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
mote1985 [20]
3 years ago
14

The stream of water from a fountain follows a parabolic path. The stream reaches a maximum height of 12 feet, represented by a v

ertex of (8,12)​ , and lands 16 feet from the water jet, represented by (16,0)​ . Write a function in vertex form that models the path of the stream
Mathematics
2 answers:
tia_tia [17]3 years ago
8 0

Answer:

y=-3/16(x-8)^2+12

Step-by-step explanation:

Refer to the vertex form equation for a parabola:

y=a(x-h)^2+k where (h,k) is the vertex.

Therefore, we have y=a(x-8)^2+12 as our equation so far. If we plug in (16,0) we can find a:

0=a(16-8)^2+12

0=64a+12

-12=64a

-12/64=a

-3/16=a

Therefore, your final equation is y=-3/16(x-8)^2+12

Stels [109]3 years ago
7 0

Answer:

y = (-5.33)(x - 8)^2 + 12

Step-by-step explanation:

The graph is a parabola which opens down and has its vertex at (8, 12).  We can immediately write y = a(x - 8)^2 + 12, knowing that if x = 8, y = 12.  To find the coefficient '1', substitute 16 for x and 0 for y:

0 = a(16 - 8)^2 + 12, or

-64a = 12, or a = -64/12 = 5.33

Then the desired function is:

y = (-5.33)(x - 8)^2 + 12

You might be interested in
What operation is used to change a PERCENT to a DECIMAL?
ZanzabumX [31]
To convert a percent to a decimal, we divide by 100. This is the same thing we do to convert a percent to a fraction.
3 0
3 years ago
Read 2 more answers
Need help with this one.
ella [17]

Answer:

The answer should be 55

Step-by-step explanation:

All triangles must = 180

70+55+55 = 180

6 0
3 years ago
Read 2 more answers
Factorise<br>3(m-4)+b(4-m)​
Maurinko [17]

Answer:

-(m-4)(b-3)

Step-by-step explanation:

Add and subtract the second term to the expression and factor by grouping

8 0
2 years ago
Read 2 more answers
Is it linear or not? 2x+5xy-3=0.
ArbitrLikvidat [17]

The linear equation in slope intercept form: y = mx + b.

We have:

2x+5xy-3=0\qquad\text{subtract 2x from both sides}\\\\5xy-3=-2x\qquad\text{add 3 to both sides}\\\\5xy=-2x+3\qquad\text{divide both sides by}\ 5x\neq0\\\\y=\dfrac{-2x+3}{5x}

This is not a linear equation.

4 0
3 years ago
Find the area of the following triangle. Show your<br>work!​
11111nata11111 [884]

Answer:

man/woman show the triangle

7 0
3 years ago
Read 2 more answers
Other questions:
  • A rectangle has a length 6 meters longer than double the width. The perimeters is i44 meters. Find the dimensions of the rectang
    8·1 answer
  • I need help fast! This is polynomials help
    5·1 answer
  • Work out 25% of 30 meters?
    5·2 answers
  • A double rotation can ___ be written as a single rotation
    13·1 answer
  • Brought 12 grams of chocolate ate half of the chocolate how many grams of chocolate she ate
    9·2 answers
  • Need help plz very difficult
    10·1 answer
  • What is the slope of the line passing through the point (-3,-1) and the origin?
    15·1 answer
  • What Is 71898-92374?Will Be Brainlist
    5·1 answer
  • The cost is $6.75 for 1 item. Find the cost of 8 items
    10·2 answers
  • Is this a proportional relationship? Please help!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!