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
satela [25.4K]
3 years ago
10

A direct variation function contains the points (-9, -3) and (-12, -4). Which equation represents the function?

Mathematics
1 answer:
Lisa [10]3 years ago
6 0

Answer:

y=\frac{1}{3} x

Step-by-step explanation:

we need a function that when we plug the value of x, we get the given value of y.

In the coordinate point

(-9, -3)

the x and y values are:

x = -9

y = -3

so we can see that the value of y is one third of the x value (because -9/3 = -3):

y=\frac{1}{3} x

this is also true for the secod point:

(-12, -4)

here the x and y values are:

x = -12

y = -4

again the y value is one third of the x value (because -12/3 = -4):  

y=\frac{1}{3} x ⇒ this is the equation that represents the function.

You might be interested in
A 14 inch pizza (diameter is 14) was cut in to 8 pieces. What is the angle measure of each slice? *
Luda [366]

Answer:

The angle for each slice is 45 degrees.

Step-by-step explanation:

In order to calculate the angle of each slice, we first need to calculate the total area of the pizza, because we will use that to find the area of each slice and as a result it's angle. To calculate the area of the pizza we must use:

pizza area = pi*r²

r = d / 2 = 14 /2 = 7 inches

pizza area = pi*(7)² = 153.86 square inches

Since the pizza was divided in 8 pieces, the area of each piece is given by the area of the pizza divided by the number of slices. We have:

slice area = pizza area  / 8 = 153.86 / 8 =19.2325 square inches

Each slice is a circle sector, therefore it's area is given by:

slice area = (angle*pi*r²)/360

Therefore we can solve for angle:

19.2325 = (angle*pi*7²)/360

angle*pi*49 = 6923.7

angle = 6923.7 / pi*49 = 45 degrees

The angle for each slice is 45 degrees.

4 0
2 years ago
A triangle has an area of 54 square inches the height of the triangle is 12 inches what is the length of the base of the triangl
prohojiy [21]

Answer:

<em>The base of the triangle = 9inches</em>

Step-by-step explanation:

<u>Explanation</u>:-

The area of the triangle = \frac{1}{2} bh square units

Given area of the triangle(A) = 54 square inches

Given the height of the triangle (h) = 12 inches

now  equating     \frac{1}{2}  b h = 54

                          \frac{1}{2}  b (12)  = 54

now simplification, we get

                           6 b = 54

Dividing '6' on both sides, we get

                             b = 9

The base of the triangle = 9 inches

<u>Conclusion</u>:-

<em>The base of the triangle = 9 inches</em>

6 0
3 years ago
A plumber charges $90 per hour and a $50 travel fee.
Fittoniya [83]
Okay so subtract 50 from both sides and you would get 360=90x and then divide each side by 90 and you would get x= 4 so it took 4 hours
8 0
3 years ago
Read 2 more answers
Solve the rational function of (check image) and check for extraneous solutions
Oxana [17]

Answer:

Option A is correct.

i.e. x = 1, x = 0 is an extraneous solution.

Step-by-step explanation:

Given the expression

\frac{5}{x}=\frac{4x+1}{x^2}

Solving the rational function

\frac{5}{x}=\frac{4x+1}{x^2}

Apply fraction across multiply: if \frac{a}{b}=\frac{c}{d}\mathrm{\:then\:}a\cdot \:d=b\cdot \:c

5x^2=x\left(4x+1\right)

Subtract x(4x+1) from both sides

5x^2-x\left(4x+1\right)=x\left(4x+1\right)-x\left(4x+1\right)

Simplify

5x^2-x\left(4x+1\right)=0

5x² - 4x² - x = 0

x² - x = 0

Factor x² - x = x(x-1)

so

x(x-1) = 0

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

x=0\quad \mathrm{or}\quad \:x-1=0

Thus, the solution to the equation is:

x=0,\:x=1

But, it is clear that if we substitute x = 0, the equation becomes undefined because we can not have the denominator to be 0.

In other words, the equation is undefined for x = 0

Thus, x = 0 is an extraneous solutions.

Therefore, option A is correct.

i.e. x = 1, x = 0 is an extraneous solution.

5 0
3 years ago
Please help, and show work if you can!! :))
dmitriy555 [2]

Answer:

Step-by-step explanation:

ΔABD ≅ ΔCBD .

So AD = DC

8x - 4 = 3x + 1       {add 4 to both sides}

     8x = 3x + 1 + 4

     8x = 3x + 5 {subtract 3s from both sides}

  8x - 3x= 5

        5x = 5 {divide both sides by 5}

        x = 5/5

x = 1

8 0
3 years ago
Other questions:
  • Cellular phone service that charges per-minute will charge $5 for 50 minutes. How much would 1599 minutes cost?
    5·1 answer
  • Can i please get help with this question?
    10·2 answers
  • Graph the following points on the graphing calculator:
    6·2 answers
  • Which statement about equations and expressions is true? An example of an equation is 4.5 + x = 13.2 because it shows that two e
    15·2 answers
  • Which relation is a function?
    14·1 answer
  • Misty wants to save money to purchase a new bicycle that cost $279 she opens a savings account and deposit $7 per week based on
    11·1 answer
  • Here is a list of numbers: <br> 10, 16, 19, 16, 2, 4, 8 ,16 ,20 <br> State the median.
    11·2 answers
  • How do we represent a percent in a equation
    12·1 answer
  • A mom of 3 is pushing a cart with 3 children and groceries totaling 1600 kg at an
    7·2 answers
  • 13. Solve the system of equation using substitution.<br> 5x – 2y = 33<br> y = 7x – 39
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!