1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
MA_775_DIABLO [31]
3 years ago
14

In a baseball game, an outfielder throws a ball to the second baseman. The path of the ball is modeled by the equation y=-1/900(

x-375/2)^2+705/16, where y is the height of the ball in feet after the ball has traveled x feet horizontally. The second baseman catches the ball at the same height as the height at which the outfielder released it. How far was the second baseman from the outfielder at the time he caught the ball?

Mathematics
1 answer:
liberstina [14]3 years ago
4 0

Answer:

The second base 375 feet away from the outfielder.

Step-by-step explanation:

The given equation is

y=-\frac{1}{900}(x-\frac{375}{2})^2+\frac{705}{16}

Where y is the height of the ball in feet after the ball has traveled x feet horizontally.

Put x=0, to find the initial height of the bal.

y=-\frac{1}{900}(0-\frac{375}{2})^2+\frac{705}{16}

y=-\frac{1}{900}(\frac{140625}{4})+\frac{705}{16}

y=-\frac{625}{16}+\frac{705}{16}

y=\frac{80}{16}

y=5

Therefore the initial height of the ball is 5 feet.

The second baseman catches the ball at the same height as the height at which the outfielder released it.

Put y=5 at find the another value of x, for which the height of the ball is 5.

5=-\frac{1}{900}(x-\frac{375}{2})^2+\frac{705}{16}

-\frac{1}{900}\left(x-\frac{375}{2}\right)^2=-\frac{625}{16}

\left(x-\frac{375}{2}\right)^2=\frac{140625}{4}

x-\frac{375}{2}=\pm \sqrt{\frac{140625}{4}}

x=\frac{375}{2}\pm \frac{375}{2}

x=0,375

Therefore the second value of x is 375 for which the height of ball is 5.

Therefore the second base 375 feet away from the outfielder.

You might be interested in
What is the equation of a line that passes through the point (8, 1) and is perpendicular to the line whose equation is y=−2/3x+5
Kazeer [188]
Y = -2/3x + 5....the slope here is -2/3. A perpendicular line will have a negative reciprocal slope. To find the negative reciprocal, we flip the slope and change the sign. So our perpendicular line will have a slope of 3/2 (see how I flipped -2/3 making it -3/2....and then changed the sign, making it 3/2)

y = mx + b
slope(m) = 3/2
(8,1)....x = 8 and y = 1
now we sub and find b, the y int
1 = 3/2(8) + b
1 = 12 + b
1 - 12 = b
-11 = b

so ur perpendicular equation is : y = 3/2x - 11 <==
5 0
3 years ago
Read 2 more answers
I AM IN NEED OF HELP THANKYOU
Varvara68 [4.7K]
Oh okay I’m not going home I’m sorry I don’t have to sleep tueitu lol I
8 0
3 years ago
How many times is 0.7m in 28m
astra-53 [7]
Solve:-

28 ÷ 0.7 = 40
28m ÷ 0.7m = 40

0.7 goes 40 times in 28m.
4 0
3 years ago
Read 2 more answers
Can somebody help me with this question please ?
inysia [295]

Answer: No.

Step-by-step explanation: g should also be factored out. 10g(a - 3z).

4 0
3 years ago
At the beach, Nardia collected triple the number of seashells that Pierre did. Together, they collected 52 seashells. Which equa
Whitepunk [10]

Answer:

p=number of seashells pierre collected

p+3p=52

4p=52

p=13

13 seashells

6 0
3 years ago
Read 2 more answers
Other questions:
  • Write an equation for the cubic polynomial function whose graph has zeroes at 2, 3, and 5.
    12·2 answers
  • The figure below shows a rectangle ABCD having diagonals AC and DB: A rectangle ABCD is shown with diagonals AC and BD. Anastasi
    6·1 answer
  • Use the clues to find the mystery number. The mystery number is –
    12·2 answers
  • Convert 45 mg to kg.<br> Help?
    12·1 answer
  • Which graph is a function, and explain how you knew whether each graph was a function or not.
    8·1 answer
  • Find the lowest common multiple (LCM) of 6, 10 and 14. *
    10·2 answers
  • Choose ALL terms like 5x?
    11·1 answer
  • What is the linear equation that has slope of 5 and pass through the point (-1, -3)?
    10·1 answer
  • Mark owns a personal training business. He makes a total of $500 for every 3 clients he acquires.
    6·1 answer
  • xy=22 as a proportion please :) It would mean a lot if I could get a fast response! Please explain in detail because I don't get
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!