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
Delicious77 [7]
3 years ago
5

An arch is in the shape of a parabola. It has a span of 100 feet and a maximum height of 25 ft.

Mathematics
1 answer:
faltersainse [42]3 years ago
4 0

Answer:

y=-\frac{1}{100}(x-50)^2+25

the height of the arch 10 feet from the center is 24 feet

Step-by-step explanation:

An arch is in the shape of a parabola. It has a span of 100 feet, the vertex lies at the center 50 and the maximum height of 25 ft.

Vertex at (50,25)

vertex form of the equation is

y=a(x-h)^2+k, (h,k) is the center

y=a(x-50)^2+25

the parabola starts at (0,0) that is (x,y)

0=a(0-50)^2+25

subtract 25 from both sides

-25=a(-50)^2

-25=a(2500)

divide both sides by 2500

a=-\frac{1}{100}

y=-\frac{1}{100}(x-50)^2+25

the height of the arch 10 feet from the center.

center is at 50, 10 feet from the center so x=40 and x=60

y=-\frac{1}{100}(40-50)^2+25

y=24

the height of the arch 10 feet from the center is 24 feet

You might be interested in
The amount of paper recycled is directly proportional to the number of trees that recycling saves. If recycling 2,000 pounds of
aleksandrvk [35]
Aproximately 42 trees my friend
7 0
3 years ago
Simplify the expression.<br> I NEED HELP PLEASE!!!
tatiyna

Answer:

-27/64p^3  

Tell me if you want a step by step. :)

7 0
2 years ago
A soccer ball is kicked toward the goal. The height of the ball is modeled by the function h(t) = −16t2 + 48t where t equals the
zlopas [31]
1. The function h(t)=-16t^{2}+48t is a parabola of the form ax^{2}+bx. The the formula for the axis of symmetry of a parabola is x= \frac{-b}{2a}. We can infer from our function that a=-16 and b=48, so lets replace those values in our formula:
x= \frac{-b}{2a}
x= \frac{-48}{-2(16)}
x= \frac{-48}{-32}
x= \frac{3}{2}
x=1.5
We can conclude that to the left of the line of symmetry the ball is reaching its maximum height, and to the right of the line of symmetry the ball is falling.

2. Lets check how much time the ball takes to reach its maximum height and return to the ground. To do that we are going to set the height equal to zero:
0=-16t^{2}+48t
-16t(t-3)=0
t=0 or t-3=0
t=0 or t=3
From our previous point we know that the ball reaches its maximum time at t=1.5, which means that <span>it takes 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground.</span>

7 0
3 years ago
Read 2 more answers
Convert the angle 45°29'13" to decimal degrees and round to the nearest hundredth of a degree
Bad White [126]
Add this. 45+ \frac{29}{60}+ \frac{13}{3600}
4 0
3 years ago
Read 2 more answers
Grade geo<br> Practice 7.3
TiliK225 [7]

Answer:

Nice to hear that, congrats with practice 7.3

4 0
2 years ago
Read 2 more answers
Other questions:
  • What is the length of BC?<br> ____ Units
    6·2 answers
  • Yesterday, Nancy's lunch cost $9.80, and she left a $1.47 tip. Today, Nancy's lunch cost $12.60. If she tips at the same rate th
    9·2 answers
  • Is 50 square root plus 2 square root irrational and equal to which of these four options
    10·1 answer
  • MEDALS REWARDED!. . Find the exact value of (cos-1) square root of two divided by two.
    7·1 answer
  • Is x÷9=-4 an expression or equation
    11·2 answers
  • PLEASE HELP AND SHOW WORK ILL GIVE BRAINLIEST
    12·1 answer
  • A cook needs 42 pieces of tomato for salads The cook has 4 tomatoes He cuts each tomato into 6 pieces
    12·1 answer
  • If i had a kid on october 6th and another 12 months later how old would the first kid be
    15·2 answers
  • Given the expression 7p + 5q + 4p - 2q, what is the result of combining the like terms?
    13·1 answer
  • I need help please help me i’m freaking out and I really need this
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!