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
There are 60 dogs at a doggie daycare on Friday. If 1/3 of the dogs are large dogs, 1/6 of the dogs are medium-sized dogs,and th
Lorico [155]

Half of the dogs are small dogs

5 0
3 years ago
Read 2 more answers
Does anyone know the fraction pairs for these? Please help ASAP!
pishuonlain [190]

Answer:

dividing denominators

Step-by-step explanation:

you say for example 12/5, means 12 divides 5 is going to give something 2.4, so as the answer is gonna be 2 hole number 4/5.

3 0
3 years ago
Use Euler’s Formula to find the missing number.<br> Edges: 37<br> Faces: 25<br> Vertices: ?
matrenka [14]

Answer:

Step-by-step explanation:

Comment

The formula that relates edges faces and vertices is  F + V = E + 2

Givens

Edges (E): 37

Faces (F) = 25

Vertices: x

Solution

25 + x = 37 + 2                Subtract 25 from both sides.

25-25 +x= 37 - 25 + 2    Combine

x = 12 + 2

x = 14

Answer: The vertices =<u> 14</u>

7 0
2 years ago
Will give brainiest &amp; other. Help please!
alina1380 [7]

Answer:

y= 1x

Step-by-step explanation:

6 0
2 years ago
What is the difference between the absolute value 4 and the absolute value of -3
LUCKY_DIMON [66]

Answer:

1

Step-by-step explanation:

The absolute value of -3 is 3, so 4-3=1

4 0
3 years ago
Other questions:
  • A train travels 220 miles in 4 hours. What is the train's speed in feet per minute?
    11·2 answers
  • How do I solve x+(2x-4)=11
    11·2 answers
  • In a candy bar, 165 calories are from sugar. There are 250 calories in the candy bar. What percent of the calories are from suga
    6·2 answers
  • A pitcher contains 40 fluid ounces of tea Shelby pour 3 cups of tea how many pints are left
    15·2 answers
  • What expressions are equal to (5x-7)-(3x-4)
    12·1 answer
  • What is the coefficient in the algebraic expression 7 xy2 ?
    6·1 answer
  • What is the probability of selecting a red card from a standard deck of 52 playing cardships that does not contain a joker?
    5·2 answers
  • Write each as a decimal. Round to the thousandths place.<br> 9) 78.4%<br> 10) 29%<br> Help
    8·1 answer
  • Solve the math problem
    14·1 answer
  • The diagram shows a rectangle.
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!