> x + 5 = -10<br> WIN
    15·1 answer
  • PLEASE HELP ON ALL QUESTIONS !! <br><br><br><br><br><br><br>THANK YOU TO WHO EVER ANSWERS :)
    8·1 answer
  • Please help and explain:(?
    10·1 answer
  • someone please please help me!
    11·1 answer
  • How to solve intersecting-lines-angle. <br>in geometry.​
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!