All categories

2 years ago

Write an equation of the line that passes through (2, -5) and is parallel to the line 2y = 3x + 10

Mathematics

1 answer:

Zarrin [17]2 years ago

8 0

First you get "y" by itself. To do so you divide 2 on both sides.

y = 3/2x + 5

To write an equation of a line that is PARALLEL to this equation, the slopes have to be the SAME. So the slope is 3/2.

You then use the equation:

y = mx + b

SInce you know "m" you plug it in.

y = 3/2x + b

Now you need to find b. To do so you plug in the point (2, -5) into this equation.

-5 = 3/2(2) + b

-5 = 3 + b

-8 = b

Finally you plug in b and you get your new equation.

y = 3/2x - 8

You might be interested in

Please asap!!!!! (photo below)

Bond [772]

Answer:

132 degrees

Step-by-step explanation:

these angles are Alternate interior angles so angle A is congruent to angle B.

5x-18 = 3x+42

-3x -3x

2x-18 = 42

+18 +18

2x = 60

÷2 ÷2

x=30

A=5(30) -18

= 150-18

= 132 degrees

HOPE THIS HELPS

6 0

3 years ago

Let t = 4 and u = 6 + 2i. Find t – u

hjlf

Step-by-step explanation:

t = 4

u = 6 + 2

Find t - u

solu

t - u

= 4 - ( 6 + 2 ) = 4 - 8

Answer is -4

5 0

2 years ago

How do you know what angle degree goes on each corner?

Dahasolnce [82]

Let'sSo, we gave 2 parallel lines and 2 transversals, we have to match the angles.

Let's start with angle b,

$\begin{gathered} b+65=180\text{ (angles in a straight line)} \\ b=180-65 \\ b=115^o \end{gathered}$

Let's move on to angle e,

$\begin{gathered} e=b\text{ (Vertically opposite angles)} \\ \text{but b = 115}^o \\ e=115^o^{} \end{gathered}$

Let's move on to angle d,

$d=110^o\text{ (V}ertically\text{ opposite angles)}$

Moving to angle c, we have;

$c=45^o\text{ (Vertically opposite angles)}$

And, angle a;

$\begin{gathered} a=b\text{ (Alternate angles)} \\ a=115^o \end{gathered}$

8 0

1 year ago

An equation is shown below: 5(2x-8) +15 = -15 write the steps you will use to solve the equation and explain each step

faust18 [17]

Answer:

5(2x-8)+15=-15

10x-40+15=-15

10x-25=-15

+25 +25 (add 25 to both sides)

____________

10x=10

divide by 10 on both sides

x=1

6 0

2 years ago

Read 2 more answers

Solve equation <br> √ 13x+27=√ 4x

natima [27]

What you have to do is rearrange the equation by subtracting what is on the right of the equal sign from both sides of the equation

so it would be 4*x-13*x-(27)=0

5 0

2 years ago