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fomenos
3 years ago
7

The variable y has a proportional relationship with x as suggested by the graph. Use the graph to find the constant of proportio

nality.

Mathematics
2 answers:
Alex Ar [27]3 years ago
5 0

Answer:

28

Step-by-step explanation:

taurus [48]3 years ago
4 0

Step-by-step explanation:

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Proportional Relationships

A proportional relationship is one in which two quantities vary directly with each other. We say the variable y varies directly as x if:

y=kx

for some constant k , called the constant of proportionality .

(Some textbooks describe a proportional relationship by saying that " y varies proportionally with x " or that " y is directly proportional to x .")

This means that as x increases, y increases and as x decreases, y decreases-and that the ratio between them always stays the same.

The graph of the proportional relationship equation is a straight line through the origin.

plz plz plz mark as brainliest

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A rectangular field has an area of 162 m2.
Fed [463]

Answer:Length: 27m

Step-by-step explanation:

  1. the formula of area of rectangle is : width*length
  2. so we just replace the values in the formula
  3. 162=6*Length
  4. Length=162/6
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3 0
3 years ago
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The perimeter of a rectangular field is 60 meters. Its area is 200 square meters. Find its dimensions.
Vanyuwa [196]

Answer:

20 m by 10 m

Step-by-step explanation:

let w be width and l be length , then

2(l + w) = 60 ( divide both sides by 2 )

l + w = 30 ( subtract w from both sides )

l = 30 - w → (1)

lw = 200 → (2)

Substitute l = 30 - w into (2)

w(30 - w) = 200 ← distribute parenthesis on left side

30w - w² = 200 ( subtract 200 from both sides )

30w - w² - 200 = 0 ( multiply through by - 1 )

w² - 30w + 200 = 0 ← in standard form

(w - 10)(w - 20) = 0 ← in factored form

Equate each factor to zero and solve for w

w - 10 = 0 ⇒ w = 10

w - 20 = 0 ⇒ w = 20

Substitute these values into (1)

l = 30 - 10 = 20

l = 30 - 20 = 10

dimensions of field is 20 m by 10 m

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2 years ago
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Factorization of nine using exponents from least to greatest
natta225 [31]

The only way to write 42 as the product of primes (except to change the order of the factors) is 2 × 3 × 7. We call 2 × 3 × 7 the prime factorization of 42. It turns out that every counting number (natural number) has a unique prime factorization, different from any other counting number. This fact is called the Fundamental Theorem of Arithmetic. Fundamental theorem of arithmetic

In order to maintain this property of unique prime factorizations, it is necessary that the number one, 1, be categorized as neither prime nor composite. Otherwise a prime factorization could have any number of factors of 1, and the factorization would no longer be unique.

Prime factorizations can help us with divisibility, simplifying fractions, and finding common denominators for fractions.

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3 years ago
What is the slope of a line that is perpendicular to the line of 2x+4y=12
kipiarov [429]

make the equation slope-intercept form:

subtract 2x from both sides:

4y = -2x + 12

divide by 4 to get y by itself:

y = -1/2x + 3

to make the new line perpendicular to the existing line, completely flip the slope of the line:

y = 2x + 3

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3 years ago
What is the area of the polygon defined by the points A(12, 20), B(20, 20), C(20, 8), and D(12, 8)? a 96 square units b 132 squa
Leto [7]

Answer:

  a.  96 square units

Step-by-step explanation:

The figure is a rectangle with width AB = (20-12) = 8 units and height BC = (20-8) = 12 units.

The area of the rectangle is (8 units)×(12 units) = 96 square units.

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3 years ago
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