provide the value of k:
(2x-1)(kx+1)=6x^2-x-1

Answers

Answer 1

Answer:

k = 3

Step-by-step explanation:

Expand the left side and compare the coefficients of like terms on both sides.

(2x - 1)(kx + 1) ← expand using FOIL

= 2kx² + 2x - kx - 1

Compare the coefficients of the x² term on both sides

2k = 6 ( divide both sides by 2 )

k = 3

Answer 2

Answer:

k= 6x-3/2x-1

Step-by-step explanation:


Related Questions

Complete the following proof Given: is the midpoint of , is the midpoint of Prove: =2

Answers

Answer:

Step-by-step explanation:

                        Statements                                    Reasons

1). M is the midpoint of segment AB        1). Given

   B is the midpoint of segment MD      

2). AM = MB and MB = BD                        2). Definition of midpoint

3). MD = MB + BD                                      3). Segment Addition Postulate

4). MD = MB + MB                                     4). Substitution property of of Equality

5). MD = 2MB                                            5). Simplify

Therefore, if M is the midpoint of segment AB, B is the midpoint of MD then MD = 2MB

The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation
A. 10; your car travels for 10 hours.
B. 260 your car travels 260 miles.
C.1/65; your car travels 65 miles every 1 hour.
D.65/1 Your car travels 65 every 1 hour

Answers

Answer:

D

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(390-260)/(6-4)

m=130/2

m=65/1

every hour, a car travels 65 miles

D

Answer:

65/1

Step-by-step explanation:

The initial point of a⃗ is (−2,4), and its terminal point is (−5,−2). What is the value of ‖a⃗ ‖? Give your answer as a simplified radical.

Answers

Answer:

[tex]3\sqrt{5}.[/tex]

Step-by-step explanation:

It is given that the initial point of [tex]\vec{a}[/tex] is (-2,4) and terminal point is (-5,-2). So, [tex]\vec{a}[/tex] is defined as

[tex]\vec{a}=(-5-(-2))\hat{i}+(-2-4)\hat{j}[/tex]

[tex]\vec{a}=(-5+2)\hat{i}+(-2-4)\hat{j}[/tex]  

[tex]\vec{a}=-3\hat{i}-6\hat{j}[/tex]

The magnitude of [tex]\vec{v}=a\hat{i}+b\hat{j}[/tex] is

[tex]|\vec{v}|=\sqrt{a^2+b^2}[/tex]

The magnitude of [tex]\vec{a}[/tex] is

[tex]|\vec{a}|=\sqrt{(-3)^2+(-6)^2}[/tex]

[tex]|\vec{a}|=\sqrt{9+36}[/tex]

[tex]|\vec{a}|=\sqrt{45}[/tex]

[tex]|\vec{a}|=3\sqrt{5}[/tex]

Modulus of magnitude is

[tex]||\vec{a}||=|3\sqrt{5}|=3\sqrt{5}[/tex]

So, the magnitude of [tex]\vec{a}[/tex] is [tex]3\sqrt{5}.[/tex]

ASAP Mario was given the following enlargement. Side A corresponds to a side with length 24 centimeters. A side with length 6 centimeters corresponds with a side with length 12 centimeters. Figures not drawn to scale. What is the length of side A, in centimeters? 12 15 24 33

Answers

Answer:

The length of side A is 12 cm

Step-by-step explanation:

This question is best answered when there's an attachment; however, the absence of an attachment doesn't mean it can't be solved.

Given

Side A corresponds to 24 cm

Length 6 cm corresponds to Length 12 cm

Required

Find A

The given parameters can be represented mathematically as;

[tex]\frac{A}{24} = \frac{6}{12}[/tex]

With this expression, the value of A can be easily solved

First; multiply both sides by 24

[tex]24 * \frac{A}{24} = \frac{6}{12} * 24[/tex]

[tex]\frac{24 *A}{24} = \frac{6}{12} * 24[/tex]

[tex]\frac{24A}{24} = \frac{6}{12} * 24[/tex]

[tex]A = \frac{6}{12} * 24[/tex]

[tex]A = \frac{6 * 24}{12}[/tex]

[tex]A = \frac{144}{12}[/tex]

[tex]A =12[/tex]

Hence, the length of side A is 12 cm

Answer:

ANSWER:A

Step-by-step explanation:

ANSWER IS A!SAVE YOURSELF! RUN! DON'T FAIL UR TEST!

byeeeeee:)

<3

Answer plz!
Which choices are equivalent to the quotient below? Check all that apply.

Answers

Answer:

A(√2) would be the correct answer.

Answer:

[tex] \boxed{A. \: \sqrt{2} \: \: \: and \: \: \: F. \: \frac{ \sqrt{4} }{ \sqrt{2} }} [/tex]

Step-by-step explanation:

[tex] = > \frac{ \sqrt{18} }{ \sqrt{9} } = \frac{ \sqrt{9 \times 2} }{ \sqrt{9} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ \cancel{ \sqrt{9}} \times \sqrt{2} }{ \cancel{ \sqrt{9} }} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \sqrt{2} [/tex]

[tex]F. \: \frac{ \sqrt{4} }{ \sqrt{2} } = \frac{ \sqrt{2 \times 2} }{ \sqrt{2} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ \cancel{\sqrt{2}} \times \sqrt{2} }{ \cancel{\sqrt{2}}} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \sqrt{2} [/tex]


Y=4x + 6
Y = 6x - 12

Solve the systems of equation by substitution

Answers

Answer:

x=9, y=42

Step-by-step explanation:

y=4x+6

y=6x-12

Substitute the second equation into the first:

6x-12=4x+6

Subtract 4x from both sides:

2x-12=6

Add 12 to both sides:

2x=18

Divide both sides by 2:

x=9

Plug this back into one of the equations to find y:

y=4(9)+6=36+6=42

Hope this helps!

29 40 40 40 40 41 51 56 62 63 whats the interquarile range​

Answers

Answer:

At a glance, we use the middle values and not sure if you have made the outer quartile numbers inclusive.

Based on you doing so we take the 56-40 = 16 range

If you haven't included outside numbers

We take the 63-29 = 34 range

Step-by-step explanation:

Find the value of x in the triangle... Then classify the triangle as acute, right or obtuse

34°, acute
134°, obtuse
44°, right
54°, acute

Answers

Answer:

x = 44

right

Step-by-step explanation:

The sum of the angles in a triangle add to 180

90+ 46+x = 180

Combine like terms

136+x = 180

Subtract 136 from each side

136+x-136=180-136

x =44

Since we have a 90 degree angle it is a right triangle

a park has a 3 meter (m) tall tether ball pole and a 6.8 m tall flagpole. the lengths of their shadows are proportional to their heights. which of the following could be the lengths for the shadows. choose two answers

Answers

Answer:

Step-by-step explanation:

6.8/3 is the scale factor

1.35*(6.8/3)=3.06

1.8*(6.8/3)=4.08

3.75*(6.8/3)=8.5

8.5-8.35=0.15

3.4-3.06=0.34

since C is closer to the right proportion, if there is no option D, it should be the 2 answer you choose

Option B is definetly right, but what about another option, is there an option D?

A photograph measures 8 1/2 inches by 5 3/4 inches. Find its area.

Answers

Answer:

48 7/8

I hope this helps.

Answer:

Step-by-step explanation:

48 7/8

Solve for x in the equation x2 -8x+41=0.
X=-4+ 37i
X = -4 - 5i
X = 4+ 37i

Answers

Answer:

not sure if this is a right answer. but hope this helps

Step-by-step explanation:

The roots of the given quadratic equation are x=-1.6 and x=-6.4.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

here, we have,

given that,

The given equation is x² - 8x + 41 =0.

The given equation can be solved using quadratic equation formula.

Here, by comparing x² - 8x + 41 =0 with ax²+bx+c=0, we get a=1, b=-8 and c=41.

Quadratic equation formula x = -b±√b² - 4ac / 2a

Now, x= -8 ± √ 64 - 41 / 2×1

⇒ x= -8 ± √23 / 2

⇒ x= -8 ± 4.8 /2

⇒ x=-1.6 or x=-6.4

Therefore, the roots of the given quadratic equation are x=-1.6 and x=-6.4.

To learn more about the quadratic equation visit:

brainly.com/question/1863222.

#SPJ7

Work this out for meee

Answers

Answer:

87.5cm²

Step-by-step explanation:

area of trapezium = 1/2 (a+b)h

1/2 × (10 + 15) ×7

1/2 × 25 × 7

1/2 × 175 = 87.5

Answer:

87,5 cm²

Step-by-step explanation:

A = (b + B)×h/2

= (10cm + 15cm)×7cm/2

= 25cm×3,5cm

= 87,5 cm²

Rosalia went on a long bike ride. The table shows how long she biked and the distance she
traveled. Determine whether the relationship between hours biked and miles traveled is
proportional.
-91
O The relationship is not proportional.
O The relationship is proportional.

Answers

Answer:

The relationship is not proportional.

Step-by-step explanation:

To see if many ratios are (fair in amount, related to something else/properly sized compared to something else), you could write them as fractions, reduce them, and compare them. If the reduced fractions are all the same, then you have (fair in amount, related to something else/properly sized compared to something else) ratios.

y/x=c.o.p

c.o.p=constant of proportionality.

the rate of change also know as the constant of (fair in amount, related to something else/properly sized compared to something else)ity (k = y/x) which is the constant ratio between two (fair in amount, related to something else/properly sized compared to something else) amounts y/x represented by the symbol k which may be a positive clear and sensible number. The x value is related to the y value such as in the equation y = kx.

please mark me brainliest:)

Part of the graph of the function f(x) = (x - 1)(x + 7) is
shown below.
Which statements about the function are true? Select
three options.
The vertex of the function is at (-4,-15).
6
The vertex of the function is at (-3,-16).
4
The graph is increasing on the interval x > -3.
2
The graph is positive only on the intervals where x <-7
and where
X > 1.
+
-8
-6
-4
-2
2
х
2.
The graph is negative on the interval x < -4.
4
-6
Mark this and return
Save and Exit
Next
Submit

Answers

Answer:

Step-by-step explanation:

The given function is

[tex]f(x)=(x-1)(x+7)[/tex]

Zeroes of the function are

[tex](x-1)(x+7)=0[/tex]

[tex]x=-7,1[/tex]

It means, f(x) intersect x-axis at x=-7 and x=1.

Mid value of -7 and 1 is the x-coordinate of the vertex.

[tex]\dfrac{-7+1}{2}=-3[/tex]

At x=-3,

[tex]f(-3)=(-3-1)(-3+7)=(-4)(4)=-16[/tex]

So, the vertex of the function is at (-3,-16).

The given function can be written as

[tex]f(x)=x^2+7x-x-7[/tex]

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

Here leading coefficient is negative, it means it is an upward parabola.

So, we conclude that

1. The graph is increasing on the interval x > -3.

2. The graph is decreasing on the interval x < -3.

3. The graph is positive only on the intervals where x <-7 and where x > 1.

4. The graph is negative only on the intervals where -7 < x < 1.

Therefore, the correct options are 2, 3 and 4.

Answer:

THE CORRECT ANSWERS ARE 2,3,4!

Step-by-step explanation:

TOOK THE TEST ON EDGE

A right pyramid on a base 4cm square has a slant edge of 6cm Calculate the volume.
2. The slant edge of a right pyramid with rectangular base is 14. 6cm and height is 1.2 cm .If the length of one of the sides of the base is 8. 4 cm find the surface area.
Please help with at least one.

Please show workings.​

Answers

Answer:

L*b

6*4

24cm

L*b*h

14.6m *1.2cm *8.4cm

=147.168

Answer:

This is the answer to No 1.

Volume= 48√5

Lily likes to collect records last year she had
15 records in her collection this year she
has 24 records what is the increase of her
collection

Answers

the answer would be she had an increase of 9 records this year. so she had 15 last year and this year 24. to get the increase you should subtract the amount she had this year (24) by the amount she had last year (15). this equals 9.
The increase is 9. 24-15 or 15- 24 can be used to solve this. The absolute value of both of them is 9. So the answer is 9 hope this helped :p

Here is a number machine. Write down an expression for the output if the imput is n. input=n) (+2) (x3) (output=?

Answers

Answer:

3n+6

Hope this helps you

Answer:

3n+6

Step-by-step explanation:

I am giving you some data, I want you to make up 2 questions about probability using that data.

You have a bowl of Jelly Belly jelly beans. There are 5 flavors, 25 watermelons, 13 tutti fruitti, 45 cherry, 10 cinnamon, 32 buttered popcorn.

Answers

Answer:

What’s the probability of choosing a tutti fruitti and a cherry jelly bean?

What’s the probability of choosing a watermelon, replacing it, then choosing a buttered popcorn?

Step-by-step explanation:

assemble the proof by dragging tiles HELP ASAP PLEASE!!!!

Answers

what you have to do is move C a little bit down to make it at 26 and than make A , B , and D straight , Hope this helps you , I tried my best

HELLO PLEASE HELO ME.

Answers

Answer:

the answer is 33

Step-by-step explanation:90 - 57=33

Answer:

33 degrees

Step-by-step explanation:

90-57=33

The center is consideirng signing up for an online game-rental service rather than buying the games. The table shows equipment cost and monthly fees for two services.

Equipment cost mouthy cost

Net games 99$ 8$

Equipment cost mouthy fee

anytime games 19$ 19$


1. Write and solve an inequality that represents the number of months the center could rent games from NetGames with its $175. Explain the solution in terms of the problem.


2. Write and solve an inequality to represent the number of months the center could rent games from Anytime Games. Explain the solution in terms of the problem.


3. Use your answers from 1 and 2 to justify which service the community center should purchase.

Answers

Answer:

Here's what I get  

Step-by-step explanation:

Total cost = equipment cost + monthly fee × number of months

Let C = total cost

and e = equipment cost

and f = monthly fee

and x = number of months. Then

C = e + f·x  

The condition is that C ≤ $175 or

e + f·x ≤ $175

1. NetGear

e = $99; f = $5/mo

The condition is  

99 + 5x ≤ 175

[tex]\begin{array}{rcll}99 + 5x & \leq & 175 &\\5x & \leq &76 & \text{Subtracted 99 from each side}\\x & \leq & \dfrac{76}{5} & \text{Divided each side by 5}\\\\x & \leq & \mathbf{15.2} & \text{Simplified}\\\end{array}\\[/tex]

The centre could rent the games for 15 mo.

They would pay $99 for the equipment.

Fifteen months rental at $5/mo = $75.

Total cost = $174.

2. Anytime Games

e = $19; f = $19/mo

The condition is  

19 + 19x ≤ 175

[tex]\begin{array}{rcll}19 + 19x & \leq & 175&\\19x& \leq & 156 & \text{Subtracted 19 from each side}\\x & \leq & \dfrac{156}{19} & \text{Divided each side by 19}\\\\x & \leq & \mathbf{8.2} & \text{Simplified}\\\end{array}\\[/tex]

The centre could rent the games for eight months.

They would pay $19 for the equipment.

Eight months rental at $19/mo = $152.

Total cost = $171.

3. Recommendation

The Community Centre should rent from NetGear.

They can rent for 15 mo without going over the budget.

With the other company, they can rent for only eight months.

The graphs below show how the costs for the two companies vary with the number of months.

Anything above the horizontal orange line at C = $175 is beyond the Community Centre's budget.  

Simplify the product. Write the answer in standard form.
(x2 + 4)(x+3)​

Answers

Answer:

x^3 + 3x^2 + 4x + 12

Please help me with the question

Answers

Answer:

C

Step-by-step explanation:

5a+ 18 < -27

Subtract 18 from each side

5a+18-18 < -27-18

5a < -45

Divide each side by 5

5a/5 < -45/5

a < -9

Open circle at 9, line doing to the left

2 Points

A card game is being played and the 5 of spades, 9 of spades, and 9 of hearts

are drawn from a single deck. In order to win, the next card the player draws

from the deck must be higher than the highest card already drawn. What is

the probability that the next card the player draws is a winning card? (An ace

is considered to have a value of 1 and jacks, queens, and kings have a value

of 10.) Hint: A deck has 52 cards, 4 suits, and each suit has A, 2,3,4,5,6,7,8,

9,10,J,Q,K,

A. 25%

B. 24%

C. 32.6%

D. 8%

Answers

Answer:

C) 32.6%

Step-by-step explanation:

Given:

Total number of cards = 52

3 Cards already drawn = 5 of spades, 9 of spades, and 9 of hearts.

To win the next card drawn must be greater than the highest card already drawn.

Required:

Find the probability of winning

Here, the highest card already drawn is 9 of spades or 9 of hearts.

The cards higher than 9 of spades or 9 of hearts are four in number (10, J, Q, K). Since, we have 4 suits, the highest cards remaining are 4 * 4 = 16.

Also, a total of 49 cards are remaining since 3 cards are already drawn (52 - 3 = 49).

Therefore, the probability that the next card the player draws is a winning card: [tex]\frac{16}{49} = 0.326[/tex]

Convert to percentage:

0.326 * 100 = 32.6%

Which expression gives the length of the transverse axis of the hyperbola
shown below?

Answers

Answer:x-y

Explanation:

Length of transverse axis of hyperbola means distance between both the vertices of hyperbola which is constant given by 2a.

As definition of hyperbola:

Difference in distance of any point (x,y) from both focus is a positive constant equals to length of transverse axis.

So, distance of (x,y) from foci 1)-( distance of (x,y) from foci 2)=2a

x-y=2a

Length of transverse axis is x-y.

hope it helps....

Good luck on your assignment

The length of the transverse axis is x - y if point (x, y) is separated from either focus by a positive constant equal to the transverse axis' length option (C) x - y is correct.

What is hyperbola?

It's a two-dimensional geometry curve with two components that are both symmetric. In other words, the number of points in two-dimensional geometry that have a constant difference between them and two fixed points in the plane can be defined.

We have given a hyperbola shown in the picture.

The green line indicates the transverse axis of the hyperbola.

As we know,

The distance between the two vertices of the hyperbola, which is always given by 2a, is referred to as the length of the transverse axis.

Any point (x, y) is separated from either focus by a positive constant equal to the transverse axis' length.

x-y=2a

The length of the transverse axis =  x - y

Thus, the length of the transverse axis is x - y if point (x, y) is separated from either focus by a positive constant equal to the transverse axis' length option (C) x - y is correct.

Learn more about the hyperbola here:

brainly.com/question/12919612

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Please Help!!! DUE NOW!

Answers

Answer: 37

Step by step explanation:

y+29+40+2y=180°( sum of angle in straight line)

or, y+2y+29+40=180°

or,3y+69=180

or,3y=180-69

or,3y=111

or,y=111/3

y=37

hope it helps

Good luck on your assignment

Given the table of values below, which of the following ordered pairs are
found on the graph of the inverse function?
х
-2
-1
0
1
2
f(x)
12
10
8
6
4

Answers

Answer:

(12,-2), (10,-1), (8,0), (6,1) and (4,2).

Step-by-step explanation:

If a function is defined as

[tex]f(x)=\{(x,y):x\in R,y\in R\}[/tex]

then its inverse is defined as

[tex]f^{-1}(x)=\{(y,x):x\in R,y\in R\}[/tex]

It means coordinates of ordered pairs are interchanged.

From the given table it is clear that the function passing through the points (-2,12), (-1,10), (0,8), (1,6) and (2,4).

Using the above definition, we can say that the inverse function passing through the points (12,-2), (10,-1), (8,0), (6,1) and (4,2).

Therefore, the required ordered pairs are (12,-2), (10,-1), (8,0), (6,1) and (4,2).

A train travels 180 miles in 2 hours. A jet goes 7 times faster. How far can the jet fly in 5 hours? Solve in space above.

Answers

Answer: 3150 miles

Step-by-step explanation: Ok, let's break it down...

180 ÷ 2 = 90 / The train travels 90 mph....

90 * 7 = 630 / The jet travels 630 mph....

630 * 5 = 3150 / The jet will travel 3150 miles in 5 hours, I hope this helps!

Which of the following shows how the number 7 can be rewritten with the difference of squares identity? (16-9)=(4+3)(4-3) (18-11)=(9+6)(9-5) (25-4)=(5+2)(5-2) (16-9)=-1(4+3)(4-3) (64-1)=(8+1)(8-1)

Answers

Answer:

A) (16-9) =(4+3)(4-3)

Step-by-step explanation:

Explanation:-

Given the number = 7

The difference of two numbers  are 16-9 =7

The difference of squares  

                                        4² - 3²  = 7

We will use formula

                 a² - b² = (a-b) (a+b)

                  4² - 3² = (4 -3) (4+3)

                 16 -9 =  (4 -3) (4+3)

Final answer:-

The number 7 can be rewritten with the difference of squares identity

16 -9 =  (4 -3) (4+3)

pls help (mathematics)

Answers

Answer:

Answer is C.

Step-by-step explanation:

When radius is 1, the volume is 4. When radius is 2, it's 32. Which means It becomes 8 times bigger because 32 divided by 4 (32/4) is 8.

Answer:

its not D and its not  A or B so the answer would be C...

Step-by-step explanation:

Other Questions
Which political party wanted free global trade, and why? Please answer this correctly What is the purpose of a good transition in an interpretive essay?A to summarizeB to connect paragraphs to each otherCto connect a quote to your interpretation of the novelD none of the above step 1a)Suppose you are able to download 1 free song to your tablet daily and each additional download costs $0.59. If your monthly bill is $15.34, how many songs did you download if you downloaded 28 free songs? Write an equation and solve for the unknown variable. b)Your uncle Jim lives in England, where the current exchange rate is 1.64 US dollars for each British pound. Solve for the amount of your monthly bill, to the nearest hundredth, if you lived in England. c)If you had an additional 1.65 pounds to download songs, how many more songs could you have downloaded? Write and solve an equation to solve the problem. Describe the step-by-step process you used to solve the problem. Which value is NOT equivalent to the other values?A: 1.5B: 15%C: 3/20D: 0.15 What were two results of the Congress of Vienna?O Poland saw its royal family restored, and Prussia became part of Germany.O France saw its royal family restored, and Poland became part of Russia.O Austria gained territory in Spain, and Italy saw its royal family restoredO Prussia gained territory in Poland, and Germany saw its royal family restored.NextSubmitSave and ExitMark this and return ogWhat conclusion can a reader draw about Rainsford basedon a visualization of the excerpt?Read the excerpt from Part 2 of "The Most DangerousGame" by Richard Connell.Then, wet with sweat and aching with tiredness, hecrouched behind the stump of a lightning-charred tree.He knew his pursuer was coming, he heard the paddingsound of feet on the soft earth, and the night breezebrought him the perfume of the general's cigarette. Itseemed to Rainsford that the general was coming withunusual swiftness, he was not feeling his way along, footby foot. Rainsford, crouching there could not see thegeneral, nor could he see the pit He lived a year in aminuteO He is relievedO He is lostO He is frightened.O He is confused. The rise is thechange in a line. The run is thechange in a line.horizontalvertical Use the triangle below, set up and solve an equation in order to find thevalue of x. (Type the number only). Which expression is equivalent to y times y times y times z times z times z times z? What is the HCF of 36 81? Which of the following made some people from eastern cities want to move west after the Civil War?A. Too many people in eastern citiesB. Big cities with lots of jobs opportunitiesC. Expensive land in the westD. Lots of opportunities to trade with American Indian tribes 1 PointClick to read the passage from The Metamorphosis, by Franz Kafka. Thenanswer the question.One theme from The Metamorphosis is that life is random and illogicalWhich excerpt from the passage best supports this theme?A. He lay on his armour-like back, and if he lifted his head a little hecould see his brown belly, slightly domed and divided by archesinto stiff sections,B. Drops of rain could be heard hitting the pane, which made him feelquite sad.C. The bedding was hardly able to cover it and seemed ready to slideoff any momentD. Doing business like this takes much more effort than doing yourown business at home, and on top of that there's the curse oftravelling Can someone please write a short summary of early colonial governmental policies that are still in use today?Please and thank you Find the volume of a right circular cone that has a height of 8.1 in and a base with a diameter of 7.6 in. Round your answer to the nearest tenth of a cubic inch. Superman is jogging alongside the railroad tracks on the outskirts of Metropolis at 100 km/h. He overtakes the caboose of a 500-m-long freight train traveling at 50 km/h. At that moment he begins to accelerate at 10 m/s2. How far will the train have traveled before Superman passes the locomotive? A ride-sharing car moving along a straight section of road starts from rest, accelerating at 2.00 m/s2 until it reaches a speed of 28.0 m/s. Then the vehicle moves for 41.0 s at constant speed until the brakes are applied, stopping the vehicle in a uniform manner in an additional 5.00 s. (a) How long is the ride-sharing car in motion (in s)? (b) What is the average velocity of the ride-sharing car for the motion described? (Enter the magnitude in m/s.) A roof has the shape of an isosceles triangle with equal sides 8 cm long and base 12 m long. What is the measure of the angle of inclination of the roof to the nearest degree? 25 POINTS!!!!Which of the following statements are true? Select all that apply.A + B = B + AC - D = D - CB + 0 = BE - C = E + (-C)|A| = |E| HELP FAST 32 as a mixed radical