All categories

3 years ago

3x + 6y = 4y - 4

Mathematics

1 answer:

gulaghasi [49]3 years ago

4 0

Answer: y = 2/3x + 41/3

Step-by-step explanation:

First convert the equation into slope-intercept

3x + 6y = 4y - 4

-4y -4y

3x + 2y = -4

-3x -3x

2y = -3x - 4

y = -3/2x - 2

Perpendicular lines have a negative reciprocal for their slopes.

The negative reciprocal of -3/2 is 2/3

Now using the slope 2/3 you will use the formula y =mx +b and input the slope, and the x and y coordinates of the given point, (-10,7), to solve for the y-intercept.

7 = 2/3(-10) + b

7 = -20/ 3 + b

+ 20/3 + 20/3

b = 20/3 + 21/3 = 41/3

Since the the y-intercept is 41/3 then the equation will be , y = 2/3x + 41/3

You might be interested in

Solve x^2 - 3x - 10 = 0

Pachacha [2.7K]

Answer:

5 and -2

Step-by-step explanation:

${x}^{2} - 3x - 10 = 0$

${x}^{2} - 5x + 2x - 10 = 0$

$x(x - 5) + 2(x - 5) = 0$

$(x - 5)(x + 2) = 0$

$x - 5 = 0$

$x = 5$

$x + 2 = 0$

$x = - 2$

6 0

2 years ago

What is the equation?

Arturiano [62]

Answer:

You already wrote the equation

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

A construction crew has just finished building a road. The road is 10 5/6 kilometers long. If the crew worked for 5 days, how ma

anygoal [31]

Answer:

Step-by-step explanation:

10 5/6 km...in 5 days

(10 5/6) / 5 =

(65/6) / 5 =

65/6 * 1/5 =

65/30 =

2 1/6 kilometers per day <===

6 0

3 years ago

Help meeeeeee please :))))

maxonik [38]

Cant see the pic ya feel

6 0

2 years ago

The length of a rectangle is 3 more than 3 times its width. The perimeter of the rectangle is 174 inches. What is the length of

saveliy_v [14]

Answer:

l = w + 3cm

l = w + 3cmp = 2l + 2w = 58cm

l = w + 3cmp = 2l + 2w = 58cm 

l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:

l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:2l + 2w = 58 ⇒ 2(w + 3) + 2w = 58

l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:2l + 2w = 58 ⇒ 2(w + 3) + 2w = 58⇒ 2w + 6 + 2w = 4w + 6 = 58

l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:2l + 2w = 58 ⇒ 2(w + 3) + 2w = 58⇒ 2w + 6 + 2w = 4w + 6 = 58⇒ 4w = 52 ⇒ w = 13

l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:2l + 2w = 58 ⇒ 2(w + 3) + 2w = 58⇒ 2w + 6 + 2w = 4w + 6 = 58⇒ 4w = 52 ⇒ w = 13 

l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:2l + 2w = 58 ⇒ 2(w + 3) + 2w = 58⇒ 2w + 6 + 2w = 4w + 6 = 58⇒ 4w = 52 ⇒ w = 13 Plug back in:

l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:2l + 2w = 58 ⇒ 2(w + 3) + 2w = 58⇒ 2w + 6 + 2w = 4w + 6 = 58⇒ 4w = 52 ⇒ w = 13 Plug back in:l = (13cm) + 3cm = 16cm

l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:2l + 2w = 58 ⇒ 2(w + 3) + 2w = 58⇒ 2w + 6 + 2w = 4w + 6 = 58⇒ 4w = 52 ⇒ w = 13 Plug back in:l = (13cm) + 3cm = 16cmStep-by-step explanation:

I hope this helps you.

5 0

2 years ago