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3 years ago

Determine if the given lines are parallel, perpendicular, or neither.

Mathematics

1 answer:

Leni [432]3 years ago

4 0

Answer:

The lines are parallel.

Step-by-step explanation:

Given the lines

$-2x-3y=9$

$4x+6y=24$

Writing the equations in the slope-intercept form

$y=mx+b$

where m is the slope and b is the y-intercept

$-2x-3y=9$

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

Thus, the slope = m₁ = -2/3

also

$4x+6y=24$

$y=-\frac{2}{3}x+4$

Thus, the slope = m₂ = -2/3

We know that parallel lines have equal slopes

m₁ = m₂

Thus, the lines are parallel.

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kaheart [24]

Answer:

If i am correct,

f(4) = -8

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Step-by-step explanation:

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4 years ago

Donna makes $9.75 per hour at her job. Kaylee makes $4 per hour at her job, and she receives a $0.25 raise each month.

Korvikt [17]

Answer:

The number of months it will take for Kaylee to make as much as Donna is 23 months

Step-by-step explanation:

Here we have amount Donna makes = $9.75/hour

Amount Kaylee makes = $4/hour with $0.25 monthly raise

Therefore, number of months, Y before Kaylee makes as much s Donna is given by the following expression;

4 + Y × 0.25 = 9.75

0.25·Y = 9.75 - 4 = 5.75

$Therefore, \ Y = \frac{5.75}{0.25} =23 \ months$

That means in 23 months, Kaylee will make as much as Donna per hour.

8 0

4 years ago

Find dy/dx for 4 - xy = y^3

storchak [24]

Answer:

$\frac{dy}{dx}=-\frac{y}{3y^2+x}$

Step-by-step explanation:

4-xy=y^3

dy/dx=?

$\frac{d(4-xy)}{dx}=\frac{d(y^3)}{dx}\\ \frac{d(4)}{dx}-\frac{d(xy)}{dx}=3y^{3-1}\frac{dy}{dx}\\ 0-(\frac{dx}{dx}y+x\frac{dy}{dx})=3y^2\frac{dy}{dx}\\ -(1y+x\frac{dy}{dx})=3y^2\frac{dy}{dx}\\ -(y+x\frac{dy}{dx})=3y^2\frac{dy}{dx}\\ -y-x\frac{dy}{dx}=3y^2\frac{dy}{dx}$

Solving for dy/dx: Addind x dy/dx both sides of the equation:

$-y-x\frac{dy}{dx}+x\frac{dy}{dx}=3y^2\frac{dy}{dx}+x\frac{dy}{dx} \\ -y=3y^2\frac{dy}{dx}+x\frac{dy}{dx}$

Common factor dy/dx on the right side of the equation:

$-y=(3y^2+x)\frac{dy}{dx}$

Dividing both sides of the equation by 3y^2+x:

$\frac{-y}{3y^2+x}=\frac{(3y^2+x)}{3y^2+x}\frac{dy}{dx}\\ -\frac{y}{3y^2+x}=\frac{dy}{dx}\\ \frac{dy}{dx}=-\frac{y}{3y^2+x}$

7 0

3 years ago

1. Rule: Each succeeding term is obtained by multiplying the two previous ones. Write the next five terms of the sequence. 1, 3,

kotegsom [21]

5, 7, 9, 11, 13 add 2

5 0

4 years ago

A group of gymnasts were asked to name their favorite piece of equipment. 0.33 of the gymnasts chose the vault,chose the beam, 0

jolli1 [7]

Answer:

beam, vault, uneven bars, floor

Step-by-step explanation:

<u><em>The complete question is</em></u>

A group of gymnasts were asked to name their favorite piece of equipment. 0.33 of the gymnasts chose the vault, 4/9 chose the beam, 0.08 chose the floor exercise, and 1/7 chose the uneven parallel bars. List their choices in order of preference from greatest to least.

step 1

Convert 4/9 and 1/7 to decimals in order to compare with the other values

4/9=0.44

1/7=0.14

step 2

Compare the values

0.44 > 0.33 > 0.14 > 0.08

therefore

The order of preferences from greatest to least is

beam, vault, uneven bars, floor

5 0

3 years ago