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
klasskru [66]
3 years ago
12

Find the equation of the line through (8,−6) which is perpendicular to the line y=x3−7.

Mathematics
1 answer:
ycow [4]3 years ago
8 0

Answer:

y = (-1/3)(x + 10)

Step-by-step explanation:

The slope of the new (perpendicular) line is the negative reciprocal of the slope of the given line, which appears to be 3.  Thus, the perpendicular line has the slope -1/3.

Using the slope-intercept form y = mx + b, and substituting the givens, we obtain:

y = mx + b    =>    -6 = (-1/3)(8) + b, or

-6 = -8/3 + b.  We must solve for the y-intercept, b:

Multiplying all three terms by 3 removes the fraction:

-18 = -8 + 3b.  Thus, -10 = 3b, and so b must be -10/3.

The desired equation is    

y = (-1/3)x - 10/3, or

y = (-1/3)(x + 10)

You might be interested in
How do you do this problem 2/5+4a=-6/5 what does A = to?
a_sh-v [17]

Answer: A = -2/5

Step-by-step explanation:

- 6/5 - 2/5 = - 8/5 aka - 1 3/5

-1 3/5 ÷ 4 = - 2/5

4 0
3 years ago
How do I find x (area of rectangle & trapezium?
lesantik [10]
Rectangle Formula: a = lw (Area = Length x Width) 

Trapezium: A= a+b/2h (Area = Area + Base / 2 x h) 

I hope this helps. :)
5 0
3 years ago
5x-7y=-2<br> -5x-10y=-15
seraphim [82]

{5x-7y=-2

<u>{-5x-10y=-15     </u>(+)

<em>5x-5x-7y-10y=-17</em>

<em> </em>-17y=-17    /:(-17)

  y=1

<em /><em>5x-7 *1=-2</em>

<em />5x-7=-2    /+7

5x=5     /:5

x=1

<u>Solution:</u> (1; 1)   

8 0
3 years ago
A brand of frozen green beans lists a weight of 32
ddd [48]
I think the answer is B
4 0
3 years ago
Read 2 more answers
Find the number of ways to listen to 4 CDs from a selection of 8 CDs.
Sati [7]
1680. 8p4, which is 8!/(8-4)!
5 0
3 years ago
Other questions:
  • Ms. Higgins would like for her homework assignments to have three addition problems for every five subtraction problems. If she
    6·1 answer
  • Tyler baked 702 cookies he sold them boxes of 18 after selling all of the boxes of cookies for the same amount each he earned 13
    5·2 answers
  • Sketch a quadrilateral with no right angles and sides all the same length. What type of quadrilateral have you sketched? Include
    6·1 answer
  • 8x+2y=16<br>what is f(1) for the function..? ​
    10·2 answers
  • Help me plz Answer ???
    5·1 answer
  • An investment of $7,650 at the rate of 5% and is compounded quarterly. What is the investment at the end of 9 years?
    7·1 answer
  • Plz help ASAP!! Explain your answer! I will mark at brainliest!!! And don’t copy anybody else’s answer
    10·1 answer
  • The rectangle below has an area of 81-x^281−x
    15·1 answer
  • Need help ASAP please show your points! Graph f(x)=1/2x+2
    12·1 answer
  • Compute the monthly payments for the add on interest loan. The amount of the loan is $8,276.17. The annual interest rate is 5.7%
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!