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
love history [14]
2 years ago
13

Let m and c represent constants with m nonzero. What is the equation of the line perpendicular to y=m(x+c) and with the same y-i

ntercept?
Geography
1 answer:
nikklg [1K]2 years ago
8 0

Answer:

y = -\frac{1}{m}x + mc

Explanation:

Given

y = m(x + c)

Required

Determine an equation of a perpendicular line but with the same y intercept

y = m(x + c)

Open bracket

y = mx + mc

A linear equation is represented with:

y = ax + b

Where

a = slope

b = y\ intercept

By comparison:

a = m

b = mc

So, the slope of y = m(x + c) is m

Because the new line is perpendicular to y = m(x + c), the relationship between their slopes is:

a_2 = -\frac{1}{a_1}

Where

a_1 = slope of the first equation

a_2 = slope of the second equation

Substitute m for a_1 in a_2 = -\frac{1}{a_1}

a_2 = -\frac{1}{m}

Hence, the slope of the new equation is: -\frac{1}{m}

From the question, we understand that they have the same y intercept.

So, the equation of the new equation is:

y = -\frac{1}{m}x + mc

You might be interested in
What side the mountain receives the most precipitation?
nadezda [96]
<span> well down the leeward side of the mountain, which increases the amount of moisture that it can absorb and makes an arid region.</span>
6 0
3 years ago
Since sugar comes from food, which system would directly affect blood sugar levels?
m_a_m_a [10]

Answer:

circulatory system

Explanation:

sugar affects your blood and the circulatory controls a lot of things

7 0
2 years ago
Read 2 more answers
The mixed economy of Australia is becoming more of a market economy as fewer economic decisions are made by
BaLLatris [955]
Market economies are based on market forces like supply and demand. Mixed economies fall in the middle of market and command economies (where economic choices are governed by some central entity usually the government). The former Soviet Union (USSR) is an example of a command economy where economic choices (what to buy, sell and produce) where made by the government. If Australia is becoming more of a market economy and less of a mixed economy, fewer decisions are made by the government. Here's a diagram of two major types of economies:

Command Economy <-------------- Mixed Economy --------> Market Economy
(Government makes the decisions)      (A little of both)         (Individuals decide)

7 0
3 years ago
What is the main source of electricity generation for the state of Kentucky?
Norma-Jean [14]
Although coal is Kentucky's primary energy source, the state also produces oil and natural gas
5 0
2 years ago
Can someone summarize this?
ale4655 [162]

Answer:

In this passage refers to the cultural influence of African culture from other continents. However, it wants to adapt to the changes of the modern world. Traditions in Africa are different from those found in other countries. Many events are celebrated through dance, as African art captures through unique ways of transmitting, communicating African cultural values.

5 0
3 years ago
Other questions:
  • What happens to water vapor as it rises over the mountain
    6·2 answers
  • Parts of the Northeast are quite rugged in the northern reaches of _____.
    14·2 answers
  • The nutrients in topsoil that support plant growth come from
    14·2 answers
  • According to the theory of continental drift, what was the original state of the worlds continents?
    13·1 answer
  • What is the critical latitude for incoming solar radiation, which could affect the formation of ice sheets?
    11·1 answer
  • Why does every relationship needs chastity to be healthy and loving?
    15·1 answer
  • Most land in Latin America is used for...
    6·1 answer
  • Hello lets talk<br><br><br><br> jonas dies
    15·2 answers
  • Why are urban areas a good place to locate industry? list 4 reasons
    6·1 answer
  • So one day when I was laying on my cat while my mom played dinner in the cinema my dad crawled up the wall into the garage where
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!