6x - 2 3x + 7 18. Identify the segment bisector of RS. Then find RS. (Section 1.3) M R S​

Answer:

12

Step-by-step explanation:

first you add 5+7=12 but, it won't be negative because negative and negative cancel each other out making it positive 12 :)

Answer:

See Explanation

Step-by-step explanation:

1.

Given

[tex]y = 6x - 11[/tex]

[tex]-2x - 3y = -7[/tex]

Solve for x and y

In the first equation, we have: [tex]y = 6x - 11[/tex]

Substitute [tex]6x - 11[/tex] for [tex]y[/tex] in the second

[tex]-2x - 3y = -7[/tex]

[tex]-2x - 3(6x - 11) = -7[/tex]

[tex]-2x - 18x + 33 = -7[/tex]

[tex]-20x+ 33 = -7[/tex]

[tex]-20x= -7-33[/tex]

[tex]-20x= -40[/tex]

Divide through by -1

[tex]20x = 40[/tex]

[tex]x = 40/20[/tex]

[tex]x = 2[/tex]

Recall that:

[tex]y = 6x - 11[/tex]

[tex]y = 6 * 2 - 11[/tex]

[tex]y = 1[/tex]

2,

Given

[tex]-3x - 3y = 3[/tex]

[tex]y = -5x - 17[/tex]

In the second equation, we have: [tex]y = -5x - 17[/tex]

Substitute [tex]-5x - 17[/tex] for [tex]y[/tex] in the first equation

[tex]-3x - 3y = 3[/tex]

[tex]-3x - 3(-5x - 17) = 3[/tex]

[tex]-3x + 15x + 51 = 3[/tex]

[tex]12x + 51 = 3[/tex]

[tex]12x=3 - 51[/tex]

[tex]12x=-48[/tex]

[tex]x = -48/12[/tex]

[tex]x = -4[/tex]

Recall that: [tex]y = -5x - 17[/tex]

[tex]y = -5 * -4 - 17[/tex]

[tex]y = -3[/tex]

3. Given

[tex]-4x + y = 6[/tex]

[tex]-5x - y = 21[/tex]

Add both equations to eliminate y

[tex]-4x - 5x + y - y = 6 + 21[/tex]

[tex]-9x= 27[/tex]

Solve for x

[tex]x = 27/-9[/tex]

[tex]x = -3[/tex]

Substitute -3 for x in the first equation: [tex]-4x + y = 6[/tex]

[tex]-4 * -3 + y = 6[/tex]

[tex]12 + y = 6[/tex]

[tex]y = 6 - 12[/tex]

[tex]y = -6[/tex]

4. Given

[tex]-7x - 2y = -13[/tex]

[tex]x - 2y = 11[/tex]

Make x the subject in the second equation

[tex]x - 2y = 11[/tex]

[tex]x = 11 + 2y[/tex]

Substitute 11 + 2y for x in the first equation

[tex]-7x - 2y = -13[/tex]

[tex]-7 (11 + 2y) - 2y = -13[/tex]

[tex]-77 -14y - 2y = -13[/tex]

[tex]-77 -16y = -13[/tex]

[tex]-16y = -13 + 77[/tex]

[tex]-16y = 64[/tex]

[tex]y = 64/-16[/tex]

[tex]y = -4[/tex]

Substitute -4 for y in [tex]x = 11 + 2y[/tex]

[tex]x = 11 + 2 * -4[/tex]

[tex]x = 11 -8[/tex]

[tex]x = 3[/tex]

5. Given

[tex]-2x + 6y = 6[/tex]

[tex]-7x + 8y = -5[/tex]

Multiply the first equation by 7 and the second by - 2 to eliminate x

The first

[tex]7(-2x + 6y = 6)[/tex]

[tex]-14x + 42y =42[/tex]

The second

[tex]-2(-7x + 8y = -5)[/tex]

[tex]14x - 16y = 10[/tex]

Add the resulting equations

[tex]-14x + 42y =42[/tex]

[tex]14x - 16y = 10[/tex]

------------------------------

[tex]-14x + 14x + 42y - 16y = 42 + 10[/tex]

[tex]42y - 16y = 42 + 10[/tex]

[tex]26y = 52[/tex]

Solve for y

[tex]y = 52/26[/tex]

[tex]y = 2[/tex]

Substitute 2 for y in [tex]-2x + 6y = 6[/tex]

[tex]-2x + 6 * 2 = 6[/tex]

[tex]-2x + 12 = 6[/tex]

[tex]-2x = 6 -12[/tex]

[tex]-2x = -6[/tex]

Solve for x

[tex]x = -6/-2[/tex]

[tex]x = 3[/tex]

9/4

(8+1)/4

8/4 + 1/4

2 + 0,25

2,25

Answer:

227 g

Step-by-step explanation:

Answer:

30 units ^2

Step-by-step explanation:

area of triangle = (base × height) / 2

Answer:

=−16x+8 for -2(8x-4)

Step-by-step explanation:

What is the solution to -2(8x-4)= -8x

What is the solution to 2x+5= 7x

so that means -2(8x-4) is less than 2x+5.

Answer: x > 1/6

Step-by-step explanation:

-2(8x - 4) < 2x + 5

Distribute:

-16x + 8 < 2x + 5

Subtract 2x from both sides:

-18x + 8 < 5

Subtract 8 from both sides:

-18x < -3

Divide both sides by -18:

x > 3/18 BUT this simplifies to:

x > 1/6

The reason the inequality flipped is because you divided both sides by a negative number.

The inequality ONLY flips when you divide or multiply both sides by a NEGATIVE number.

Hope this helps!

Answer:

40.74

Step-by-step explanation:

Answer:

[tex]190.08\%[/tex]

Step-by-step explanation:

[tex] he \: had \: read \: \frac{88}{100} \times 216 = 190.08\%[/tex]

Answer: 9ft

Step-by-step explanation: 9•9 is 81

Answer:

The last answer is correct

Step-by-step explanation:

there is a 10 point slope in between 13 and 3

Answer:

where is the figure and without figure what to do

Answer:

Kylie has 6 Nickels and 18 dimes

Step-by-step explanation:

Variable definitions:

x=the number of nickels

y=the number of dimes

One nickel is worth $0.05, so x nickels are worth 0.05x. One dime is worth $0.10, so y dimes are worth 0.10y. The total 0.05x+0.10y equals $2.10:

0.05x + 0.10y = 2.10

Since she has a total of 24 coins, we know x+y must equal 24.

x + y = 24

Write System of Equations:

0.05x + 0.10y = 2.10

x + y =  24

Solve for y in each equation:

0.05x + 0.10y= 2.10         x + y = 24

0.10y = 0.05x + 2.10         y = -x + 24

0.10y = -0.05x + 2.10

0.10                0.10                

  y = -1/2x + 21

The x variable represents the number of nickels and the y variable represents the number of dimes. Since the lines intersect at the point (6,18) we can say:

Kylie has 6 Nickels and 18 dimes

We want to solve a system of equations to see how many nickels and dimes Kyle has. We will see that she has 6 nickels and 18 dimes.

First, let's define the variables, we will use:

We know that there are 24 coins, then:

x + y = 24

We know that the total whort of the coins is $2.10, then:

x*$0.05 + y*$0.10 = $2.10

Then the system of equations is:

x + y = 24

x*$0.05 + y*$0.10 = $2.10

Here we need to graph both equations and find where they do intercept, the graph of the system can be seen below:

We can see that the intersection is at the point (6, 18)

So this means that she has:

6 nickels and 18 dimes.

If you want to learn more about systems of equations, you can read:

https://brainly.com/question/13729904

Answer:

$170 (i think)

Step-by-step explanation:

if you have (10w + 120) after w weeks, im thinking you would multiply 10 by 5 for the number of weeks and then add that to 120, which would be 170.

The answer will be 5.9°Fahrenheit

Answer:

450

Step-by-step explanation:

60 divided by 2= 30

it spins 30times per minute

30 times 15= 450

Answer:

[tex]x = 110 \\ (exterio \: angles \: of \: a \: traingle \: sum \: up \: to \: 360)[/tex]

Answer:

x = 110

Step-by-step explanation:

Assuming you require the value of x

The sum of the external angles of a triangle = 360°

The 3 angles shown are external angles.

Subtract the sum of the 2 given angles from 360 for x

x = 360 - (140 + 110) = 360 - 250 = 110

157 = .166 x

157/0.166 = x

945.78313253 = x

157 is 16.6% of 945.78313253, which rounds to 946.

The 157 is approximately 16.6% of 945.78313253012 rounded to the nearest decimal place.

To find the number that 157 is 16.6% of,  set up the following equation:

16.6% = 0.166 (since percentages expressed as decimals)

0.166 × x = 157

To isolate x, we divide both sides of the equation by 0.166:

x = 157 / 0.166

Simplifying the division:

x ≈ 945.78313253012

To know more about decimal here

https://brainly.com/question/33109985

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Answer: A

Step-by-step explanation:

Answer: A-

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

9/24 = 0.375 (how many peeled per minute)

0.375 x 32 = 12

Answer:

12 oranges

Step-by-step explanation:

Step 1:

9/24 = x/32        Equation

Step 2:

24x = 288        Multiply

Step 3:

x = 288 ÷ 24        Divide

Answer:

x = 12

Hope This Helps :)

Answer:

- 13

Step-by-step explanation:

Step 1:

-0.8b = 10.4       Equation

Step 2:

b = 10.4 ÷ - 0.8     Divide

Answer:

b = - 13

Hope This Helps :)

Answer:

y=x-2.5

Step-by-step explanation:

If it is perpendicular to a, just like b, it has the same slope, but, it has a y-intercept of 2.5, unlike b, which has a y-intercept of 1

Answer:

mc= 1

Step-by-step explanation:

correct on edge 2020

change in y/change in x

y2-y1/x2-x1

-1--5/0-2

-1+5/-2

4/-2

-2

slope is -2

now take one ordered pair and plug it into the equation (for this example i will use the SECOND ordered pair

y = -2x +b

-1 = -2(0)+b

-1 = b

the equation is

Answer:

A: Customary

Step-by-step explanation:

United States customary units (U.S. customary units) are a system of measurements commonly used in the United States since it was formalized in 1832.

the answer is:

A: customary

Yw!!!

Answer:

Collin with 80

Step-by-step explanation:

Because he has the most flips, therefor he can most closely predict the number of heads up landings

Answer:

The correct answer is C.

Step-by-step explanation:

Collin is most likely to find that the actual number of times his coin lands heads up most closely matches the predicted number of heads-up landings.

Hopefully, this helps! :D

Ask your question below!

Answer:

Yes

Step-by-step explanation:

In a function, an x value can never repeat. This is basically the only rule (that I know of), so, the given values can represent a function.

if your asking for the equation, it's t + 7 < 3

Answer:

t+7<3

Step-by-step explanation:

kinda meaning like t is a number less than 3 that when added to three the outcome would be 7 (thanks and sorry)

Answer: if y is the total cost of the rental, then y-93.75=12.5(x-5.5) models the cost of renting a pedal board for x hours. liam should rewrite the equation from the previous step so that y is isolated on one side. the constant on the other side is then the service fee.

Step-by-step explanation:

yeah that’s all

The point-slope form equation is an equation that has a slope "m" and passes through a point or two points.

The equation to find the one-time service charge is 93.75 = 17.05x + b

y = mx + b

Where

m = gradient

b = slope of the line

Therefore, the cost of renting a pedalboard for 1 hour

= $93.75/5.5

= $17.05

y = mx + b

Where

y = Total charge = $93.75

m = Cost of renting a pedalboard per hour = $17.05

x = Number of hours for renting a pedal board

Hence, the equation is given as:

93.75 = 17.05x

Hence, the equation is given as:

93.75 = 17.05x + b

Where b = service charge

To learn more, visit the link below:

brainly.com/question/24293432

Answer:

$150, $575, y=150x+575

Step-by-step explanation:

hi! the first answer is $150 because the slope is the change in y values divided by the change in x values.

(1625-1175)/3 = 150

the second answer is $575 because the y-intercept is the y value at x=0. the savings amount increases by 150 every month, so to get to 0, we multiply 150 by 4, which is 600. we subtract this from 1175, which is 575.

the third answer is y=150x+575 because the initial amount (y-intercept) is 575 so it is constant, and it increases by 150 every month (therefore accompanied by a variable).

hope this helps!

Answer:

4th option is coreect

Step-by-step explanation:

Answer:

4th answer is correct.!

Step-by-step explanation:

Answer:

0.66

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

5(3)^2÷9

5(9)÷9

45÷9

5

Using PEMDAS to solve :)

Parentesis

Exponents

Multiplication

Division

Addition

Subtraction

Answer:

1. 25 cents per ounce

2. 4 ounces.

3. 10x=$2.50 and $2.50x=10

4. I need picture

Step-by-step explanation:

The cost of popcorn per ounce will be $0.25, the amount of popcorn you can buy per dollar will be 4 ounces per dollar, and the equation that represents the cost will be c = 0.25p.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

Elena went to a store where you can scoop your own popcorn and buy as much as you want. She bought 10 ounces of spicy popcorn for $2.50.

The cost of popcorn per ounce will be

⇒ $2.50 / 10

⇒ $0.25

The amount of popcorn you can buy per dollar will be

⇒ 10 / $2.50

⇒ 4 ounces per dollar

Let p for ounces of popcorn and c for cost in dollars. Then the equation is given as,

c = 0.25p

The graph of the equation is attached below.

More about the linear equation link is given below.

https://brainly.com/question/11897796

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