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IceJOKER [234]
3 years ago
11

Y=3/8x describes a proportional relationship between x and y. What is the constant of proportionality?

Mathematics
1 answer:
vekshin13 years ago
4 0

Answer:

The constant of proportionality k is 3/8

Step-by-step explanation:

We are given y=\frac{3}{8}x which describes a proportional relationship between x and y. We need to define constant of proportionality

If y ∝ x then

y=kx where k is constant of proportionality.

Comparing the given y=\frac{3}{8}x with y=kx, we can find value of k i.e constant of proportionality.

So, k= 3/8

Hence, The constant of proportionality k is 3/8

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Can somebody please help me, this is due in 20 minutes​
Alex73 [517]

Answer:

61°

Step-by-step explanation:

In order for triangle LMN and PQR to be congruent, angle M and angle Q must equal. thus, we can set 2x-26=x+16

with basic algebraic manipulation, x=42. we then plug it back into the angle M or Q, getting angle M/Q= 58°

since this is a isoceles, the 2 base angle are identical, so 180= 58+2(angle P)

thus, angle P= 61

6 0
3 years ago
The two shapes have the same area. Work out the perimeter of the rectangle.
elena-14-01-66 [18.8K]
You need to do this in several steps.

1) Using the given length and width of the rectangle, find its area.
2) Then using the base and height of the triangle, find its area.
3) Since the areas are equal, set the expressions equal to each other, and solve for x.
4) Using the value of x you found, find the length and width of the rectangle and find its perimeter.

1) The area of the rectangle is A = LW
Area of Rectangle = (x + 2)x = x^2 + 2x

2) The area of the triangle is A = (1/2)bh
Area of Triangle = (1/2)(24)x = 12x

3) Set the areas equal and solve for x

x^2 + 2x = 12x

x^2 - 10x = 0

x(x - 10) = 0

x = 0 or x = 10

Since a width cannot be 0, we discard x = 0, and keep x = 10.

4) The length is x + 2 = 10 + 2 = 12
The width is x = 10

The perimeter is 2(L + W) = 2(10 + 2) = 2(22) = 44

The perimeter is 44 cm.
4 0
3 years ago
State the degree and name of the polynomial 9a³ + 4a²b² -2b²​
adell [148]
The highest exponent is 3, so the degree is 3

There are three terms so it is a trinomial.
3 0
3 years ago
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Andru [333]

Answer:

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Step-by-step explanation:

Volume of the swimming pool = l x b x h = 3000

Volume of the swimming pool = 50 x 25 x h = 3000

h = 2.4 meters

6 0
3 years ago
Simplify |8 - 12 | its geometry
Zinaida [17]

Answer:

-4

Step-by-step explanation:

8 0
3 years ago
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