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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 x = 10, find the value of:<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B2%20%7Bx%7D%5E%7B2%7D%28x%20-%205%29%20%7D%7B10x
vesna_86 [32]

Answer:

10

Step-by-step explanation:

\frac{2(10)^2(10-5)}{10(10)}

Square the 10.

\frac{2(100)(10-5)}{10(10)}

Subtract 10 with 5.

\frac{2(100)(5)}{10(10)}

Multiply the numbers in the numerator.

\frac{2(500)}{100}

\frac{1000}{100}

Divide 1000 with 100.

=10

4 0
2 years ago
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Which is a simplified form of the expression 3(m + 1) + 2m?
kompoz [17]

Answer:

D,  5m+3

PLEASE MARK BRAINLIEST

Step-by-step explanation:

Distribute:

=(3)(m)+(3)(1)+2m

=3m+3+2m

Combine Like Terms:

=3m+3+2m

=(3m+2m)+(3)

=5m+3

4 0
3 years ago
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Which Quadrant does the point (-3, 4) belong to? A. Quadrant I B. Quadrant II C. Quadrant III D. Quadrant IV
lubasha [3.4K]
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In circle P, what is the measure of ADB?
Arada [10]

Answer:

  arc ADB = 270°

Step-by-step explanation:

Arc ADB is the remainder of the circle after subtracting 90° arc AB. Its measure is ...

  ADB = 360° -90° = 270°

3 0
3 years ago
Consider the equations 4(x-3)=16 and 4x-3=16 do they have the same solution? Why or why not ?
Sladkaya [172]

Answer: Both the equations when solved have different answers, the solutions for both the equation are given below. In the the first equation  4 (x-3)=16 , 4 is multiplied with both the terms in the bracket. Whereas, in the second equation 4x- 2 = 16  there is no variable to multiply with the LHS equation

Solution:

4 (x-3)=16

4x - 12 = 16

4x = 16 + 12

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x = 7


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4x = 19

x = 19/4

x = 4.75

4 0
3 years ago
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