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
Simora [160]
4 years ago
7

Gary and Richard are practicing tying knots. Richard already has 3 knots tied when Gary starts.

Mathematics
1 answer:
Artyom0805 [142]4 years ago
5 0
In graphs of linear relationships, you can always determine a proportional linear relationship by observing where the line crosses the y axis. If the line crosses through the origin, then the relationship is proportional. This means that the independent data(in this case time) can be multiplied by a constant factor to always get it's related dependent piece of data.

From the graph you might notice some data points for Gary: At 2mins he completes 1.5 knots or the ordered pair (2, 1.5). We see another data point at 4mins he completes 3 knots or the ordered pair (4,3). How about the ordered pair (6, 4.5)? Notice that if I multiply the "x" coordinate of all these ordered pairs by 0.75, I get the "y" coordinate. Or maybe another way to look at it, the "y" coordinate of each point on the line divided its corresponding "x" coordinate will always produce the same number, 0.75. This number, 0.75, is called the constant of proportionality.

So, the answer to this problem is choice "D"

Summary: To identify proportional linear relationship from a graph, look for the line that goes through the origin. To find the constant of proportionality, determine the coordinates of a convenient point on the line and divide the y coordinate by the x .
You might be interested in
Please help on a timer rn
Murljashka [212]

Answer:

A

Step-by-step explanation:

sorry, no explanation, your timed

6 0
3 years ago
Look at this triangle work out length BC
Andreas93 [3]

Answer:

The length of BC is √105 cm or 10.2 cm.

Step-by-step explanation:

You have to apply Pythagoras Theorem, c² = a² + b² where c represents hypotenuse, a and b are the sides :

{c}^{2}  =  { a}^{2}  +  {b}^{2}

let \:a =BC \:, \:  b = 8 \: , \: c = 13

{13}^{2}  =  {BC}^{2}  +  {8}^{2}

169 =  {BC}^{2}  + 64

{BC}^{2}  = 169 - 64

{BC}^{2}  = 105

BC =  \sqrt{105}

BC = 10.2 \: cm \: (3s.f)

7 0
3 years ago
Read 2 more answers
URGENT !!! 25 POINTS AND BRAINIEST FOR CORRECT ANSWER!!!
Ne4ueva [31]

Given a polynomial p(x) with leading coefficient a and solutions x_1,x_2,\ldots,x_n, we have

p(x)=a(x-x_1)(x-x_2)\ldots(x-x_n)

That's why we have to find the solutions first. We complete the square by adding 3 to both sides:

x^2-2x-2=0 \iff (x^2-2x-2)+3=3 \iff x^2-2x+1=3 \iff (x-1)^2=3

From here, we continue by taking the square root of both sides:

x-1=\pm 3 \iff x=1\pm\sqrt{3}

So, the two solutions are

x_1=1+\sqrt{3},\quad x_2=1-\sqrt{3}

Which yields the factorization

x^2-2x-2=(x-1-\sqrt{3})(x-1+\sqrt{3})

3 0
3 years ago
A​ new, simple test has been developed to detect a particular type of cancer. The test must be evaluated before it is put into u
choli [55]
Watch the picture for an explanation

8 0
3 years ago
What is an equation of the line that passes through the points (-3,-1) and<br> (-4, –4)?
olga55 [171]

Answer:

y = 3x + 8

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Help me please!!!!!
    6·1 answer
  • How do i solve |x|=2
    13·1 answer
  • Whats 5(3× + 4) - 3 (-2× +11)
    13·1 answer
  • Deb has of a brownie. She wants to divide it up into 's of a brownie so she can have it throughout the day. How many 's will she
    7·1 answer
  • Can someone help me with my math problem pls my teacher is on my back about this
    10·2 answers
  • Help me answer this question.
    14·1 answer
  • SOMEONE PLEASE HELP FOR A KISS
    13·1 answer
  • A rectangular area is to be enclosed using an existing
    6·1 answer
  • Plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
    15·1 answer
  • Please answer the question below and show working out pls
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!