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
NISA [10]
3 years ago
14

What is an equation of the line that passes through the point (-1, 4) and is parallel

Mathematics
1 answer:
vesna_86 [32]3 years ago
3 0

Answer:

The answer is

<h2>y + 2x = 2</h2>

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

The original line is 2x + y = 1

We must first write the equation in the general form above

That's

y = - 2x + 1

Comparing with the general equation above

Slope = - 2

Since the lines are parallel their slope are also the same

Slope of parallel line = - 2

So the equation of the line using point

( - 1 , 4) and slope - 2 is

<h3>y - 4 =  - 2(x + 1) \\ y - 4 =  - 2x - 2 \\ y + 2x =  - 2 + 4</h3>

We have the final answer as

<h3>y + 2x = 2</h3>

Hope this helps you

You might be interested in
Legend has it that a bull sasquatch in rut will howl approximately 9 times per hour when it is 40°f outside and only 5 times per
ahrayia [7]

The answer is 13.

To solve this question, you need to determine the slope of the function. if howl  is y and the temperature is x of the graph, the slope would be:

9-5/(40-70)= 4/-30= -2/15

Using one of the point and the slope, you can find the number of howl

-2/15= 9-y/40-(-20)

9-y= -2/15 * 60

9-y= -4

y= 9+4= 13

8 0
3 years ago
A spinner is divided into three equal sections labeled 1, 2, and 3. Another spinner is divided into four equal sections labeled
Mrac [35]
9 is the anser trust me i just took the test i hate computer scored test but that is the answer 
7 0
3 years ago
Read 2 more answers
Put the following equation in slope-intercept form: 2x+4y=12
guajiro [1.7K]
Y=-1/2x+3 is the slope intercept form.
4 0
3 years ago
The mean rent of a 3-bedroom apartment in Orlando is $1300. You randomly select 10 apartments around town. The rents are normall
lana [24]

Answer:

96.49% probability that the mean rent is more than $1100

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\mu = 1300, \sigma = 350, n = 10, s = \frac{350}{\sqrt{10}} = 110.68

What is the probability that the mean rent is more than $1100?

This is 1 subtracted by the pvalue of Z when X = 1100. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{1100 - 1300}{110.68}

Z = -1.81

Z = -1.81 has a pvalue of 0.0351

1 - 0.0351 = 0.9649

96.49% probability that the mean rent is more than $1100

7 0
4 years ago
Twenty different books are to be put on five book shelves, each of which holds at least twenty books.
lapo4ka [179]
Hello There!

The total number of different arrangements is 10,628.

Hope This Helps You!
Good Luck :) 

- Hannah ❤
8 0
3 years ago
Other questions:
  • What is the equation 7n + 6n -5 = 4n + 4
    8·2 answers
  • Find the values of x (if any) at which f(x)= x+1/x2-1 is not continuous. If so, is the discontinuity removable?
    6·2 answers
  • What is the answer to this question
    15·1 answer
  • Given: Lines a and b are parallel and line c is a transversal. Prove: Angle2 is supplementary to Angle8 Horizontal and parallel
    14·2 answers
  • Find the sum of 4x^2<br> -4x + 10 and 2x^2+ 5x – 8.
    8·1 answer
  • Someone explain how to do dis
    10·1 answer
  • There are 10 black balls and 15 red balls in the urn. If you take out a ball, what is the probability that it is black?
    10·2 answers
  • For a given input value x, the function g outputs a value y to satisfy the following equation.
    9·1 answer
  • Man, I fr need help.
    6·2 answers
  • Three less than a number x is more than 15. an inequality that represents this word sentence is
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!