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Yuliya22 [10]
3 years ago
12

Assume that a varies directly as b. What is the constant of proportionality if a = 8 when b = 2?

Mathematics
2 answers:
Lena [83]3 years ago
8 0

Answer:

k = 4

Step-by-step explanation:

Given that a varies directly as b then the equation relating them is

a = kb ← k is the constant of variation

To find k use the condition a = 8 when b = 2

k = \frac{a}{b} = \frac{8}{2} = 4

lisov135 [29]3 years ago
8 0

Answer:

K = 4

Step-by-step explanation:

Given that varies a directly as b then the equation relating them is

Simply implies that a is directly proportional to b, that is increase in a will cause increase in, and decrease in a will cause decrease in b, and vice versa, where k remains constant.

a α b

a = kb, where k is constant

To find k use the condition a = 8 when b = 2, we make k the subject of the formular

K = a/b

K = 8/2

K = 4

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2 years ago
The midpoint of EF is M(4,10). One endpoint is E(2,6). Find the coordinates of the other endpoint F.
Licemer1 [7]
You will need to set equations to solve for x and y coordinate.
(2+x)/2=4
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The answer is A. (6,14)
5 0
3 years ago
42. The diagram represents a ramp in the shape of a right triangle and the lengths
oee [108]

The length of the ramp is  61 feet.

<h3>What is the length of the ramp?</h3>

In order to determine the  length of the ramp, Pythagoras theorem would be used.

The Pythagoras theorem: a² + b² = c²

where a = length

b = base

c = hypotenuse

√11² + 60²

√121 + 3600

√3721

= 61 feet

Please find attached the image of the ramp. To learn more about Pythagoras theorem, please check: brainly.com/question/14580675

5 0
2 years ago
What is the GCF of 8x3y2 + 20x2y4?
ArbitrLikvidat [17]
<span>8x^3y^2 = 4x^2y^2 (2x)
</span><span>20x^2y^4 = 4x^2y^2 (5y^2)

GCF = </span>4x^2y^2
6 0
3 years ago
Read 2 more answers
Please help me!! Thank you.
avanturin [10]
The answer is a because there is not an 8 on the chart
3 0
3 years ago
Read 2 more answers
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