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Thepotemich [5.8K]
2 years ago
5

Is the point (16,20) on line ℓ?​

Mathematics
1 answer:
kicyunya [14]2 years ago
7 0

Answer:

YES

Step-by-step explanation:

Find the equation of the line written as, y = kx. The graph shows a proportional relationship between y and x.

Constant of proportionality/unit rate/slope (k) = rise/run = ⁵/4.

Substitute ⁵/4 in y = kx

We would have:

y = ⁵/4x.

Using the equation of the line, we can know if a given point is on the line by plugging the value of x and y coordinates of the point into the equation. If it makes the equation true, then it is a point on the line. If it doesn't make the equation true, then it isn't a point on the line.

Let's plug in (16, 20) into y = ⁵/4x.

Thus substitute x = 16 and y = 20, we have:

[tex] 20 = \frac{5}{4}(16) [/trex]

[tex] 20 = (5)(4) [/trex]

[tex] 20 = 20 [/trex]

It makes the equation true. Therefore, the point, (16, 20) is a point on line l.

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If f(x) is the total cost, in dollars, of x cupcakes, which of the following statements best describes the meaning of f(5) = 12?
dezoksy [38]

Answer:

  • See below

Step-by-step explanation:

<u>This a form of the proportional relationship:</u>

  • f(x) = kx, where f(x) - total cost, k- cost of each item, x - number of items

<u>We have:</u>

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<u>It means:</u>

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2 years ago
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Yes D is the correct option !

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Answer:

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Step-by-step explanation:

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3 years ago
Which expression represents the number
frozen [14]

Answer:

8 + i

Step-by-step explanation:

What you need to simplify this is the following "definitions" of i to different powers.

i^1=i

i^2=-1

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Now we can sub these in for the various powers of i in our expression:

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Simplifying a bit:

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Since we know that the square root of i-squared is i, and that the square root of 49 is 7, we can get rid of the radial sign as follows:

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And the final answer, in a + bi form, is

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