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DENIUS [597]
3 years ago
13

The graph below shows a proportional relationship between yyy and xxx.

Mathematics
2 answers:
Elena-2011 [213]3 years ago
8 0

Answer:

k = 40

Step-by-step explanation:

Given

The attached graph

Required

Calculate the constant of proportionality.

Represent the required constant with k.

Such that:

k = \dfrac{y}{x}

Pick any two corresponding values of x and y

(x,y) = (1,40)

This means that:

x = 1\ and\ y = 40

k = \dfrac{y}{x} becomes

k = \frac{40}{1}

k = 40

sashaice [31]3 years ago
8 0

Answer:

3.5

Step-by-step explanation:

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wariber [46]
-2.2 + 0.3z= 3 -0.5z -0.8z \\ \\ 0.3z - 2.2 = 3 - 0.5z - 0.8z \\ \\ 0.3z - 2.2 = 3 - 1.3z \\ \\ 0.3z = 3 - 1.3z + 2.2 \\ \\ 0.3z = -1.3z + 5.2 \\ \\ 0.3z + 1.3z = 5.2 \\ \\ 1.6z = 5.2 \\ \\ z = 3.25 \\ \\

The final result is: z = 3.25.
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4 years ago
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Determine if the slope of the line graphed below is either positive or negative. Then find the slope (m) of the line
garri49 [273]

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Step-by-step explanation:

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3 years ago
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How would I put this into a solvable equation, m= ak/n?
12345 [234]

The given equation is

m = ak/n

We want to solve for k

The first step is to multiply both sides of the equation by n. We have

m * n = ak/n * n

mn = ak

The next step is to divide both sides of the equation by a. We have

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7 0
1 year ago
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Basile [38]

Answer:

                 x=8\frac34\ \,,\quad y=8\frac12

Step-by-step explanation:

             \Delta TRS\sim \Delta LJK \quad\implies\quad \dfrac{|TR|}{|LJ|}=\dfrac{|RS|}{|JK|}=\dfrac{|ST|}{|KL|}\\\\\dfrac{4}{7}=\dfrac{5}{x}=\dfrac{6}{y+2}\\\\\\\dfrac{4}{7}=\dfrac{5}{x}\quad\implies\quad4x=5\cdot7\quad\implies\quad x=\dfrac{35}4=8\frac34\\\\\\\dfrac{5}{x}=\dfrac{6}{y+2}\quad\implies\quad 5(y+2)=6\cdot\dfrac{35}4\\\\5y+10=3\cdot\dfrac{35}2\\\\5y\ =\ \dfrac{3\cdot35}2-10\\ \div5\qquad\quad \div5\\\\y=\dfrac{3\cdot7}2-2=10\frac12-2=8\frac12

3 0
3 years ago
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