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Harrizon [31]
3 years ago
8

The graph of a proportional relationship will always be a straight line that passes through the origin. Why?

Mathematics
1 answer:
sashaice [31]3 years ago
5 0

Answer:

Being proportional between two entities, refers to the 'Constant of Proportionality' that would be fixed between them which establishes a relationship between them when multiplied or divided.

If we considered it on a graph, the 'Constant Of Proportionality' may take any real values between the coordinate pairs x and y [x,y]. As even 0 is a real number, it will surely be a constant of proportionality when multiplied since its product would result in itself (0). Hence, both x and y turns 0.

As the coordinates of the origin are always (0,0), the graph  (Or the slope) would surely pass through the origin.

Example :

If we consider a graph such that x=y.

And if we multiply or divide any real number (a) between them.

ax=ay

As a is a variable, and can take the value of 0, the graph can pass through the origin as x and y nullify becoming the coordinates of the origin.

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Kira walks 8hole and one half blocks in 17 minutes.if kira continues to walk at the steady pace, how many blocks will she walk e
ZanzabumX [31]
8 1-and-a-half blocks would be 12 blocks, and so 12/17, because 12 blocks in 17 mins., so you divide 12 by 17 to get ---- blocks per minute, which is 12/17 as a fraction, or approx. 0.705882353 blocks per minute.
7 0
2 years ago
If a fair die is rolled 3 times, what is the probability, to the nearest thousandth, of
seropon [69]

Answer:

0.347

Step-by-step explanation:

n = 3

p = 1/6

r = 1

Use binomial probability:

P = nCr pʳ qⁿ⁻ʳ

P = ₃C₁ (1/6)¹ (5/6)³⁻¹

P = 0.347

Or, using a calculator:

P = binompdf(n, p, r)

P = binompdf(3, 1/6, 1)

P = 0.347

7 0
3 years ago
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3 0
2 years ago
What is the equation of the line that passes through (–2, –3) and is perpendicular to 2x – 3y = 6?
lyudmila [28]
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6 0
2 years ago
Consider the circles shown. Circle A has a radius of 6 inches. Circle B has a radius 20% greater than
butalik [34]

Answer:

Answer should be D and E

Step-by-step explanation:

First, you need to figure out the radius of B.

As radius of A is 6 in, 20% of 6in would be 1.2in. So total radius of B = 6+1.2 = 7.2

Now you get the radius of B, calculate th area of B using the formula πr^2.

= π(7.2)^2 = 162.86 = area of B

Now, all answers except D and E is smaller than B. So, the answer would be D and E.

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2 years ago
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