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2 years ago

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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What is -2b + 4> -6 is ?

AveGali [126]

Answer:

b>5

Step-by-step explanation:

*Subtracted 4 from both sides and then divided both sides by 2*

$-2b+4>-6\\-4 -4\\-2x>-10\\\frac{-2b}{-2} >\frac{-10}{-2} \\b>5$

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3 years ago

Write 82,700,000 in scientific notation.

aleksandr82 [10.1K]

Answer:

8.27 x 10^7

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Move the decimal over 7 times

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3 years ago

What is the value of y if f||n<br> ?????

Elenna [48]

Answer:

y = 148°

Step-by-step explanation:

4x - 18 = 2x + 12 (alternate exterior angles are congruent)

Collect like terms

4x - 18 = 2x + 12

4x - 2x = 18 + 12

2x = 20

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Plug in the value of x

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3 years ago

Use the algebraic description (x, y) ➡️ (x - 5, y + 2) for the points N (2, 2), P (4, 2) and Q(1, -1) and write the coordinates

dezoksy [38]

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Answer:

N'(-3, 4), P'(-1, 4), Q'(-4, 1)

Step-by-step explanation:

The transformation is telling you to subtract 5 from each x-coordinate, and add 2 to each y-coordinate.

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3 years ago

Approximately 40% of the calls to an airline reservation phone line result in a reservation being made. (round to three decimal

IRISSAK [1]

Answer:

The probability that none of the 10 calls result in a reservation is 0.60%. In turn, the probability that at least one call results in a reservation being made is 99.40%.

Step-by-step explanation:

Since approximately 40% of the calls to an airline reservation phone line result in a reservation being made, supposing an operator handles 10 calls, to determine what is the probability that none of the 10 calls result in a reservation, and what is the probability that at least one call results in a reservation being made, the following calculations must be performed:

0.6 ^ 10 = X

0.006 = X

0.006 x 100 = 0.60%

Therefore, the probability that none of the 10 calls result in a reservation is 0.60%.

100 - 0.60 = 99.40

In turn, the probability that at least one call results in a reservation being made is 99.40%.

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2 years ago

Is the point (16,20) on line ℓ?​

Is the point (16,20) on line ℓ?