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olchik [2.2K]
2 years ago
10

Use the table to write a linear function that relates y to x.

Mathematics
1 answer:
blsea [12.9K]2 years ago
4 0

Answer:

y = - \frac{2}{3} x

Step-by-step explanation:

the equation of a linear function in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 8, 2) and (x₂, y₂ ) = (1, - 4) ← 2 ordered pairs from the table

m = \frac{-4-2}{1-(-8)} = \frac{-6}{1+8} = \frac{-6}{9} = - \frac{2}{3}

the ordered pair (0, 0 ) indicates the line crosses through the origin, then

c = 0

y = - \frac{2}{3} x + 0 , that is

y = - \frac{2}{3} x ← equation of linear function

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Answer:

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from the results obtained

The conclusion is affected by the significance level because : 0.1 < p > 0.01

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Answer:

Step-by-step explanation:

Given:

Angle, θ = 35°

Vertical distance, Δx = 6 m

Diameter, d = 1.9 cm

= 0.019 m

A.

When the water leaves the sprinkler, it does so at a projectile motion.

Therefore,

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(t × Vox) = 2Vo²(sin θ × cos θ)/g

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= 62.57

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B.

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Diameter, D = 3 × 10^-3 m

As = π × (3 × 10^-3)²/4

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= area, As × velocity, Vo

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The rate at which volume is flowing in the 4 sprinklers = 4 × 0.0559

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C.

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Velocity of the water, Vw = volumetric flowrate/area

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3 years ago
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