RS= 6x-8

UV= 4x+2


write and solve an equation to find the value of x (show work)


What is the length of RS


What is the length of UV

Answers

Answer 1

Answer:

The length of RS is 22

The length of UV is 22

Step-by-step explanation:

6x-8. ---------- equation (i)

4x+2 ------------ equation (ii)

Now,

equating equation i and ii, we get

6x-8 = 4x+2

or, 6x-4x = 2+8

or, 2x = 10

or, x = 10/2

.°. x = 5

Then,

length of RS = 6x-8

= 6×5-8

= 30-8

= 22

Again

length of UV = 4x+2

= 4×5+2

= 20+2

= 22


Related Questions

In which direction must the graph of Rx) = 7% be shifted to produce the graph of g(x) = 7% + 7?
O A right
OB. Up
OC. left
OD. down

Answers

Answer:

B. Up

Step-by-step explanation:

If you alter a function by adding or subtracting a constant to the end of the expression, then the graph will slide up (down if subtracting) If you alter the x value by altering the expression in close to the x with addition or subtraction the graph will slide left or right.

Vertical translations (sliding up or down) go up when adding and down when subtracting as you would expect it to.

Horizontal translations are the oppoof what you might expect. A (x-h) will shift the graph right, while a (x+k) will shift the graph left.

The answer to your question is UP.

Determine the slope of the line that passes through the points (-8,-4) and (0, -1).​

Answers

Answer:

3/8

Step-by-step explanation:

(-1-(-4))/(0-(-8))

=3/8

a/a+2 = 3/5 ,, can someone give me the step by step solution to this? or at least explain it to me :’)

Answers

Answer:

Hey There!

Let's solve...

[tex] \frac{a}{a + 2} = \frac{3}{5} \\ \\ [/tex]

if a/b=c/d,then it will be a*d=b*c

Note: * means "×" or multiply

Let's continue...

[tex]a \times 5 = (a + 2) \times 3 \\ now \: expand \: \\ a \times 5 = 3a + 6 \\ \\ a \times 5 - 3a = 3a + 6 - 3a \\ [/tex]

[tex]now \: it \: will \: be \: a \times 2 = 6 \\ so \: 2a = 6 \\ \\ therefore \: a = \frac{6}{2} \\ simplify \\ \\ \frac{ \cancel{6}^{3} }{ \cancel{2} ^{1} } \\ so \: a = 3 [/tex]

So final answer is a=3

I hope it is helpful to you...Cheers!___________

The value of a in the equation is 3

The equation is given as:

[tex]\frac{a}{a+2} =\frac 35[/tex]

Start by cross multiplying the above equation

[tex]5 \times a = 3 *(a + 2)[/tex]

Simplify each product

[tex]5a =3a + 6[/tex]

Collect like terms

[tex]5a -3a = 6[/tex]

Evaluate the difference

[tex]2a = 6[/tex]

Divide both sides by 2

[tex]a = 3[/tex]

Hence, the result of the equation is 3

Read more about equations at:

https://brainly.com/question/2972832

Solve the following system of equations.
4x + 7y= 18
- 7x - 8y = -23
X =

y =

Answers

im lazy to solve in my paper hope it helps

what is the answer in simplest form and is it real or imaginary?

Answers

Answer:

12.292 or 1.708

Step-by-step explanation:

1#60 -  (2 • (x + 7)2 +  4)  = 0

2#   -2x2 - 28x - 42  =   -2 • (x2 + 14x + 21)

3#x2 + 14x + 21 =  -2 • (x2 + 14x + 21)  = 0

[tex]\\ \sf\longmapsto -60=2(h+7)^2+4[/tex]

[tex]\\ \sf\longmapsto 2(h^2+14h+49)=-64[/tex]

[tex]\\ \sf\longmapsto h^2+14h+49=-66[/tex]

[tex]\\ \sf\longmapsto h^2+14h+115=0[/tex]

h has imaginary roots

if a car travels for 3 hours its average speed is 75km/h work out the total distance the car travels

Answers

Answer:

225 km

Step-by-step explanation:

75 · 3 = 225

Answer:

225 km

Step-by-step explanation:

Distance = Speed × Time

Distance = 75km/h × 3

Distance = 225km

Bus A and Bus B leave the the bus depot at 2 pm.

Bus A takes 15 minutes to complete its route once and bus B takes 25 minutes to complete its route once.

If both buses continue to repeat their route, at what time will they be back at the bus depot together?

Assume the buses have have no breaks in between routes.

Give your answer as a 12-hour clock time.

Answers

Answer:

3:15 pm

Step-by-step explanation:

You can imagine that they go in a circle (we can do whatever we want in theoretical math and physics). By doing so we know we can obtain a cosinusoidal wave by projecting the motion on a plane. Each one of the buses has a period (minimum time after what they're in the same point again). For the first one it's 15 minutes, for the second one it's 20 minutes. We have to take the least common multiple of the periods, that is 75 minutes. So They'll meet every 75 minutes. Add 75 minutes (1h and 15 minutes) to 2pm and there you go.

HELPPPPP!!!!!!!!!!!!!!!!!!!!!!!

Answers

[tex]\left(-\dfrac 16 \right)^2 +\dfrac 58 \left(-\dfrac 19} \right)\\\\\\=\dfrac 1{36} -\dfrac{5}{72}\\\\\\=\dfrac 2{72} - \dfrac{5}{72}\\\\\\=-\dfrac 3{72}\\\\\\=-\dfrac 1{24}[/tex]

Answer:

Step-by-step explanation:

(-1/6)^2 + 5/8(-1/9)= -0.0416

Thus the answer is -1/24

Solve the expression then name the polynomial
If f(x) = 2x – 3 and g(x) = 3x2
– 2x + 6 then what is (f + g)(x)?

Answers

Here’s my work to your question.

solve the equation below.

2/3 (9x - 12) - 6x

Answers

48

Step-by-step explanation:

idek I just need tge points so don't put what I put

Answer:

-8

Step-by-step explanation:

1. Simplify

2/3 (9x - 12) -6x —-> 2 (9x - 12) -6x/3

2. Distribute

2(9−12)/3 -6x

18x - 24/3 -6x

3. Find common denominator

18 −24/3 + 3(-6)x/3

4. Combine fractions with common denominator

18−24+3(−6)/3

5. Multiply the numbers

18−24+3(−6)/3 ——> 18−24−18/3

6. Combine like terms

18−24−18/3 ——> -24/3

7. Cancel terms that are in both the numerator and denominator

−24/3

−8

Hope it helps! Have a great day! :D

What is 2 + 7?



i have to write 20 characters to get a great answer apparently so just ignore this

Answers

Answer:

9

Step-by-step explanation:

Seven less than three times the sum of a number and 5 is at least 11 Find all the number that satisfy this condition

Answers

Answer:

x <= -6.33333

(>= is greater than or equal to)

(<= is less than or equal to)

Step-by-step explanation:

7 - 3(x+5) >= 11

7 - 15 - 3x >= 11

-8 - 3x >= 11

-3x >= 19

x <= 19/-3

x <= -6.33333

please mark brainliest

The inequality 3(x + 5) - 7 ≥ 11 is satisfied for this x ≥ 1 condition.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Seven less than three times the sum of a number and 5 is at least 11.

The sum of the a number (x) and 5 is given as,

⇒ (x + 5)

Three times the sum of a number and 5 will be given as,

⇒ 3(x + 5)

Seven less than three times the sum of a number and 5 will be

⇒ 3(x + 5) - 7

Seven less than three times the sum of a number and 5 is at least 11. Then the inequality will be

3(x + 5) - 7 ≥ 11

Simplify the inequality, then the value of x will be

3(x + 5) ≥ 18

   x + 5 ≥ 6

         x ≥ 1

The inequality 3(x + 5) - 7 ≥ 11 is satisfied for this x ≥ 1 condition.

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ2

-5/9+(-4/3)-2/3 khan academy. Please help !!!

Answers

Answer:

= -2.554

Step-by-step explanation:

BODMAS  Rule:

Brackets, O-Orders (powers/indices or roots), D-Division, M-Multiplication, A-Addition, S-Subtraction.

-4/3 = -1.33333333333

-2/3 = -0.66666666666

-5/9 = -0.55555555555

-0.555+(-1.333)-0.666

= -2.554

Step-by-step explanation:

[tex] - \frac{5}{9} + ( - \frac{4}{3} ) - \frac{2}{3} = - \frac{23}{9} [/tex]

First deal with the bracket to get

[tex] - \frac{5}{9 } - \frac{4}{3} - \frac{2}{3} [/tex]

Next, find the L.C.M which is 9

[tex] \frac{ - 5 - 4 \times 3 \times - 2 \times 3}{9} [/tex]

[tex] \frac{ - 5 - 12 - 6}{9} = - \frac{23}{9} [/tex]

What can readers learn from ""A Flight Through the Sky""?

Answers

Readers can learn various information related to an airplane flight.

Fly through the sky is a children's song in which different aspects of an airplane flight are described in a simple and direct way. Some of the aspects that a person can learn by reading the lyrics of the song are:

Technical aspects of flight and aircraft. Its wheels are inflated with air. Its engine runs on fuel. Its wings are made of aluminum. All passengers must wear seat belts during take off.

Learn more about airplane in: https://brainly.com/question/15415980

Jimmy needs to rent a banquet hall for a charity dinner. Facility A charges customers a one-time fee of $500 plus $15 for every meal. Facility B charges customers a one-time fee of $1000 plus $5 for every meal.

Which inequality can be used to find m, the minimum number of meals that can be served so that the total charge at Facility A is less than the total charge at Facility B?


#1. 500+15m<1000+5m

#2. 500+15m>1000+5m

#3. 500m+15<1000m+5

#4. 500m+15>1000m+5

Answers

I would believe it to be option 2 Because (m) will be meals but for it to be less would be 500+15m>1000+5m

Jenny wants to build a concrete patio that will be 8 meters by 11 meters

Answers

Answer:Cost = $352Step-by-step explanation:Area = 8 x 11=> Area = 88 m²=> Cost = 88 x 4=> Cost = $352Conclusion:

Therefore, the total cost of the patio is $352.

Hoped this helped!

[tex]BrainiacUser1357[/tex]

Based on the information marked in the diagram, AABC and ADEF must be congruent.

True or false

Answers

We conclude that the triangles are congruent, so the statement is true.

Are the two triangles congruent?

We can see two right triangles ABC and DEF.

In the diagram, we can see that BA = CE, and BC = EF.

And because both are right triangles, we can conclude that FD is equal to AC.

So the 3 sides are equal in both triangles, then we can conclude that the triangles are congruent.

If you want to learn more about congruent figures:

https://brainly.com/question/1675117

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Help Asap I am stuck
suppose the value of an investment increases 12% per year and the investment has a current value of 33,00.00 which equation models the value of this investment after x years?

Answers

Answer:

bro pls someone hurry i need help

Step-by-step explanation:

Write equations for the horizontal and vertical lines passing through the point (4-1)

Answers

Answer:

y = - 1 , x = 4

Step-by-step explanation:

The equation of a horizontal line parallel to the x- axis is

y = c

where c is the value of the y- coordinates the line passes through.

The line passes through (4, - 1 ) with y- coordinate - 1 , then

y = - 1 ← equation of horizontal line

The equation of a vertical line parallel to the y- axis is

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (4, - 1 ) with x- coordinate 4 , then

x = 4 ← equation of vertical line

The two team captains agree to eliminate the halftime interval but one of the players insists on a halftime interval. What decision should the referee make

Answers

What the judge should do is adhere strictly to the rules.

This is so because, in case of not abiding by the rules, the referee would be allowing the players to modify the sport at will, which would go against the stability of the game and the predictability of the rules.

Therefore, in case the captains want to modify the rules, in any case they should contact the governing association of the sport to request said modifications.

Learn more about referees in https://brainly.com/question/8186953

The referee will have to allow halftime interval as a result of one of the

players wanting it.

Every sport has rules which guides the game to ensure fair play and  prevent

confusion from happening. Referee decisions are based on the rule of the

game but can also be negotiated.

In this scenario, if all the players wanted eliminate the halftime interval, it

could have been honored .But in this case, the referee has to follow the rules

of the game due to the other player disagreeing with the suggestion.

Read more about Sport rules https://brainly.com/question/1862654

can hellp me with this plzzzzzzz no links plz

Answers

400? I’m confused what you’re asking me to do !

8(4p + 3) please and thanks

Answers

Answer:

32p + 24

Step-by-step explanation:

Distribute the 8 to each term

8 * 4p = 32p

8 * 3 = 24

What is th eslope of the graph if it has these coords?
(1,2) and (3,-1)

Answers

Answer = –3/2

Use rise/run to find the gradient, while finding the difference between the two points.

Equation of slope:
y2 - y1 / x2 - x1

-1-2 / 3-1

–3/ 2

Slope = –3/2
Ok done. Thank to me :>

So the answer is all of that

Answers

Answer:

What's the question?

Step-by-step explanation:




Points A, B and C lie on a circle, centre O.
Angle AOC = 142°.
Find the value of y.

Answers

The value of the angle [tex]y[/tex] within the quadrilateral [tex]OABC[/tex] inscribed the circle is 142°.

Let suppose that quadrilateral [tex]OABC[/tex] is a parallelogram. Then, the following conditions must be fulfilled:

[tex]\overline {OA} \cong \overline {BC}[/tex] [tex]\overline{AB} \cong \overline{OC}[/tex] [tex]\angle AOC \cong \angle ABC[/tex]

In addition, if we have a rhombus we have the additional condition as A, B and C lie on the circle:

[tex]\overline{OA} \cong \overline {AB} \cong \overline {BC} \cong \overline{OC}[/tex] (4)

If we know that [tex]\angle AOC = 142^{\circ}[/tex], then the value of [tex]\angle ABC = y = 142^{\circ}[/tex].

Based on all these finding, we conclude that the value of the angle [tex]y[/tex] within the quadrilateral [tex]OABC[/tex] inscribed the circle is 142°.

To learn more on parallelograms, we kindly invite to check this verified question: https://brainly.com/question/555469

3 ½ pints = ___ cups

Answers

Answer:

8.40665 cups

Step-by-step explanation:

hope this is helpful!

WILL MARK BRAINLIEST ASAP PLEASE
the number of calories ,c, burned while walking is directly proportional to the distance ,d , a person walks. Tom burned 180 calories walking a distance of 2 miles.
which equation represents this relationship

A) c=180+d
B) c=90d
C) d=90+c
D) d=180c

please help if you for sure know, this is part of a big test

Answers

Answer:

b

Step-by-step explanation:

90×(2)

= 180

each mile is equal to 90 calories

therefore 2 miles is equal to 180

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Graph the solution to the following linear inequality in the coordinate plane.
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Hope this helps
Answer…

The inequality [tex]2x + y >4[/tex] has a slope of -2, and the y-intercept of 4

The inequality is represented as:

[tex]2x + y >4[/tex]

Subtract 2x from both sides

[tex]y >4 - 2x[/tex]

Rewrite the inequality as:

[tex]y >- 2x+4[/tex]

The linear inequality is represented as:

[tex]y >mx+c[/tex]

Where:

m represents the slopec represents the y-intercept

So, by comparison:

[tex]m = -2[/tex]

[tex]c = 4[/tex]

This means that the inequality [tex]2x + y >4[/tex] has a slope of -2, and the y-intercept of 4

See attachment for the graph of the inequality

Read more about inequalities at:

https://brainly.com/question/11234618

A recipe requires 2 eggs for every 5 dozen cookies. At this rate, how many eggs are required for 30 dozen​

Answers

6 eggs (i think)







5x12=60 cookies require 2 eggs
30x12=360
360 divided by 60= 6

so six eggs

Answer:

12

Step-by-step explanation:

Theres 6 5's in 30. ( 5,10,15,20,25 and 30.)

There is 2 eggs in every 5 dozen cookies, ( 5d, 2, 10d, 4, 15d, 6, 20d, 8, 25d, 10, 30d, 12.) The d means dozen by the way...

I am so sorry if you use this and get it wrong!! I am not good at math!! And i am sorry, this is probably confusing >-<

I need help with A-G,I,L,N
I hope yall have a merry Christmas ​

Answers

Format of my answer:

[Problem letter] Parallel Lines

- Converse / Reason

!! I am not sure which / what converses you are using, but I gave the reasoning for it. If you see something similar, use the converses you know !!

[a] j & k

- If two lines intersected by a  transversal form congruent alternate interior angles, then the lines are parallel

[b] m & n

- If angles are supplementary in this placement, the lines are parallel

[c] l & n

- If angles are equal when they are corresponding, the lines are parallel

[d] l & m

- If two angles that are congruent are vertical, the lines are parallel

[e] j & k

- If two lines intersected by a  transversal form congruent corresponding angles, then the lines are parallel

[f] l & n

- If angles are supplementary in this placement, the lines are parallel

[g] l & n

- If two angles that are congruent are vertical, the lines are parallel

[h] -------

[i] l & n

- If two angles that are congruent are vertical, the lines are parallel

[j] -------

[k] -------

[l] j & k

- If two lines intersected by a  transversal form congruent corresponding angles, then the lines are parallel

[m] -------

[n] j & k

- If angles are supplementary in this placement, the lines are parallel

[o] -------

-> See attached for more information

Have a nice day! - hopefully these are mostly correct, been awhile since I've done this

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

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