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
Grace [21]
3 years ago
13

Write the equation of the line that is perpendicular to the line 5y=x−5 through the point (-1,0).

Mathematics
1 answer:
Artemon [7]3 years ago
7 0

Hey there!

First, we want to put the equation of this first line in slope-intercept form.

5y=x-5

We divide both sides by 5.

y=1/5x-1.

The slope of a perpendicular is line is the negative reciprocal of the slope of the original line. The slope of a line perpendicular to a line with the equation y=1/2x would be -2, because you flip the numerator and denominator and then make it negative.

So, this means that the slope of the line perpendicular to the line y=1/5x-1 is -5. So, here's our equation so far.

y= -5x+b

Now, we need to find the b. To do this, we can plug in this point (-1,0) that this perpendicular line goes through and solve for b.

0=-5(-1)+b

0=5+b

b= -5

So, this gives us the equation y= -5x-5

Have a wonderful day!

You might be interested in
What is 4 divided by 6 + 89 - 34 -89 +190
saw5 [17]
4/(6+89-34-89+190)
=4/162
=2/81
That's your answer.
5 0
3 years ago
Read 2 more answers
A company estimates that it will sell ????(x) units of a product after spending x thousand dollars on advertising, as given by ?
zepelin [54]

Answer:

(11\frac{1}{3},20)

Step-by-step explanation:

If the Number of Sales of x units, N(x) is defined by the function:

N(x)=-5x^3+235x^2-3400x+20000,10\leq x\leq 40

N'(x)=-15x^2+470x-3400\\When -15x^2+470x-3400=0\\x=20, x=11\frac{1}{3}

Next, we text the critical points and the end points of the interval to see where the derivative is increasing.

N'(10)=-200\\N'(11\frac{1}{3})=0\\N'(19)=115\\N'(20)=0\\N'(40)=-8600

Thus, the rate of change of sales N'(x) is increasing in the interval (11\frac{1}{3},20) on 10≤x≤40.

7 0
3 years ago
Find the following probabilities based on the standard normal variable Z. (You may find it useful to reference the z table
hammer [34]

Answer:

Step-by-step explanation:

a. P(Z > 1.12) = 1-N(1.12) = 1-0.8686431=0.1313569

b. <em>P(Z S-2.35)</em>  => P(Z <= 2.35) = 0.009386706

(please check interpretation of question b)

c. <em>POSZ s 1.34)</em> => P(0 <= Z <= 1.34) =  0.9098773 - 0.5 = 0.4098773

(please check interpretation of question c)

d. P(-0.8 sz s 2.44) => P(-0.8 <= 2.44) = 0.9926564 - 0.2118554 = 0.780801

(please check interpretation of question d)

7 0
3 years ago
Thomas and Pablo began arguing about who did better on their tests, but they couldn't decide who did better given that they took
Shkiper50 [21]

It should be noted that the z score for Thomas test grade is 0.237.

<h3>How to illustrate the information?</h3>

From the information, Thomas took a test in Social Studies and earned a 74.8 and there is the fact that all the students' test grades in the Social Studies class had a mean of 72.6 and a standard deviation of 9.3,

Therefore, the z score for Thomas test grade will be:

= Test score - Mean / Standard deviation

= 74.8 - 72.6 / 9.3

= 0.237.

Therefore, it should be noted that the z score for Thomas test grade is 0.237.

Learn more about standard deviation on:

brainly.com/question/12402189

#SPJ1

Thomas and Pablo began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Thomas took a test in Social Studies and earned a 74.8, and Pablo took a test in Science and earned a 64.1. Use the fact that all the students' test grades in the Social Studies class had a mean of 72.6 and a standard deviation of 9.3, and all the students' test grades in Science had a mean of 61.1 and a standard deviation of 9.8 to answer the following questions.

Calculate the z score for Thomas test grade.

4 0
1 year ago
What is the relationship between angle 8 and angle 4?
GuDViN [60]
Corresponding angles
5 0
4 years ago
Read 2 more answers
Other questions:
  • Compare 2x+8&gt;18 and 2x+8 greaterthan or equal to 18
    6·1 answer
  • Question 101 points)
    14·1 answer
  • Can you solve -4a^ - (6a-2) + 3 (a^-1).the arrows that are pointing up is exponent 2.also please show work
    9·1 answer
  • 7(2x+6)=1 plzzz Yelp
    13·2 answers
  • Three fourths of a number p less subtracted by 2 is 5 sixths of a number r plus 5
    5·1 answer
  • PLEASE HELP ME ASAPPP!!! WORK DUE SOON :(
    14·1 answer
  • 5/7(14-21x)=115<br> what is the answer?
    5·1 answer
  • 80 Superscript one-fourth x
    5·1 answer
  • Find the coordinates of the point which divides the line segment joining the points (4, -3) and (8,5) in the ratio 3:1 internall
    8·1 answer
  • Find the area of the figure 3m 6m 8m<br> A.48m<br> B.36m<br> C.24m<br> D.60m
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!