A water taxi travels around an island in a path that can be modeled by the equation y=0.5(x-14)^2 . A water skier is skiing along a path that begins at the point (6,4) and ends at the point (8,4)
Write a system of equations to model the problem.
Is it possible that the water skier could collide with the​ taxi? Explain

Answers

Answer 1

Answer:

 

A water taxi travels around an island in a path that can be modeled by the equation y =0.5(x - 16). A water skier is skiing along a path that begins at the point (6,6) and ends at the point (8. - 4).

a. Write a system of equations to model the problem.

b. Is it possible that the water skier could collide with the taxi? Explain

Step-by-step explanation:


Related Questions

Solve the Inequality. Please help answer needed fast! :)
m - 3 > -2

Answers

Answer:

[tex]m - 3 > - 2 \\ m > - 2 + 3 \\ m > 1[/tex]

Answer:

1

Step-by-step explanation:

Solve for y.
3.23(y – 18) - 19.17 = -19.17

у = ?


*please explain to me, step by step, how you got the answer, too, so I can understand.

Answers

Answer:

y = 18

Step-by-step explanation:

3.23(y – 18) - 19.17 = -19.17

3.23y - 18 x 3.23 = -19.17 + 19.17

3.23y - 58.14 = 0

3.23y = 58.14

3.23y/3.23 = 58.14/3.23

y = 18

Averages Question please help!

Answers

Hope this helps
1.48 to 2 decimal places

PLEASE HELP I WILL GEIVE BRAINLIEST AND 20 POINTS Which are characteristics of scientific questions? Check all that apply.


asking about subjective matters

having a wide focus on many topics

addressing a gap in knowledge

possibly leading to a testable hypothesis

already having fully confirmed explanations

Answers

Answer: 3 and 4

Step-by-step explanation: I took the quiz

I need answers too these two questions pls

Answers

can you show the options? so i can chooseffffndnsns
1.) the government private business.

easy just dont have time
Solve for x.

ax + b = r

Answers

Answer:

x=r-b/a

Step-by-step explanation:

ax=r-b

x=r-b/a

Answer:

x = r - b/a

Step-by-step explanation:

ax + b = r (Given)

ax = r - b (Subtract b on both sides)

x = r - b/a (Divide a on both sides)

Simplify the following expression (2x⁴y⁻³)⁻¹

Answers

Answer:

please make sure the input is complete.

Step-by-step explanation:

Coach leonardo used 9 1/2 meters of string to mark a soccer field for a game. He also used 2 2/5 meters of string to mark a spot where coaches and players will be standing during the game. Which expression could be used to determine the amount of string in meters, coach lenore i used altogether

Answers

Answer:

10 19/10 meters

Step-by-step explanation:

Step one:

given data

let the amount of string used for the soccer field be x

and the amount used for coach spot be y

Also, let the total string used be represented as T

Step two:

Hence the expression for the total is

T= x+y

T= 9 1/2+ 2 2/5

T= 9.5+ 2.4

T= 11.9

or

T= 119/10 meters

or

T= 10 19/10 meters

please help>>>>>>>>>>>>>>>>

Answers

Answer:

The answer is B, -5 is a rational number and integer! :)

Step-by-step explanation:

Answer: My guess is integer only

Step-by-step explanation:

A 4-meter ladder is placed against a wall so
that it reaches a height of 3.7m. To the nearest
tenth of a meter, how far away from the base
of the wall are the feet of the ladder?

Answers

Answer:

1.5 meters.

Step-by-step explanation:

The ladder is 4 meters.

It reaches the height of 3.7 meters on a wall.

This creates a right angled triangle of hypotenuse (4 meters) and height (3.7 meters).

We are to find the base length.

Applying the Pythagorean theorem;

a² + b² = c² , where a is the base length, b is the height length and c is the hypotenuse length.

∴ a² = c² - b² = 4² - 3.7² = 2.31

a (base length) = [tex]\sqrt{2.31}[/tex] = 1.519868415 meters

To round off the answer to the nearest tenth of a meter;

Tenth of a meter = [tex]\frac{1}{10}[/tex] × 1 meter = 0.1 meters

So we're rounding off the answer to one decimal place.

I.e 1.519868415 meters = 1.5 meters (rounded off to the nearest tenth of a meter.

If you help I'll mark as brainliest

Answers

Answer:

i need ponts

Step-by-step explanation:

use the quadratic formula to solve for x. 3x^2+9x+4=0

Answers

Answer:

x=−3/2 +1/6√33 or  x=−3/2 + −1/6√33

Step-by-step explanation:

Let's solve your equation step-by-step.

3x2+9x+4=0

For this equation: a=3, b=9, c=4

3x2+9x+4=0

Step 1: Use quadratic formula with a=3, b=9, c=4.

x=−b±√b2−4ac/2a

x=−(9)±√(9)2−4(3)(4)/2(3)

x=−9±√33/6

What number should go in the box? 34816=▢+4000+800+10+6

Answers

Answer:

30,000 number should go in the box

Answer:

30000.

Step-by-step explanation:

34816=▢+4000+800+10+6

34816 = ▢ + 4816

▢ =  34816 - 4816

= 30000

What is the equation in standard form of a line that passes through the point (-2, 5) and has a slope of -0.3?

Answers

Answer:

y= −0.3x+4.4

Step-by-step explanation:

To factor the expression 3x2 – 9x, Caleb found the GCF as shown. List the factors: 3x2 = 3 • x • x 9x = 3 • 3 • x GCF = 3 • 3 • x • x = 9x2 What is Caleb’s error? Caleb factored 3x2 incorrectly. Caleb factored 9x incorrectly. Caleb found the product of all factors, not just the ones common to each term. Caleb did not make an error.

Answers

Answer:

Caleb found the product of all factors, not just the ones common to each term.

Step-by-step explanation:

answer

Caleb found the product of all factors, not just the ones common to each term. Then the correct option is C.

What is a factorization?

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The expression is given below.

⇒ 3x² – 9x

The factor of 3x² will be 3 · x · x.

The factor of 9x will be 3 · 3 · x.

GCF = 3 • 3 • x • x = 9x²

Caleb found the product of all factors, not just the ones common to each term.

Then the correct option is C.

More about the factorization link is given below.

https://brainly.com/question/6810544

#SPJ2

A store buys an item for $94. The store then prices the item to sell to customers. What is the selling price (in dollars) the store sells the item to customers for after applying a 62% markup? If necessary, round the answer to the closest hundredth.

Answers

Answer:

$152.28

Step-by-step explanation:

In order to determine the markup, multiply the original price by 62%

94 x 62% = 94 x .62 = 58.28

In order to determine the sale price, add the markup to the original price.

94 + 58.28 = $152.28

Please help me with this

Answers

Answer:

6 4/5

Step-by-step explanation:

2 4/5 x 2 3/7 = 6 4/5

Hope this helped you

The answer is 6 4/5.

. Mark's profile picture is 4 inches tall, but his actual height is 76 inches. What is the scale factor from his profile picture to his actual height?

Scale factor =
19
72
16
38
3b. If the profile picture of Mark's sister is 3.5 inches tall, how tall is her actual height?
Her actual height is _____ inches.
70
82
59.5
66.5

Answers

Step-by-step explanation:

Answer: 19, because all you´re doing for mark is dividing his actual height from the profile picture.

Marks sister: 66.5, because you will take her height (3.5) and you will put x over 3.5 in fraction form. Then you will take marks profile picture height, and put it in fraction form (76 over 4) then you will cross multiply 3.5 and 76 which will give you 266. Then you´ll divide 266 by 4 which would give you 66.5

The following graph shows the solution to which
inequality?
ANSWER BOTH PLEASE QUICK

Answers

Answer:

B. 5a-9<=11

Step-by-step explanation:

Heres a tip: ALWAYS look at the sign, if there is no line under the sign then it will always always be an open circle. also look at what way the sign is pointing so if the sign is this < then the line will go to the left

What are the correct answers?

Answers

1. y= -x - 15
2. y= -4x + 1/2
3. y= 2x + 1
4. y= 2/3x + 3
5. y= -1/2x - 4
6. y= -3x + 13

Glad I could help

Max makes a scale drawing of the distance between Salt Lake City and Arizona. The distance between Salt Lake City and Arizona is 21 cm on the scale drawing. If each 7cm on the scale drawing equals 250 kilometers, how far apart are they actually?

Answers

Answer:

Actual distance = 750 km

Step-by-step explanation:

Given:

Scale drawing of distance = 21 cm

Scale ; 7 cm = 250 km

Find:

Actual distance

Computation:

Actual distance = 21[250/7]

Actual distance = 3[250]

Actual distance = 750 km

Please I need ur help, ASAP!!!! 20 points
The graph below represents which system of inequalities? (2 points)

graph of two infinite lines that intersect at a point. One line is solid and goes through the points 0, 2, negative 2, 4 and is shaded in below the line. The other line is solid, and goes through the points 0, 2, 2, 0, and is shaded in below the line.

A: y ≤ −2x + 3
y ≤ x + 3
B: y ≥ −2x + 3
y ≥ x + 3
C: y ≤ −3x + 2
y ≤ −x + 2
D: y > −2x + 3
y > x + 3

Answers

B is the correct answer to your question I think
sorry if I’m wrong but I think c

I just need to know if it’s a b c or d please and thx u

Answers

Answer:

i think its B

Step-by-step explanation:

sorry if its wrong have a good day/night ;)

Question is in picture ​

Answers

Answer:

[tex] \frac{y - 3}{x - 0} = \frac{3 - 1}{0 - 1} = \frac{2}{ - 1} \\ \frac{y - 3}{x} = - 2 \\ y - 3 = - 2x\\ 2x + y - 3 = 0 \\y = - 2x + 3 \\ \boxed{f(x) = - 2x + 3}[/tex]

B. is the right answer.

hope this helps.

You've analyzed each game. Which game earns
you more points?

A.game 1 (200 points per hit)
B. Game 2 (points double on each hit)
C. It depends

Answers

Answer:

C, For up to 11 hits, Game 1 gives the player higher scores. But for 12 or more hits, Game 2 does. That's because exponential growth eventually exceeds linear growth.

Step-by-step explanation:

Answer:

C, For up to 11 hits, Game 1 gives the player higher scores. But for 12 or more hits, Game 2 does. That's because exponential growth eventually exceeds linear growth.

Step-by-step explanation:

Given ABC, what is the value of x? Write the answer as a decimal number

Answers

9514 1404 393

Answer:

  12.25

Step-by-step explanation:

The angle bisector divides the triangle sides proportionally, so we have ...

  x/3.5 = 7/2

  x = 3.5×7/2 . . . . multiply by the denominator

  x = 12.25

_____

Additional comment

The proportion can be written 4 ways. I find it convenient to write it with the unknown value in the numerator. That way, the solution is found in one step: multiply by the denominator.

On a softball field, home plate is 43 feet from the pitcher’s mound. A ball is hit at an angle of 27° east of the pitcher’s mound. The ball travels 162 feet before it is caught by an outfielder.

A triangle is drawn on a baseball field. A point is at home plate, another point is at the pitcher apostrophe s mound, and another point is at an outfielder. The distance from home plate to the pitcher is 43 feet. The distance from home plate to the outfielder is 162 feet. The angle between the 2 sides is 27 degrees.

Law of cosines:

How far must the outfielder throw the ball to return it to the pitcher? Round to the nearest foot.

112 feet
125 feet
145 feet
156 feet

Answers

Answer: The answer is 125ft

Step-by-step explanation: I just did it

The law of cosines formula gives the square of the distance the

outfielder must throw the ball.

Correct response:

The distance the outfielder must throw the ball to return it to the pitcher is approximately 125 feet.

How to use the cosine rule to find the distance

Distance of the home plate from the pitcher's mound = 43 feet

Angle at which the ball is hit = 27° east of the pitcher's mound

Distance the ball travels before it is caught = 162 feet

The sides, b and c, and the included angle, A, of the triangle drawn are respectively;

b = 43 feet

c = 162 feet

A = 27°

The length of the third side, a of the triangle is the distance from the outfielder to the pitcher.

According to law of cosines, we have;

a² = b² + c² - 2·b·c·cos(A)

a² = 43² + 162² - 2 × 43 × 162 × cos(27°) ≈ 15679.497105

Approximating to the nearest foot, we get;

a ≈ 125 feet

The distance the outfielder must throw the ball to return it to the pitcher is a ≈ 125 feet.

Learn more about the law of cosines here:

https://brainly.com/question/2491835

ANSWER THE QUESTIONS!!!!!!!!!!!!

Answers

Answer:

(x-4)^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Download Socratic it will give you all the answers trust me it’s like a human calculator which is smarter

Matthew drives at an average speed of 62 mph for 5 hours
B) how many miles does Matthew drive

Answers

Matthew drives 310 miles

Answer:

310

Step-by-step explanation:

62 multiplied by 5 will get you the answer

Mr. Greene is preparing 28 bags of materials for his art class. Each bag needs 40 glass tiles. How many glass tiles are needed?

______ glass tiles

Answers

Answer:

Glass tiles needed

[tex] = (28 \times 40) \\ = 1120 \: tiles[/tex]

1120 because 28 * 40 is equal to that
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