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
Aleksandr [31]
3 years ago
5

If (20,8) and (25, 10) belong to a proportional relationship, what is the constant of proportionality

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
4 0

Answer:

The proportionality constant is 2/5

Step-by-step explanation:

Here, we want to get the proportionality constant

Let us view the two points as being points on a line

The constant of proportionality will be the slope of the line that connects the two points

Mathematically, we can use the formula for the slope of a line

We have this as;

m = (y2-y1)/(x2-x1)

(x1,y1) = (20,8)

(x2,y2)= (25,10)

m = (10-8)/(25-20) = 2/5

You might be interested in
Kenneth signed up to receive Internet service for $13 per month plus a $30 start-up fee. Which equation could be used to find th
zimovet [89]

The equation 13x+30=134 can be used to find the number of months Kenneth can receive internet service.

Step-by-step explanation:

Given,

Start up fee to receive internet = $30

Per month charges = $13

Total amount = $134

Let,

x be the number of months.

y be the total cost.

y = 13x+30

Putting y=134

134=13x+30\\13x+30=134

The equation 13x+30=134 can be used to find the number of months Kenneth can receive internet service.

Keywords: equation, addition

Learn more about addition at:

  • brainly.com/question/1836777
  • brainly.com/question/1993757

#LearnwithBrainly

7 0
2 years ago
The line integral of (2x+9z) ds where the curve is given by the parametric equations x=t, y=t^2, z=t^3 for t between 0 and 1. Pl
Naya [18.7K]
Let r = (t,t^2,t^3)

Then r' = (1, 2t, 3t^2)

General Line integral is:
\int_a^b f(r) |r'| dt

The limits are 0 to 1
f(r) = 2x + 9z = 2t +9t^3
|r'| is magnitude of derivative vector \sqrt{(x')^2 + (y')^2 + (z')^2}

\int_0^1 (2t+9t^3) \sqrt{1+4t^2 +9t^4} dt

Fortunately, this simplifies nicely with a 'u' substitution.

Let u = 1+4t^2 +9t^4

du = 8t + 36t^3  dt

\int_0^1 \frac{2t+9t^3}{8t+36t^3} \sqrt{u}  du \\  \\ \int_0^1 \frac{2t+9t^3}{4(2t+9t^3)} \sqrt{u}  du \\  \\  \frac{1}{4} \int_0^1 \sqrt{u}  du

After integrating using power rule, replace 'u' with function for 't' and evaluate limits:
=\frac{1}{4} |_0^1 (\frac{2}{3}) (1+4t^2 +9t^4)^{3/2} \\  \\ =\frac{1}{6} (14^{3/2} - 1)
7 0
3 years ago
Three less than one-fourth of the product of eight thirds and nine. Please write equation, then solve.
kenny6666 [7]
Put simply, you have to work backwards in making the equations. Start with the product of 8/3 and 9.
\frac{8}{3}*9

 Next take 1/4 of that. This can be done in two ways, either multiplying by 1/4:
(\frac{8}{3}*9)*\frac{1}{4}

, or dividing everything by 4.
(\frac{8}{3}*9)/4

Finally, subtract three.

The final equation would read:
((\frac{8}{3}*9)*\frac{1}{4})-3



Using PE(M/D)(A/S), we'd start with \frac{8}{3}*9

3 and 9 cancel out to be 1 and 3, leaving us with \frac{8}{1}, or 8, and 3 and this part of the equation reading 8*3, which is 24.

The next step is \frac{24}{4}, which is 6.

Lastly we subtract 3 from six, leaving us 3.
7 0
3 years ago
Read 2 more answers
ASAP PLEASE HELP<br><br> LOOK AT THE PICTURE
Gelneren [198K]

Answer:

Step-by-step explanation:

Sin(x) = opposite / hypotenuse.

opposite = 28  The opposite is not connected to the angle.

hypotenuse= 35

Sin(x) = 28/35 = 4/5

Cos(x) = adjacent / hypotenuse.

The adjacent side is part of the angle

adjacent = 21

hypotenuse = 35

Cos(x) = 21 / 35 = 3/5

Tan(x) = opposite / adjacent

opposite = 28

adjacent = 21

Tan(x) = 28/21

Tan(x) = 4/3

3 0
3 years ago
(25POINTS)Helpppp quickkk!!!The probability of getting a number divisible by 3 is 3/10 using a game spinner.The denominator of t
olganol [36]

Answer:

10

Step-by-step explanation:


6 0
2 years ago
Read 2 more answers
Other questions:
  • Number 23 pleaseeeee
    15·1 answer
  • Which of the following graphs is decreasing for all values of x?
    9·1 answer
  • Simplify (-5) + (-2) - (-7) - (+9)
    5·1 answer
  • A sprinkler head had a 90-degree rotation and shoots 15 feet long. How much area is covered if there are 12 90-degree heads in o
    12·1 answer
  • How do you do 4x - 9 = 6x - 13? what do you subtract from both sides?
    10·2 answers
  • HELP PLEASE ON 13- A, B, C<br><br>Can anyone tell me if the ones I did are right
    13·1 answer
  • Convert 15 kg/L to g/mL
    13·2 answers
  • *GEOMETRY*
    13·1 answer
  • Example: Find the circumference of the circle with a radius of 5 inches. Solution: Step 1: Write down the formula: IC = 2tr Step
    15·1 answer
  • p+3w=-79-5p+w=-5Solve the system using the elimination method if there is no solution put no solution if there is infinite solut
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!