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
slavikrds [6]
3 years ago
14

Line AB has an equation of a line y = 5x − 2. Which of the following could be an equation for a line that is parallel to line AB

? y = 5x + 3 or y = 1/5x + 3 or y = −5x + 3 or y = −1/ 5x + 3
Mathematics
1 answer:
SpyIntel [72]3 years ago
4 0
Determine the slope of line AB
m = 5

Determine the slope of the lines from the options
First option: y = 5x + 3, the slope is 5
Second option: y = (1/5)x + 3, the slope is 1/5
Third option: y = -5x + 3, the slope is -5
Fourth option: y = (-1/5)x + 3, the slope is -1/5

Parallel lines are similar in the slope. So the line which is parallel to line AB must have the slope of 5.

The answer is first option.
You might be interested in
What is 45x3,679= what is the sum
Westkost [7]

Answer:

679

Step-by-step explanation:

5 0
2 years ago
A triangle with the coordinates (6,4), (2,-1), and (-3,5) is translated 4 Units left and rotate 180 degrees about the origin. Wh
ankoles [38]

Answer:

(-2,-4),(2,1), and (7,-5)

Step-by-step explanation:

The given triangle has coordinates (6,4), (2,-1), and (-3,5).

When we translate 4 units left, the we obtain:

(6,4)------>(6-4,4)=(2,4)

(2,-1)----->(2-4,-1)=(-2,-1)

(-3,5)----->(-3-4,5)=(-7,5)

When the resulting figure is rotated 180° about the origin, the coordinates of the final figure becomes

(2,4)------>(-2,-4)

(-2,-1)----->(2,1)

(-7,5)------->(7,-5)

NB: The mapping for 180° rotation is:

(x,y)----->(-x,-y)

8 0
3 years ago
How do I begin this equation
alex41 [277]
Trigonometry:
We know that   csc x = 1 / sin x    and π = 180°;
sin 5π/ 6 = sin 150° = 1/2
csc 2π / 3 = 1 / sin 120° = 1 / √3/2 = 2 / √3
Finally:
4 · 1/2 + 7 · ( 2 / √3 )² = 2 + 7 · 4/3 = 
= 2 + 28/3 = 2 + 9 1/3 =  11  1/3
5 0
3 years ago
A regular 10-sided polygon is called a decagon. What is the area of the decagon that has sides that measure 4.5 inches and an ap
scoray [572]

Answer:

94.5 square inches :)

Step-by-step explanation:

3 0
3 years ago
A simple random sample of 100 observations was taken from a large population. The sample mean and the standard deviation were de
olga2289 [7]

Answer:

Se=1.2

Step-by-step explanation:

The standard error is the standard deviation of a sample population. "It measures the accuracy with which a sample represents a population".

The central limit theorem (CLT) states "that the distribution of sample means approximates a normal distribution, as the sample size becomes larger, assuming that all samples are identical in size, and regardless of the population distribution shape"

The sample mean is defined as:

\bar X =\frac{\sum_{i=1}^n x_i}{n}

And the distribution for the sample mean is given by:

\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})

Let X denotes the random variable that measures the particular characteristic of interest. Let, X1, X2, …, Xn be the values of the random variable for the n units of the sample.

As the sample size is large,(>30) it can be assumed that the distribution is normal. The standard error of the sample mean X bar is given by:

Se=\frac{\sigma}{\sqrt{n}}

If we replace the values given we have:

Se=\frac{12}{\sqrt{100}}=1.2

So then the distribution for the sample mean \bar X is:

\bar X \sim N(\mu=80,Se=1.2)

5 0
3 years ago
Other questions:
  • A restaurant had a special on hamburger meal deals. They marked down the meals from $7 to $4. How much would you SAVE on 5 meal
    15·1 answer
  • A pitcher is full of lemonade. Which unit of liquid volume best describes the amount of lemonade in the pitcher? Explain.
    12·1 answer
  • 120 dollars is 60 percent of how many dollars
    15·1 answer
  • The height of a right cylinder is r , where r is the radius. Write a function f in simplest form that represents the ratio of th
    6·1 answer
  • Vince has a rectangle rug in his room with an area of 10 feet. The length of the rug is 18in longer than the width. What are the
    15·2 answers
  • please help with this.....
    14·1 answer
  • A soccer player stands in the south east corner of a 72 yard x 65 yard field and kick the soccer ball All the way to a player in
    8·1 answer
  • the value of a car that cost $16,000 decreased to $12,000 after 2 years what is the percent of decrease
    5·2 answers
  • Find the missing side of each triangle.
    11·2 answers
  • the scoop of an excavator holds 26 ft³of sand. if the capacity of a freight car is 39 tons of sand and we know that 1 ft³ of san
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!