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
const2013 [10]
3 years ago
14

What is an equation of the line that is parallel to y=5x−7 and passes through (1, 11) ?

Mathematics
2 answers:
FinnZ [79.3K]3 years ago
8 0

Answer:

y = 5x+6 is equation of line that is parallel to y = 5x-7 and passing through (1,11).

Step-by-step explanation:

We have given a equation of line and a point.

y = 5x-7 (x,y) = (1,11)

We have to find equation of line that is parallel to given equation of line and passing through given point.

y-y = m(x-x) is point-slope form of equation of line where m is slope of line.

Since, we know that parallel line have equal slope of line.

Given equation has slope equal to 5.

Parallel line also has slope equal to 5.

m = 5

Putting values in point-slope form of equation , we have

y-(11) = 5(x-1)

y-11 = 5x-5

y = 5x-5+11

y = 5x+6 is equation of line that is parallel to y = 5x-7 and passing through (1,11).

Leona [35]3 years ago
7 0

ANSWER

y = 5x + 6

EXPLANATION

The given equation is

y = 5x - 7

The slope of this line is

m = 5

Any line parallel to this line also has the same slope.

If the parallel line passes through (1,11),

then, it's equation is given by:

y-y_1=m(x-x_1)

Substitute the slope and point to get,

y - 11 = 5(x - 1)

y = 5x - 5 + 11

y = 5 x + 6

is the required equation.

You might be interested in
10. Use grids to draw all the possible arrays
Alexus [3.1K]

Answer:

Please check the attached figure a to visualize the array grid for 5, 7 and 11.

Step-by-step explanation:

As the given number be 5, 7 and 11.

An array is basically the display of things in rows and columns. Students tend to draw arrays for multiples of a given number.

For example,  2 × 1 means the objects are placed in two rows and 1 column.

The numbers 5, 7 and 11 are prime numbers as they have only two factors  

  • A prime number consists of just two factors, 1 and the number itself
  • For example, 3 is prime number because the only factors of 3 are 1 and 3

So,  

As the factors of 5 are 1 and 5. Therefore, the possible number of drawing all the possible arrays of 5 will be two which are

  • 1 × 5 and 5 × 1

As the factors of 7 are 1 and 7. Therefore, the possible number of drawing all the possible arrays of 7 will be two which are

  • 1 × 7 and 7 × 1

As the factors of 11 are 1 and 11. Therefore, the possible number of drawing all the possible arrays of 11 will be two which are

  • 1 × 11 and 11 × 1

Please check the attached figure a to visualize the array grids for 5, 7, and 11.

Keywords: arrays, number, prime number

Learn more about drawing arrays for number from brainly.com/question/13278394

#learnwithBrainly

4 0
3 years ago
I REALLY NEED HELP FOR SOLVING X!<br><br> (25 Points)
vaieri [72.5K]

Answer:

105°

Step-by-step explanation:

25+50+x=180

75+x=180

x=105

4 0
3 years ago
Read 2 more answers
You have large,medium, and small books in the ratio of 7:6:3 and you have a total of 32 books how many small books do you have
igor_vitrenko [27]

6 is the amount you have

6 0
3 years ago
Use the discriminant, b2 - 4ac, to determine which equation has complex solutions.
ruslelena [56]

Using the discriminant, the quadratic equation that has complex solutions is given by:

x² + 2x + 5 = 0.

<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>

A quadratic equation is modeled by:

y = ax² + bx + c

The discriminant is:

\Delta = b^2 - 4ac

The solutions are as follows:

  • If \mathbf{\Delta > 0}, it has 2 real solutions.
  • If \mathbf{\Delta = 0}, it has 1 real solutions.
  • If \mathbf{\Delta < 0}, it has 2 complex solutions.

In this problem, we want a negative discriminant, hence the equation is:

x² + 2x + 5 = 0.

As the coefficients are a = 1, b = 2, c = 5, hence:

\Delta = 2^2 - 4(1)(5) = 4 - 20 = -16

More can be learned about the discriminant of quadratic functions at brainly.com/question/19776811

#SPJ1

3 0
2 years ago
F(x) = -3x + 7 x = -2
Marat540 [252]

Answer:

X= 1/2

Step-by-step explanation:

-3x+7x=2

4x = 2

4x/4 + 2/4

X= 1/2

8 0
3 years ago
Read 2 more answers
Other questions:
  • 4 friends buy cinema tickets using this offer.
    7·1 answer
  • There are 16 box cars and 24 boys registered for the box car tournament. Which ratio accurately compares the number of boys to t
    6·2 answers
  • Complete the equation describing how x and y are related​
    8·1 answer
  • A taxi service charges an initial fee of $2.15 then charges $1.68 a mile. Write a linear equation to model this situation.
    14·2 answers
  • Need help with math question
    13·1 answer
  • Wtite an equivelant expressionn for 8(3x+2)
    6·2 answers
  • ILL GIVE YOU BRAINLIST * get it right *Find the slope of the line.
    5·2 answers
  • Identify the terms and like terms in the expression. x² - 3x + 4 + 2x² - x - 12. Thank you to anyone who helps, I appreciate it
    14·1 answer
  • Tan22° + tan23° tan22°. tan23° = 1 prove that ​
    9·1 answer
  • Please help it is urgent in stuck #41
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!