A tunnel is in the shape of a parabola.if the tunnel is 40 feet wide and has a maximum height of 12 feet. write the equation of the quadratic function that represents the tunnel(let the axis of symmetry be the y-axis)​

Answers

Answer 1

9514 1404 393

Answer:

  y = -0.03x² +12

Step-by-step explanation:

For "tunnel" or "arch" or "bridge" problems, I like to start with the expression ...

  y = 1 - x²

It has a height of 1 and intersects the x-axis at ±1. This can be scaled to give the appropriate height and x-intercepts.

We want the x-intercepts to be ±20, so we can scale this horizontally by a factor of 20:

  y = 1 -(x/20)²

We want the height to be 12, so we can scale it vertically by a factor of 12:

  y = 12(1 -(x/20)²

  y = 12 -12(x²/400)

  y = -0.03x² +12

 A Tunnel Is In The Shape Of A Parabola.if The Tunnel Is 40 Feet Wide And Has A Maximum Height Of 12

Related Questions

Select the word to make the statement true.

Similar polygons are ____ the same size.
A. always
B. sometimes
C. never

Answers

Answer:

B.

Hope that helps!

Step-by-step explanation:

Answer:

B. Sometimes

Step-by-step explanation:

Hope this helps!

I have to find the value of x

k so I tried, and honestly I'm not sure what I'm doing wrong but I'm not sure how to solve it. If anyone could help that would be lovely :') thank youu​

Answers

Answer:

x = 25

Step-by-step explanation:

A quadrilateral is inscribed in a circle, so it is a cyclic Quadrilateral.

Opposite angles of a cyclic quadrilateral are supplementary.

Therefore,

3x + 21y = 180°.....(1)

2x + 26y = 180°.....(2)

From equations (1) & (2)

3x + 21 y = 2x + 26y

3x - 2y = 26y - 21y

x = 5y

y = 1/5 x

Plug y = 1/5 x in equation (1)

3x + 21*1/5x = 180

15x + 21x = 180*5

(Multiplying both sides by 5)

36x = 900

x = 900/36

x = 25

yall the ones with boxes help

Answers

Answer:

16

Step-by-step explanation:

If the store sells 2 printers for every 5 computers

40/5 is 8. this means there are 8 sets of 5 computers

8x2 is 16 since for every 5computers, 2 printers are sold

Here is an expression: 4•3^x


a. Evaluate the expression when x = 2


b. Evaluate the expression when x = 4.

Answers

Answer:

First one is 36 and second one is 324!!!

Which property of equality is used to solve the equation 5n = 50?
What property of equality would you use to solve the equation n/4 = 16.

Answers

Answer:

To solve 5n = 50, I would use the property of division.

To solve n/4 = 16, I would use the property of multiplication.

Hope this helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

33°
114"
33
A) right scalene
B) acute scalene
C) obtuse isosceles
D) equilateral

Answers

Answer:

b acute I think so ok but that was a weird quistoin

what is the value of x?
12
15
20
24​

Answers

Answer:

15

Step-by-step explanation:

how to round 8.798 to the nearest cent

Answers

Answer:

8.80

Step-by-step explanation:

Answer:

8.80

Step-by-step explanation:

The hundredths place is occupied by the 9.

First, drop the last 8.

8.79

Since the digit to the right of the dropped 9 is an 8, you round up.

8.79 becomes 8.80

Answer: 8.80

A store pays $24 for a jewelry box and marks the price up by 20%. What is the amount of
the mark-up?

Answers

Answer:

$4.8

Step-by-step explanation:

$24×20/100=$4.8

Which of these is the quadratic parent function?



f(x) = x2


f(x) = |x|


f(x) = x


f(x) = 2x

Answers

Answer:

the first one

f(x) = x²

its making me write more

9 + 15m



factorisation of algebraic expression that contain common factor​

Answers

The common factor would be 3 because 3 is the highest multiple of 15 and 9

Answer:3(3+5m)

Step-by-step explanation:

$4000 is compounded annually at a rate of 7% for 7 years.

Answers

Answer:

hey i think its $16,819 i'm so sorry if i get it wrong

Step-by-step explanation:

42
40
x
Find the unknown side length, x. Write your answer in simplest radical form.
A. 2.41
B. 429
C. 48
D. 58

Answers

Answer:

Your answer is D. 58

Step-by-step explanation:

x= [tex]\sqrt{(42^2+40^2)}[/tex]

A shopkeeper buys a stove from a manufacturer for $100.The selling price if he makes a profit of 15%

Answers

Answer:Selling Price = $115

Step-by-step explanation:

Selling price = Cost price + Profit

Cost price = $100

Profit = 15% = 15%  x 100 = $15

Selling Price = $100 + $15= $115

OR

Selling Price  =  Cost price + Profit

Selling Price =$100 + (15% of $100)

Selling Price = $100+ $15

= $115.

What is the square root of ten rounded to the nearest 100th

Answers

Answer:

3.162

Step-by-step explanation:

√10 = 3.162

Answer:

Step-by-step explanation:

I hope I can use a calculator and not use logs or a type of long division!

√10 = 3.16227

The hundredth place is the 6. The next place is a 2 which does not have any effect on the 6.

Answer: 3.16

The triangle below are similar find the lengths of the missing side.

Answers

Answer:

The answer is b =9

Step-by-step explanation:

20:12=15:b

5:3=15:b

cross multiply

5×b=3×15

5b=45

divide both sides by 5

b=45÷5

b=9


URGENT!!!!

Find Perimeter of the square with the side 15 in.
Use formula P=4s
100 in
60 in
225 in
30 in

Answers

Answer:

It's 60 in

Step-by-step explanation:

P = 4s

P = 4 x 15

P = 60 in

a
The expression ax²+bx+c is divisible by x-1, has a
remainder of 2 when divided by x+1 and has a remainder of 8 and when divided by x-2 find the values of a, b, and c and
factorise completely.​

Answers

Answer:

(x - 1)(3x + 2)

Step-by-step explanation:

By the Remainder theorem

Given expression is divisible by x - 1 then f(1) = 0

when divided by (x + 1) then f(- 1) = 2

when divided by x - 2 then f(2) = 8

Substitute x = 1, x = - 1, x = 2 into the expression , that is

a + b + c = 0 → (1)

a - b + c = 2 → (2)

4a + 2b + c = 8 → (3)

Subtract (1) from (2) to eliminate a and c

- 2b = 2 ( divide both sides by - 2 )

b = - 1

Subtract (1) from (3) to eliminate c

3a + b = 8 ← substitute b = - 1

3a - 1 = 8 ( add 1 to both sides )

3a = 9 ( divide both sides by 3 )

a = 3

Substitute a = 3, b = - 1 into (1) and evaluate for c

3 - 1 + c = 0

2 + c = 0 ( subtract 2 from both sides )

c = - 2

Then a = 3, b = - 1, c = - 2

Thus

ax² + bx + c

= 3x² - x - 2

= (x - 1)(3x + 2) ← in factored form

Please, somebody, solve this quick and reply with step by step explanation AND provide all steps of working!
If these will be there then I will mark them as BRAINLIEST!

Answers

Answer:

For a trapezium of height H, parallel side 1 X, and parallel side 2 Y, the area is:

A = (1/2)*H*(X + Y)

with this we can complete the table.

a)

Here we know:

X = 7cm

Y = 11cm

H = 6cm

Then: A = (1/2)*6cm*(7cm + 11cm) = 54 cm^2

b)

Here we know:

X = 8 m

Y = 10 m

A = 126 m^2

Then:

126 m^2 = 0.5*H*(8m + 10m)

126 m^2 = H*9m

126 m^2/9m = H = 14m

Then the height of this trapezoid is 14m

c)

Here we know:

X = 5mm

H = 8mm

A = 72 mm^2

Then:

72 mm^2 = 0.5*8mm*(5mm + Y)

72 mm^2 = 4mm*(5mm + Y)

72mm^2/4mm = 5mm + Y

18 mm = 5mm + Y

18mm - 5mm = Y

13 mm = Y

Then the parallel side 2 is 13 mm long.

Alex was thinking of a number. Alex doubles it the adds 20 to get answer of 22.7. What was his original number.

Answers

Answer:

2.7

Step-by-step explanation:

Let the number alex think be x

Answer = 22.7

According to the question,

x + 20 = 22.7

x = 22.7 - 20

x = 2.7

Therefore, his original number is 2.7

Plz mark me as brainliest

Have a great day

Which of the following represents a polynomial expression? Select one: A. 2x + 3log(x) + 5 B. 10x−−√ − 2 C. (x + 1)(x - 1) D. 4x + 2(3x + 3)

Answers

Answer:

none!

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

Explanation: I searched up "what don't polynomials have"

if f(x) =2x/X-5

Find f^-1(x).​

Answers

Step-by-step explanation:

Let f(x)=y

y=2x/X-5

y(x-5)=2x

xy-5y=2x

x(y-2)=5y

x=5y/y-2

Apply x=5y/y-2, on f(x)

f(5y/y-2)=2(5y/y-2)/[(5y/y-2)-5]

=(10y/y-2)/[(5y-5y+10)/y-2]

=10y/10

=y

So f^-1(x)=5y/y-2

What is the solution to the equation below? Round your answer two decimal places. 3^x = 9.2

Answers

3x = 9.2 ⇒ x = 2.02000606

Answer:

X=2.02

Step-by-step explanation:

Isabel has 6.75 bags of coffee. A full bag weighs 5.2 pounds. How many pounds of coffee does Isabel have? *

11.77
11.95
31.5
35.1

which one ^

Answers

Answer:

35.1

Step-by-step explanation:

6.75x5.2=35.1

Analyze the diagram below and complete the instructions that follow.

Find the value of x.

Answers

Answer: I believe the answer is C.

Step-by-step explanation: In special case isosceles right triangles the hypotenuse is always equal to a · √2. With a=5√2 we can set up the equation 5√2 · √2 = 10.

i don’t get scientific notation. can someone help me on this?

Answers

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It may be referred to as scientific form or standard index form, or standard. Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8.

What's the answer to this questions?

Answers

i believe the answer is 2 :) .

PLEASE HELP ILL GIVE YOU BRAINLIST !!! I DONT UNDERSTAND THIS

Answers

Answer:c=2 √1129 or c=−2 √1129

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

c^2=4516

Step 2: Take square root.

c=±√4516

c=2√1129 or c=−2√1129

What the other dude said ‍♂️

Help me Please I will give brainliest! (please dont answer if you dont know)

Answers

Answer:

16.5 feet or

about 17 feet long.

Step-by-step explanation:

A = bh

Squares have equal side lengths all around so with there being 4 sides, you will take 66 and divide by 4.

66 ÷ 4 = 16.5

So it is about 17 feet

Find the area of the figure

Answers

Answer:

Answer is 50 m squared

Step-by-step explanation:

Answer:  32.5cm

Step-by-step explanation:

i hope this helps

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