In order to determine whether the equations are parallel, perpendicular, or neither, let's simply each equation into a slope-intercept form or basically, solve for y.

Let's start with the first equation.

$\frac{6x-5y}{2}=x+1$

Cross multiply both sides of the equation.

$6x-5y=2(x+1)$ $6x-5y=2x+2$

Subtract 6x on both sides of the equation.

$6x-5y-6x=2x+2-6x$ $-5y=-4x+2$

Divide both sides of the equation by -5.

$-\frac{5y}{-5}=\frac{-4x}{-5}+\frac{2}{-5}$ $y=\frac{4}{5}x-\frac{2}{5}$

Therefore, the slope of the first equation is 4/5.

Let's now simplify the second equation.

$-4y-x=4x+5$

Add x on both sides of the equation.

$-4y-x+x=4x+5+x$ $-4y=5x+5$

Divide both sides of the equation by -4.

$\frac{-4y}{-4}=\frac{5x}{-4}+\frac{5}{-4}$ $y=-\frac{5}{4}x-\frac{5}{4}$

Therefore, the slope of the second equation is -5/4.

Since the slope of each equation is the negative reciprocal of each other, then the graph of the two equations is perpendicular to each other.

5 0

1 year ago

Help me pls pls pls pls

Alex Ar [27]

5 2/4 because 3 and 2 are 5 and 1/4 plus 1/2 make up 2/4 meaning its either 5 2/4 or 5 1/2

now i get brainly <3

6 0

2 years ago

The random numbers below represent 10 trials of a simulation.

Makovka662 [10]

Answer:

The answer should be 410. I had this question in a test and yea!

Good luck

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Explain why the equation 5丨x丨-7=7 has only one solution?

Rama09 [41]

The answer to this question that you have me would be 5|x|-7=7 will equal to x=2

6 0

3 years ago

Read 2 more answers