Write an equation in slope-intercept form for the line that satisfies each set of conditions.
parallel to y=2/3x - 10, x intercept at 9​

To use substitution to identify if two lines intersect,

1. Rearrange one of the two given equations so that only one variable is on one side of the equation with all other values on the other side of the equation. (if needed)

2. Plug this new equation into the other (in place of a variable)

3. Solve the equation to get the answer of one of the variables

4. Plug this variable into one of the two original equations and solve for the second variable (if needed)

5. Plug both variables back into one of the original equations. If both sides of the equation are equal, the two lines do coincide.

Equation 1: 2x+3y=9

Equation 2: x+8=3

1. Rearrange equation 2

x+8=3

x=3-8

x=-5

2. Plug -5 into the first equation as x

2x+3y=9

2(-5)+3y=9

3. Solve this equation

-10+3y=9

3y=9+10

3y=19

y=[tex]\frac{19}{3}[/tex]

4. Plug x and y back into the first equation

2x+3y=9

2(-5)+3([tex]\frac{19}{3}[/tex])=9

-10+19=9

9=9

Therefore, these two lines do coincide. The point of intersection is (-5,[tex]\frac{19}{3}[/tex]).

To use elimination to identify if two lines intersect:

1. Multiply one or both of the equations by a factor so both equations have either an x or y coefficient that are equal or opposite of each other (if needed)

2. Add or subtract the two equations to get rid of one variable

3. Solve this new equation for a variable

4. Substitute this variable into one of the two equations to solve for the other

5. Plug both variables back into one of the equations. If both sides are equal, the two lines do coincide.

Equation 1: 2x+3y=4

Equation 2: 4x+2y=3

1. For this specific system of equations, we would multiply the first equation by 2.

2x+3y=4

4x+6y=8

Notice how now, both equations have 4x in them, so we can subtract them:

2. Subtract the new equation from the second original equation

 4x+6y=8

- 4x+2y=3

       4y=5

3. Solve

4y=5

y=[tex]\frac{5}{4}[/tex]

3. Substitute y back into the first equations (any of the two equations will work) to solve for x

2x+3y=4

2x+3([tex]\frac{5}{4}[/tex])=4

2x+[tex]\frac{15}{4}[/tex]=4

2x=4-[tex]\frac{15}{4}[/tex]

2x=[tex]\frac{16}{4}[/tex]-[tex]\frac{15}{4}[/tex]

2x=[tex]\frac{1}{4}[/tex]

x=[tex]\frac{\frac{1}{4} }{2}[/tex]

x=[tex]\frac{1}{4}*\frac{1}{2}[/tex]

x=[tex]\frac{1}{8}[/tex]

4. Plug both variables back into the first equation (either equation works)

2x+3y=4

2([tex]\frac{1}{8}[/tex])+3([tex]\frac{5}{4}[/tex])=4

[tex]\frac{1}{4}[/tex]+[tex]\frac{15}{4}[/tex]=4

[tex]\frac{16}{4}[/tex]=4

4=4

Since the left side equals the right side, the two lines are coinciding.

To use graphing methods to identify if two lines coincide, we would just have to graph the line and identify if the two lines meet at a point of intersection/overlap each other.

I hope this helps!

Answer:

1. >

2.>

3.<

4. <

Step-by-step explanation:

I am doing it from top to bottom

I hope this helps! :)

Answer:

10,400

Step-by-step explanation:

(36+4)= 40

(262-6+4)= 260

(40)(260)= 10,400

Answer:

10,400

Step-by-step explanation:

Add 36 + 4

40

Now we do the second parentheses.

262 - 6 = 256

256 + 4 = 260

Now we multiply.

40 multiplied by 260 = 10,400

Hope I helped :)

Please consider Brainliest :)

Will he take the job?

He asked whether he would take the job.

Answer:

40 units

Step-by-step explanation:

An octagon is a polygon with 8 sides. A regular octagon is an octagon in which all their sides and angles are equal to each other.

Since the vertices of a regular octagon are located at (1, 4) and (4,8), hence the length of the side is gotten using the formula for calculating the distance between two points [tex]X(x_1,y_1)\ and\ Y (x_2,y_2)[/tex].

[tex]|XY|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Hence:

[tex]Length=\sqrt{(4-1)^2+(8-4)^2}=5\ units[/tex]

Since all the sides of a regular octagon are equal, therefore:

Perimeter = 8 × length = 8 × 5 = 40 units

Answer:

158.97 litros

Step-by-step explanation:

Multiply 42 by 3.785 to get 158.97.

Answer:

r = -3

Step-by-step explanation:

-3r + 4(-3r +2) = 53

-3r + -12r + 8 = 53

                -8     -8

-3r + -12r = 45

-15r = 45

Divide both sides by -15 to get

r = -3

Answer:

r = -3

Step-by-step explanation:

expand 4(-3r+2)

= -12r+8

add similar variables

= -15r+8=53

subtract 8 from both sides

= -15r+8-8=53-8

simplify

= -15r=45

divide 45 by -15

= -3

Answer:

The average amount of debt John collected per month is $20/ month

Step-by-step explanation:

Given;

total debt collected by John, = $70.00

total number of months, = 3 1/2 months  = 7/2 months

The average amount of debt John collected per month is given by;

[tex]Average \ amount \ per \ month = \frac{Total \ amount \ of \ debt}{total \ number \ of \ months} \\\\Average \ amount \ per \ month =\frac{70}{1} *(\frac{2}{7} )\\\\Average \ amount \ per \ month = \$20 \ / month[/tex]

Therefore, the average amount of debt John collected per month is $20/ month

Answer:

-8

Step-by-step explanation:

Answer: Choice A

Explanation:

The sequence converges to a nonzero value, so as n gets very large, the partial sums will grow forever (since we're effectively adding at least 1 to each term regardless how large n gets)

The reason why [tex]s_n[/tex] approaches 1 is because the 1/n term goes to 0 when n gets very large.

Answer:

a

This process follows is a binomial  process

b

This process is not a binomial  process

Step-by-step explanation:

Considering the first statement

One basketball player attempts 10 free throws and the number of successful attempts is totaled.

  This process is a binomial  process because

One basketball player attempts 10 free throws and the number of successful attempts is totaled.

   This process is not  a binomial  process because chance that is the probability of success and failure will remain constant throughout the trial is not equal (what this means is that given the number of player is more than on their probability of success and failure will differ.)

Answer:

1

Step-by-step explanation:

The equation would look like this: ¾ ÷ ¾

When dividing fractions, you always flip the second one to receive the reciprocal, so the equation now looks like this: ¾ ÷ 4/3

If you cross simplify, the answer will end up being 1.

Step-by-step explanation:

total value would be 20,000

place value is hundreds of thousands

that's my opinion cuz I didn't fully understand it but I tried thanks

Answer:

D

Step-by-step explanation:

It looks right

sorry if it’s wrong

Answer:

B. 1,500 millimeters

Answer:

the answer is $332135 for this question

Answer:

44 feet/hour

Step-by-step explanation:

6mi/month(5280ft/1mi)(1month/30days)(1day/24hrs)

Assuming the month has 30 days, object moves at 44 feet/hour. You want all the units to cancel till you get the ones you need, in this case feet/hr.

Answer:

hope that will help you

w = ( p - 2k )/2

Hi there !

p = 2(k + w)

2k + 2w = p

2w = p - 2k

w = ( p - 2k )/2

Good luck !

Find the LCM

3 = 3 times 1

5 = 5 times 1

15 = 5 times 3

25 = 5 times 5

Because they have one 5 and one 3 in common...

5 times 3 times 5 = 75.

She has 75 coins.

Answer:

√36, √17, 0.33333...., 1.2874....

Step-by-step explanation:

irrational numbers - a number that cannot be exactly expressed as a ratio of two integers.

Given:

Step by step explanation:

Step 1:

[tex]4w² − v + 3u[/tex]

Step 2:

[tex] = {4( - 4)}^{2} - 5 + 3 \times 2[/tex]

Step 3:

[tex] = 4(16) - 5 + 6[/tex]

Step 4:

[tex] = 64 - 5 + 6[/tex]

Step 5:

[tex] = 64 + 1[/tex]

Step 6:

[tex] = 65✓[/tex]

Step-by-step explanation:

therefore the answer is 25/9

Answer:

Step-by-step explanation:

B

Step-by-step explanation:

Answer:

g(x)=|(2)(x+4)|-2

Step-by-step explanation:

B=0.5

h= -4

k= -2

Answer:

Step-by-step explanation:

6x + 10y = 12

-20x - 10y = 30

-14x = 42

x = -3

4(-3) + 2y = -6

-12 + 2y = -6

2y = 6

y = 3

(-3, 3)

Answer:

85/50. 35/50

You would times 17/25 by 5 and you would get 85/50 which would simplify to 1 35/50

you would multiply 7/10 by 5 to get 35/50