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3 years ago

Are the lines with equations 2x -3y = 8 and -x + 4y=2 parallel, perpendicular, or neither

Mathematics

1 answer:

skad [1K]3 years ago

3 0

Answer:

neither

Step-by-step explanation:

First, arrange the equations to fit the y=mx + b format

1. 2x - 3y = 8

y = -2/3x - 8/3

2. -x + 4y = 2

y = 1/4x + 1/2

Equations that are parallel have the same slope.

In perpendicular equations, one slope would be x and the other would be -1/x (negative reciprocal)

The equations are neither parallel nor perpendicular, so neither.

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aleksley [76]

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<h3>What is maximum height?</h3>

The maximum height of an object is the highest vertical position along the trajectory of the object.

The given parameters are:

$u = 7.5ms^{-1}$ --- the initial velocity
$v = 0ms^{-1}$ --- the final velocity
$a =-g$ --- the acceleration

To calculate the height (s) of the ball, we make use of the following equation of motion:

$v^2 = u^2 + 2as$

Substitute known values

$0^2 = 7.5^2 - 2gs$

$0 = 56.25 - 2gs$

Collect like terms

$2gs = 56.25$

Substitute 9.8 for g

$2 \times 9.8 s = 56.25$

$19.6 s = 56.25$

Divide both sides by 19.6

$s = 2.87$

Hence, the maximum height reached is 2.87 meters

Read more about acceleration and maximum height at:

brainly.com/question/14638187

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