how to find the distance between the two parallel lines: y=2x-3 and y= 2x+7

Answer:

slope = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (6, - 12 ) and (x₂, y₂ ) = (15, - 3 )

m = [tex]\frac{-3-(-12)}{15-6}[/tex] = [tex]\frac{-3+12}{9}[/tex] = [tex]\frac{9}{9}[/tex] = 1

Answer:

Step-by-step explanation:in the picture

Answer:x=[tex]\frac{13}{2}[/tex] or x= 6.5 either way x equals to the number 6.5 .

Step-by-step explanation:The image below will explain how you solve the problem also thanks for the person above me for the idea of answering this question.

HOPE THIS HELPS

:)

Also website as seen in the photo is symbolab

Applying Newton's Second Law, it is found that the force, in Newtons, is given by:

[tex]F = 10[v(21) - v(16)][/tex]

Newton's Second Law states that Force, in Newtons, is mass times acceleration, that is:

[tex]F = ma[/tex]

In this problem, mass of 50 kg, thus [tex]m = 50[/tex]

Acceleration is change in velocity divided by change in time, that is:

[tex]a = \frac{\Delta_v}{\Delta_t}[/tex]

In this problem, we don't know the velocities, but know that time is from 16s to 21s, thus:

[tex]\Delta_t = 21 - 16 = 5[/tex]

[tex]\Delta_v = v(21) - v(16)[/tex]

Thus, the force is given by:

[tex]F = ma[/tex]

[tex]F = m\frac{\Delta_v}{\Delta_t}[/tex]

[tex]F = 50\frac{[v(21) - v(16)]}{5}[/tex]

[tex]F = 10[v(21) - v(16)][/tex]

A similar problem is given at https://brainly.com/question/18801986

Answer:

x-int: (-2,0)

y-int: (0,1.333)

Step-by-step explanation:

Answer:

a) - 10m

b) - $5000

c) - 40°

d) + $2000

Step-by-step explanation:

I hope this help you

Answer:

The correct ratio is 7:8, so no, Emma is not correct.

Hello cayleahm253!

[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]

There are 35 boys in 6th grade. The number of girls in 6th grade is 40. Emma says that means the ratio of the number of boys in 6th grade to the number of girls in 6th grade is 3:4. Is Emma correct? If not, what is the correct answer?

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

Okay, so we can see from the question that there are 35 boys & 40 girls in the 6th grade. So the ratio of boys is to girls will be 35:40.

__________________

Solving...

[tex]35 : 40 \\ = \frac{35}{40} \\ \\ \sf \: Cancel \: out \: 35 \: and \: 40 \: to \: get \: 7 \: and \: 8.\\ \\ = \frac{7}{8} \\ = \huge \boxed{\boxed{\bf \: 7 : 8}}[/tex]

__________________

__________________

Hope it'll help you ッ

ℓucαzz

Answer:

By the way that the line is facing.

Answer:

x=6

Step-by-step explanation:

2x+5=17            

-5       -5    

2x=17-5

2x=12

x=6    

Answer:

2x+5=17 is x = 6, so 17 --> -5 --> ÷2 I hope this helps! :D

Answer:

y=2x+3

Step-by-step explanation:

you should see how to get from one number to the next.

I noticed by multiplying an input by 2 then adding 3 I reach my output.

I would use this for each input to find that it would equal my output every time I used the rule

Answer:

y=-3.75x-2.25

Step-by-step explanation:

Step 1: Find the slope (m) using the Slope Formula, Y2-Y1/X2-X1

(-6)-(9)/(1)-(-3) = -15/4 = -3.75

Step 2: Find the Y-intercept (b) using the Slope Intercept Formula, y=mx+b

9=-3.75*(-3)+b

9=11.25+b

b=9-11.25

b=-2.25

Step 3: Plug in your slope (m) and Y-intercept (b) values into the Slope Intercept Formula, y=mx+b

y=-3.75x-2.25

Step 4: Plug your X values into the formula, you should get your Y values after solving

y=-3.75(-3)-2.25=11.25-2.25=9 (-3, 9)

y=-3.75(1)-2.25=-3.75-2.25=-6 (1, -6)

Data can be represented in tables, charts, and graphs.

Answer:

1000000 chevginis

Step-by-step explanation:

Answer:

1000000 sports cars (Chevrolet and Lamborghinis)

Step-by-step explanation:

1000x1000

Answer: The sampling distribution of p is the probability distribution of all possible values of the sample proportion p.

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The criteria used to prove the given triangles congruent is :

Answer:

it would be:

Step-by-step explanation:

: 14 + 14 + 14 =?

:?=42°

Answer:

80

Step-by-step explanation:

20% of 400 is

= 20/100 * 400

= 80

Answer:

Step-by-step explanation:

Multiply the number of containers by the amount in each to find the total amount of sugar:

Answer:

substitute the values given,

= (2a + b) - (a - 2b)

= (2(x + 2y) + x - 2y) - (x + 2y - 2(x - 2y))

= (2x+4y+x-2y) - (x+2y-2x+4y)

= (3x+2y) - (-x+6y)

= 3x + 2y + x - 6y

= 4x - 4y

then,

(2a+b) - (a-2b) = 4x - 4y

Answer:

$1165

Step-by-step explanation:

30x35 = 1050

1050+115=1165

Answer:

Los datos son piezas individuales de información fáctica registradas y utilizadas con fines de análisis. Es la información en bruto a partir de la cual se crean las estadísticas. Las estadísticas son el resultado del análisis de datos: su interpretación y presentación. ... A menudo, estos tipos de estadísticas se denominan "datos estadísticos".

Step-by-step explanation:

Answer:

Un dato estadístico es cada uno de los valores que se ha obtenido al realizar un estudio estadístico

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

0.8%

Step-by-step explanation:

4*20%=4*(1/5)=4/5=0.8%

Answer:

h + 5

Step-by-step explanation:

increased = add so yeah...

Answer:

x = 1

Step-by-step explanation:

The absolute value always gives a positive value. However, the expression inside can be positive or negative , so

4x - 13 = 5x + 4 ( subtract 4x from both sides )

- 13 = x + 4 ( subtract 4 from both sides )

- 17 = x

OR

- (4x - 13) = 5x + 4 , simplify left side

- 4x + 13 = 5x + 4 ( subtract 5x from both sides )

- 9x + 13 = 4 ( subtract 13 from both sides )

- 9x = - 9 ( divide both sides by - 9 )

x = 1

As a check

Substitute these values into the equation and if both sides are equal then they are solutions.

x = - 17

left side = | 4(- 17) - 13 | = | - 68 - 13 | = | - 81 | = 81

right side = 5(- 17) + 4 = - 85 + 4 = - 81 ≠ 81

Then x = - 17 is an extraneous solution

x = 1

left side = | 4(1) - 13 | = | 4 - 13 | = | - 9 | = 9

right side = 5(1) + 4 = 5 + 4 = 9

Then solution is x = 1

Answer:

Parallel

Step-by-step explanation:

y=5x+10

y=5x-15

Answer:

12

(If needed explanation ask in the comments! ty)

Hope This Helps! •v•

Answer:

100000 $

Step-by-step explanation:

Multiply:

1000*10

100000 $

Answer:  The Van needs 18 gallons of gas to travel 360 miles.