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
Andrej [43]
2 years ago
7

What is the equation for the line perpendicular to the line represented by the equation y = 13x – 2 that passes through the poin

t (4, –7)?
Mathematics
1 answer:
laiz [17]2 years ago
4 0

The equation of the perpendicular line is:

y = (-1/13)*x - 87/13

<h3>How to get the line equation?</h3>

For a general linear equation:

y = a*x + b

Another linear equation that is perpendicular to the above one is given by:

y = (-1/a)*x + c

Where a, b, and c are real numbers.

In this case, we want to find a perpendicular line to:

y = 13*x - 2

Then it will be something like:

y = (-1/13)*x + c

To find the value of c, we use the fact that it must pass through the point (4, -7), then:

-7 =  (-1/13)*4 + c

Now we can solve that for c:

-7 + 4/13 = c

-87/13

Then the linear equation is:

y = (-1/13)*x - 87/13

If you want to learn more about linear equations:

brainly.com/question/1884491

#SPJ1

You might be interested in
I really need help with this please helpp!!!
jolli1 [7]
What do you need help in??
6 0
2 years ago
PLEASE ANSWER DONT IGNORE ): I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS
Lera25 [3.4K]

Answer:

Niether of them are correct

Step-by-step explanation:

If you actually put into your calculator 2^28, it equals 268,435,456. This is because you're not just squaring 28, you are multiplying 2 by 2-- 38 times. This will quickly add up, even if you start out with 2 it will create a very large number.

7 0
3 years ago
75,575 - How do the values of the digits 5 differ in the number
nirvana33 [79]
The place value of a certain digit is 10 times bigger than its adjacent digit to the right so the compare to the 5 in the thousands place it is 1000 times bigger than the 5 in the ones place and 10 times bigger than the 5 in the hundreds place
3 0
2 years ago
BEST ANSWER GETS BRAINLIEST
Alexandra [31]

Answer:

1. The speed of the truck, S = D/T.

2. The formula that connects D and T is: S = D/T.

3. The coefficient of variation, k, is the ratio of the standard deviation to the mean speed.

Step-by-step explanation:

a) The speed of a truck at a fixed speed is given as the distance covered by the truck divided by the time it takes the truck to cover the said distance.  This implies that speed is a function of distance and time.  However, this formula represents the mean speed.  There are variations in speed.

b) If the truck covers a distance of 60 kilometers, for example, under 3 hours, we can conclude that the speed is 20 kilometers per hour (60/3) or 20 km/hr.

4 0
3 years ago
The table shows a person’s annual salary y (in thousands of dollars) after x years of education beyond high school. What is the
kolezko [41]

Answer:

A.  The annual salary of the person after 8 years of education beyond high school will be $76,000.

C. The annual salary of the person after 30 years of education beyond high school will be $208,000.

The given situation does not make sense in real world.

Step-by-step explanation:

We have been given a table of values, which shows a person’s annual salary y (in thousands of dollars) after x years of education beyond high school.

A. First of all we will find the equation of the line form our given values.

We can see that our function is increasing at a constant rate as each next term is 12 more than the last term:

40-28=12

52-40=12

Let us find the slope of our given line using points (0,28) and (10,88) in slope formula.

\text{Slope}=\frac{y_2-y_1}{x_2-x_1}, where,

y_2-y_1 = Change in two y-coordinates.

x_2-x_1 = Change in same x-coordinates of two y-coordinates.

Upon substituting coordinates of our given points in slope formula we will get,

\text{Slope}=\frac{88-28}{10-0}

\text{Slope}=\frac{60}{10}

\text{Slope}=6

Since we know that slope-intercept form of an equation is: y=mx+b, where,

m = Slope of the line,

b = y-intercept or initial value.

We can see from our table that at x equals zero, y equals 28, so our y-intercept will be 28.

Upon substituting m=6 and b=28 in slope-intercept form of equation we will get,

y=6x+28

Therefore, the equation y=6x+28 represents the annual salary in thousands of dollars after x years of education beyond high school.

To find the salary of a person after 8 years of education beyond high school, let us substitute x=8 in our equation.

y=6*8+28

y=48+28

y=76

As the equation gives annual salary of a person in thousand dollars, therefore, the annual salary of the person after 8 years of education beyond high school will be $76,000.

C. To find the salary of a person with 30 years of education, we will substitute x=30 in our equation.

y=6*30+28

y=180+28

y=208

Therefore, the annual salary of the person after 30 years of education beyond high school will be $208,000.

Since a person does not study 30 years beyond high school, therefore, this situation does not make sense in real word.

3 0
3 years ago
Other questions:
  • What are the intercepts of 2x + 3y – 6z = 30?
    13·1 answer
  • FAST 20 POINTS PLEASE HELP WILL GIVE BRAINIEST ANSWER What is the solution of the system of equations? {3x−1/2y=−7/2 x+2y=1 Ente
    12·1 answer
  • How do you find the slope of y=-4/3x - 1?
    11·2 answers
  • (a) Use the fundamental theorem of algebra to determine the number of roots for 2x^2+4x+7 show your work
    9·1 answer
  • If x=5 and y=7 find the value of x(y-2)<br><br> i need help
    14·2 answers
  • The volume of a cube is 64 cubic inches. Which expression represents s, the length of a side of the cube?
    8·1 answer
  • I WILL GIVE BRAINLY TO CORRECT ANSWER
    5·2 answers
  • Sophia is 12 years old. Her Uncle Reynald tells her that if she adds 5 to her age, multiplies the sum by 3, and then subtracts 4
    6·1 answer
  • What would be the second step in this problem? (3 + 4) 9 + 3 =
    14·2 answers
  • A shipping box in the shape of a rectangular prism has a volume of 15,000
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!