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3 years ago

What is the constant of proportionality, y/x

Mathematics

2 answers:

Dvinal [7]3 years ago

7 0

Answer:

k = 0.5

Step-by-step explanation:

Proportional relationship:

y = kx, where k- constant of proportionality

Using point on the graph (1, 0.5) to find the value of k:

0.5 = k*1
0.5 = k
k = 0.5

Charra [1.4K]3 years ago

6 0

Answer:

1/2

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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59+61+I = 180

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3 years ago

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Answer:

8/15

Step-by-step explanation:

Using Pythagorean Theorem the length of XZ is 15.

tan X = opposite / adjacent = YZ / XZ = 8 / 15.

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Answer:

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Step-by-step explanation:

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3 years ago

3x2 + 7x+3 5x2 + 12x

MaRussiya [10]

Final result :

19x2 + 119x - 28

————————————————

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3 years ago

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Given the vectors A⃗ and B⃗ shown in the figure ((Figure 1) ), determine the magnitude of B⃗ −A⃗. A is 28 degrees above the posi

Vlad [161]

This problem is represented in the Figure below. So, we can find the components of each vector as follows:

$\bullet \ cos(28^{\circ})=\frac{Adjacent}{Hypotenuse}=\frac{A_{x}}{44} \\ \\ \therefore A_{x}=44cos(28^{\circ})=38.85m \\ \\ \\ \bullet \ sin(28^{\circ})=\frac{Opposite}{Hypotenuse}=\frac{A_{y}}{44} \\ \\ \therefore A_{y}=44sin(28^{\circ})=20.65m$

$\bullet \ cos(56^{\circ})=\frac{Adjacent}{Hypotenuse}=\frac{-B_{x}}{26.5} \\ \\ \therefore B_{x}=-26.5cos(56^{\circ})=-14.81m \\ \\ \\ \bullet \ sin(56^{\circ})=\frac{Opposite}{Hypotenuse}=\frac{B_{y}}{26.5} \\ \\ \therefore B_{y}=26.5sin(56^{\circ})=21.97m$

Therefore:

$\vec{A}=(38.85, 20.65)m \\ \\ \vec{B}=(-14.81, 21.97)m$

So:

$\vec{B}-\vec{A}=(-14.81, 21.97)-(38.85, 20.65)=(-53.66,1.32)$

Finally, the magnitude is:

$\boxed{\left| \vec{B}-\vec{A}\right|=\sqrt{(-53.66)^2+(1.32)^2}=53.67m}$

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3 years ago

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