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
Ymorist [56]
2 years ago
5

An irrigation system (sprinkler) has a parabolic pattern. The height, in feet, of the spray of water is given by the equation ℎ(

)=−2+10+9.5 h ( x ) = − x 2 + 10 x + 9.5 , where x is the number of feet away from the sprinkler head (along the ground) the spray is.
Mathematics
1 answer:
maw [93]2 years ago
8 0
  1. The irrigation system is positioned 9.5 feet above the ground to start.
  2. The spray reaches a maximum height of <u>84.5 feet</u> at a horizontal distance of <u>5 feet</u> away from the sprinkler head.
  3. The spray reaches all the way to the ground at about 10.87 feet away​

<h3>How to determine the position?</h3>

Since the height (feet) of the spray of water is given by this equation h(x) = -x² + 10x + 9.5, we can logically deduce that the irrigation system is positioned 9.5 feet above the ground to start.

<h3>How to determine the maximum height?</h3>

For any quadratic equation with a parabolic curve, the axis of symmetry is given by:

Xmax = -b/2a

Xmax = -10/2(-1)

Xmax = 5.

Thus, the maximum height on the vertical axis is given by:

h(x) = -x² + 10x + 9.5

h(5) = -(5)² + 10(5) + 9.5

h(5) = -25 + 50 + 9.5

h(5) = 34.5 feet.

Therefore, the spray reaches a maximum height of <u>84.5 feet</u> at a horizontal distance of <u>5 feet</u> away from the sprinkler head.

Also, the spray reaches all the way to the ground at about:

Maximum distance = √34.5 + 5

Maximum distance = 10.87 feet.

Read more on maximum height here: brainly.com/question/24288300

#SPJ1

<u>Complete Question:</u>

An irrigation system (sprinkler) has a parabolic pattern. The height, in feet, of the spray of water is given by the equation h(x) = -x² + 10x + 9.5, where x is the number of feet away from the sprinkler head (along the ground) the spray is.

1. The irrigation system is positioned____ feet above the ground to start.

2. The spray reaches a maximum height of ____feet at a horizontal distance of feet away from the sprinkler head.

3. The spray reaches all the way to the ground at about_____ feet away​

You might be interested in
( I'm new at functions ;_; )<br> What is the value of the function y = 2x + 3 ⁢when x=−1 ?
Natali [406]
Answer: y=1
Explanation: all you have to do is plug in “-1” where x is. So you get: y=2(-1) +3.
Simplify and you have -2+3 which is 1

Hope this helped and pls mark as brainliest!

~ Luna
3 0
3 years ago
Emilio asked his aunt for $20 to buy supplies for his lemonade stand. Once his stand opened he made $40 a day
FrozenT [24]

The equation that represents profit is $40x - $20.

The profit after 5 days in business is $180.

The profit after 10 days in business is $380.

The profit after 10 days in business if revenue is $45 is $430.

<h3>What is profit? </h3>

Profit is total revenue less total cost.

Profit = total revenue - total cost

Profit = $40x - $20

Where:

x = number of days

<h3>What is the total profit after 5 days and 10 days? </h3>

$40(5) - $20

= $200 - $20

= $180

$40(10) - $20

$400 - $20

$380

<h3>What is total profit if revenue is $45? </h3>

$45(10) - $20

= $450 - $20

= $430

To learn more about profit, please check: brainly.com/question/26181966

8 0
2 years ago
Slope and y intercept y=7/4x-10
Andreas93 [3]

Hi there!

The slope is the number in front of x so it is 7/4 or 1 3/4

The y-intercept is the independent number in the equation, so it is -10

Your friend, ASIAX

7 0
3 years ago
Read 2 more answers
Please help, will give brainlist!
eimsori [14]

Answer:

The answer is B. (2.5,-0.5).

Step-by-step explanation:

You would substitute the ordered pair into the first equation, making it

3(2.5)-(-0.5)=8. So the equation would become 7.5-(-0.5)=8, or 7.5+0.5=8. 8=8 is a true statement.

3 0
3 years ago
Find the image of A(-2,4) under a translation (x,y)-&gt;(x-2,y-3)​
vichka [17]

Answer:

Point A would be at the coordinates, (-4, 1). Hope this helps!

4 0
2 years ago
Other questions:
  • The diameter of a circle is 10 meters. What is the area, in square meters , of the circle
    8·1 answer
  • The measure of an angle is 51°. What is the measure of its complement? A. 39° B. 49° C. 129° D. 139°
    15·1 answer
  • If 2 is a factor of n and 3 is a factor of n, then
    8·1 answer
  • Let g(x)=2x and h(x)=x^2+4. Find the value (hog) (1)<br> A)2<br> B)8<br> C)10<br> D)16
    8·2 answers
  • Given the formula I=prt, if p = 8000, r = 0.6, and t = 1, what is the value of "I"?
    9·2 answers
  • How to do it i don’t understand it
    5·1 answer
  • PLEASE HELP ME.)
    5·2 answers
  • What is one eight of 56
    6·2 answers
  • Write an equation of the line with a slope of 3 and a y-intercept of 4.5.
    14·1 answer
  • What is the volume of the sphere in cubic centimeters?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!