Point V lies between points U and W on line UW. The distance between U and V is 2x-4, and the distance between V and W is 4x+10. If UW = 9x – 9, what is UW in units?

Answers

Answer 1

Answer:

36UNITS

Step-by-step explanation:

If point V lies between U and W, then UV+VW = UW

given parameters

UV = 2x-4

VW = 4x+10

UW = 9x-9

Substituting the given functions in the formula first, we will have;

2x-4+4x+10 = 9x-9

6x+6 = 9x-9

Collect like terms

6x-9x = -9-6

-3x = -15

x = -15/-3

x = 5

Substitute x = 5 into UW.

Since UW = 9x-9

UW = 9(5)-9

UW = 45-9

UW = 36


Related Questions

find de equation of a line with slope 2y + x =6 and passing through the point (-2,3)​

Answers

Answer:

[tex]y = mx + b[/tex]

[tex]y = 3x - \frac{1}{2} x {}^{2} + 11[/tex]

PLEASE MARK AS BRAINLIEST

Evaluate 4(a2+2b)-2 when a = 2 and b =-2

Answers

Answer: -2

Explanation

4×(2×2+2×-2)-2

=4×(4-4) -2

=4×0 -2

= -2


800 students are going on a school trip by bus.
Each bus can carry 34 students.

Work out the smallest number of buses needed to carry all the students.

Answers

The answer is twenty four

Answer:

24 buses

Step-by-step explanation:

In order to find the answer, we need to divide the number of students by the capacity of each bus. There are 800 students and each bus carries 34.

800/34=23.5

Since we can't have half of a bus, we round up to 24.

24 buses

Graph [tex]g(x)=\frac{1}{2}|x+2|-3[/tex] as a transformation of [tex]f(x)=|x|[/tex]. Then identify the transformation.

Answers

Answer:

see below

Step-by-step explanation:

 g(x) = 1/2 | x+2| -3

y = Cf(x)   0 < C < 1 compresses it in the y-direction

y = f(x + C)      C > 0 moves it left

y = f(x) + C C < 0 moves it down

1/2 compression in the y direction moved to the left 2 units and down 3 units

Given: g(x) = 1/2|x + 2| - 3

0 < c < 1 means at the y-axis and makes it smaller

y = cf(x)

1/2 compression

c > 0 means that you move it to the left

y = f(x + c)

2 units to the left

c < 0 means that you move it down

y = f(x) + c

3 units down

Best of Luck!

fill in the blank to find –5 + (-2)

Answers

The answer is -7. Adding two negative make a negative then u add like u regularly would

23=1/3b-2+4/3b
what is the value of b?​

Answers

Answer:

b=15

Step-by-step explanation:

Tacoma's population in 2000 was about 200 thousand, and has been growing by about 8% each year. If this continues, what will Tacoma's population be in 2010?

Answers

70000000 would be the answe

Solve 3(x + 6) - 2(x - 2) ≥ 10

Answers

Answer: x ≥ -12

Step-by-step explanation:

Step 1: Simplify both sides

x+22 ≥ 10

Step 2: Subtract 22 from both sides

x + 22 −22 ≥ 10 −22

Your answer should be

x ≥ −12

Answer:

[tex]x \geqslant - 12[/tex]

Step-by-step explanation:

Please see the attached picture for full solution.

8. Why is it NOT useful to view science as a set of facts?

Answers

Answer:
(assuming this isn't actually for math?) but one reason is bc science shouldn't be always taken as fact. science can be wrong.

Explanation:
not all but many scientists are skeptical and won't accept anything without proof, and even when things are accepted as right they can still be wrong later. example: humans once believed the planets revolved around the earth and that the earth was flat (even, some people still believe the earth is flat today....) but both those things are generally unaccepted today.

science shouldn't be viewed as fact always, because accepting everything as fact will lead to misassumptions and false information. it's like we should never take things for granted

This is my honest opinion

Science is not just facts. Science, to me, is full of theories and hypotheses that can be proved wrong. Yes, a majority of it is actually factual, but in the future it may or may not be true.

I hope it helps.

Four consecutive odd integers have the sum of 80. Find the integers.

Answers

Answer:

Step-by-step explanation:

let 4 no:s be x, 3x, 5x, 7x

given, x+3x+5x+7x=80

        16x = 80

        x = 80/16

    therefore, x=5

so,   x=5  

    3x=15

    5x= 25

    7x= 35

Pls mark me as brainliest

Which equation represents the data: m = -3, b = 5
O y = -3x + 5
O y = x
Oy= 5x - 3
Zero

Answers

Answer:

y=-3x+5

Step-by-step explanation:

In the form of y=mx+b

a rectangular hallway has dimension 6 feet by 18 feet. it is to be tiled with squares tiles, each with the dimension 2/3 feet by 2/3 feet. How many tiles will you need?

Answers

We need to find the area of the hallway. To find the area of a rectangle, simply multiply the length and width together.

6ft * 18ft = 108^ft

Now, let's find the area of the square tiles. To find the area of a square, simply square one side.

(2/3ft)^2 = 4/9ft^2

To find out how many square tiles are necessary to tile the hallway, lets divide the area of the hallway by the area of one square.

108ft^2 / (4/9ft^2) = 243 tiles


5. What single rigid motion can move the solid figure onto the dashed figure?
Translation
Dilation
Reflection
Rotation

Answers

Answer:

Rotation

Step-by-step explanation:

If you were to translate it, it wouldn't match up because it needs to be turned around. translation just involves moving the shape without rotating it. a dilation means that you're changing the size, and you're not supposed to do that for this problem. a reflection means that if you were to fold in between these two shapes, they would match up. They Don't in this case so that won't work. A rotation is the only way to get it so that all of the areas match up.

HELP ME PLEASE I NEEED THIS <33

Answers

Since angle COB is the central angle of arc CB, the measure of arc CB = 80 degrees

AB=10,BC=6. What is AC

Answers

Answer:

16

Step-by-step explanation:

adding any two sides of a triangle is allways greater than the third side.

In which expression should the exponents be multiplied? (4 points)

Answers

I am pretty sure it is D

Find the coordinates of the midpoint of a segment with the endpoints (9.–3) and (5,1).

Answers

Answer:

(7,-1)

Step-by-step explanation:

Answer:

(7,-1)

Step-by-step explanation:

Midpoint = [(x1+x2)÷2] , [(y1+y2)÷2]

= [(9+5)÷2] , [(-3+1)÷2]

= (7 ,-1)

please help w qn 3!!

Answers

Answer:

a) 67.8m

b) 36.8m

(both answers rounded off to 3 s.f.)

Step-by-step explanation:

Please see the attached pictures for full solution.

*Instead of rewriting PF to QF +43 in part (a), you could also leave PF as it is and rewrite QF as PF -43 after the line I labelled as equation 2. The working would be about the same, just that you would not need to add 43 again in picture 3 because we would be working with PF. (PF would be factorised out instead)

Identify the hypothesis and conclusion of each statement.
13. If the ball is red, then it will bounce higher.

14. If a plane contains two lines, then they are coplanar.

15. If the light does not come on, then the circuit is broken.

16. You must wear your jacket if it is cold outside.

Answers

Any conditional is of the form "if hypothesis, then conclusion"

=============================

13.

Hypothesis = The ball is red

Conclusion = It (the ball) will bounce higher

=============================

14.

Hypothesis = A plane contains two lines

Conclusion = They (the two lines) are coplanar

=============================

15.

Hypothesis = The light does not come on

Conclusion = The circuit is broken

=============================

16.

Hypothesis = It is cold outside

Conclusion = You must wear your jacket

It might help to rewrite the original sentence as "If it is cold outside, then you must wear your jacket" to have it match up with the "if P, then Q" format (P and Q are the hypothesis and conclusion in that order).

The Hypothesis and Conclusion of each statement are;

13. Hypothesis = The ball is red

Conclusion = It (the ball) will bounce higher

14. Hypothesis = A plane contains two lines

Conclusion = They (the two lines) are coplanar

15. Hypothesis = The light does not come on

Conclusion = The circuit is broken

16.Hypothesis = It is cold outside

Conclusion = You must wear your jacket

What is The Hypothesis and Conclusion?

The conclusion is “then,” part of a conditional statement.

The hypothesis is the “if,” part of a conditional statement

Now,

To find the hypothesis and conclusion of each statement we can change any conditional is of the form "if hypothesis, then conclusion"

The first statement is;

13.  If the ball is red, then it will bounce higher.

In form of the hypothesis and conclusion written as;

Hypothesis = The ball is red

Conclusion = It (the ball) will bounce higher

And, The second statement is;

14. If a plane contains two lines, then they are coplanar.

In form of the hypothesis and conclusion written as;

Hypothesis = A plane contains two lines

Conclusion = They (the two lines) are coplanar.

And, Third statement is;

15. If the light does not come on, then the circuit is broken.

In form of the hypothesis and conclusion written as;

Hypothesis = The light does not come on

Conclusion = The circuit is broken.

And, Fourth statement is;

16. You must wear your jacket if it is cold outside.

In form of the hypothesis and conclusion written as;

Hypothesis = It is cold outside

Conclusion = You must wear your jacket

Learn more about the hypothesis and conclusion visit:

https://brainly.com/question/27809115

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y ∝ 1 √ x If y = 5 when x = 49 find, y when x = 25

Answers

Answer:

y = 1/7

Step-by-step explanation:

y ∝ 1/√x  ⇒  y = k/√xy = 5, x = 49  ⇒  5 = k/√49  ⇒  5 = 7k  ⇒  k = 5/7y = 5/(7√x) ⇒  x = 25  ⇒  y = 5/(7√25) = 5/(7·5) = 1/7

The value of x is 25 then y is 7.

What is Proportionality?

In mathematics, proportionality denotes a linear relationship between two quantities or variables. Both quantities increase in size when one doubles, and both decrease in size when one drops to a tenth of its original value.

Given:

y ∝ 1 √ x

and, y= 5 when x= 49

So, the relation will be

y ∝ 1/√x  

y = k/√x

So, 5 =  k/√49

5 = k /7

k = 35

Now, k = y/ √x

35 = y √25

35 = 5y

y = 7

Hence, when x is 25 then y is 7.

Learn more about Proportionality here:

https://brainly.com/question/29126727

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5. What is the value of this function evaluated at F(-3)?
F(x)=2x² + 5x - 9

Answers

Answer:

Step-by-step explanation:

evaluate. (-5)^2 - (-2)^4

Answers

Answer:

9

Step-by-step explanation:

(-5)^2=25

(-2)^4=16

so therefore...25-16=9

Help plzzzzzzzzzzzzzzzzzz

Answers

Answer:1

Step-by-step explanation:

Answer:

[tex]x=-11[/tex]

Step-by-step explanation:

[tex]\sqrt{5-x}=4[/tex]

Square both sides:

[tex](\sqrt{5-x})^2=4^2[/tex]

[tex]5-x=16[/tex]

Subtract 5 from both sides:

[tex]5-x-5=16-5[/tex]

[tex]-x=11[/tex]

Divide both sides by -1:

[tex]\frac{-x}{-1}=\frac{11}{-1}[/tex]

[tex]x=-11[/tex]

Evaluate -2 + W for W = -7.1

Answers

Answer:

did you know that a W is the upside down logo of McDonald's?

okay but seriously though, the answer in -9.1

Answer:

-9.1

Step-by-step explanation:

-2+7.1=-9.1. you just add them together when they are both negatives

WILL MARK YOU BRAINLIEST

Answers

Answer:

(-4, -0.5)

Step-by-step explanation:

According to the graph ,

[tex](-5 , -4) =(x_1,y_1)\\(-3 , 3)=(x_2,y_2)[/tex]

Sorry for the bad handwriting

Workings are in the picture

The midpoint of AB is M(-2,-6). If the coordinates of A are (1, –4), what are
the coordinates of B?

Answers

Answer is B (-5,-8)

What is the x-intercept of the equation below? 5x - 8y = 10 A. ( 2 , 0 ) B. ( 0 , 2 ) C. ( 0 , -5/4 ) D. ( -5/4 , 0 )

Answers

Answer:

A. ( 2 , 0 )

Step-by-step explanation:

[tex]5x - 8y = 1[/tex]

Let y = 0

[tex]5x-8(0) =10[/tex]

Multiply ; 8×0=0

[tex]5x-0=10[/tex]

Collect like terms and simplify

[tex]5x =10+0\\\\5x =10[/tex]

Divide both sides of the equation by 5

[tex]\frac{5x}{5}= \frac{10}{5}[/tex]

Simplify

[tex]x =2\\\\(2,0)[/tex]

Answer:

Yes the answer is A. I just did this.

Step-by-step explanation:

Point C is on line segment \overline{BD} BD . Given CD=2x,CD=2x, BD=3x+4,BD=3x+4, and BC=2x-1,BC=2x−1, determine the numerical length of \overline{BD}. BD

Answers

Answer:

[tex]BD = 19[/tex]

Step-by-step explanation:

Given

[tex]CD = 2x[/tex]

[tex]BD = 3x + 4[/tex]

[tex]BC = 2x -1[/tex]

Required

Find BD

Since C is on BD, we have:

[tex]BD = BC + CD[/tex]

Substitute values for BD, BC and Cd

[tex]3x + 4 = 2x - 1 + 2x[/tex]

Collect Like Terms

[tex]3x - 2x - 2x = -1 - 4[/tex]

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

Multiply through by -1

[tex]x = 5[/tex]

Substitute 5 for x in [tex]BD = 3x + 4[/tex]

[tex]BD = 3 * 5 + 4[/tex]

[tex]BD = 19[/tex]

please don’t skip over me!

show all work

Answers

Answer:

a,c,d

Step-by-step explanation:

[tex]a. \\4i^9+4i^7\\=4i(i^2)^4+4i(i^2)^3\\=4i(-1)^4+4i(-1)^3\\=4i-4i\\=0\\b.\\2i^{18}-3i^{11}\\=2(i^2)^9-3i(i^2)^5\\=2(-1)^9-3i(-1)^5\\=-2+3i\\c.\\7i^{36}-11i^{11}-11i^9\\=7(i^2)^{18}-11i(i^2)^5-11i(i^2)^4\\=7(-1)^{18}-11i(-1)^5-11i(-1)^4\\=7+11i-11i\\=7\\d.\\8i^{22}-1\\=8(i^2)^{11}-1\\=8(-1)^{11}-1\\=-8-1\\=-9[/tex]

e.

[tex]2i^{27}+4\\=2i(i^2)^{13}+4\\=2i(-1)^{13}+4\\=-2i+4[/tex]

A baby elephant named Nora was born at a wildlife refuge and weighed 200 lbs when she was
born and gained 22 lbs every week. In preparation for her birth, the staff estimated how much
she would weigh at certain weeks so they could stock some of her food ahead of time. They
documented that at 16 weeks she would weigh approximately 352 lbs. Did they estimate
correctly? If so, explain why. If not, describe what they did wrong and find her accurate weight.​

Answers

Answer:

352 lbs is correct

Step-by-step explanation:

They did estimate correctly. for how to do this look below:

So we have a elephant that gains 22 pounds every week and they estimated that at 16 week she would be at 352 lbs

22 which was current pounds at the time and she would keep gaining that every week for 16 weeks

So weight times weeks

22*16

22*16= 352

Hope this helps!

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