Please help with math

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

faltersainse [42]

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

4 0

3 years ago

The sum of two numbers is 52 . The larger number is 12 more than the smaller number. What are the numbers?

lozanna [386]

52/2= 26
12/2= 6
26-6= 20
26+6= 32
20+32=52

Ans: 20 and 32

7 0

3 years ago

Read 2 more answers

What is the value of x?

Vikki [24]

Answer:

46

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5 0

3 years ago

The children from a football club are put into rows in the sports hall.When out in rows of 9 children, there are 2 children left

Anettt [7]

Answer:

The least number of children in the football club is 38.

Step-by-step explanation:

If children put in rows of 9, left out children = 2

If children put in rows of 12, left out children = 2

We will find least number of children in football club by finding LCM of 9 and 12.

Multiples of 9 are: 9, 18, 27, 36, 45, 54, 63,...

Multiples of 12 are: 12, 24, 36, 48, 60, 72, 84,...

As we can see here: The LCM of 9 and 12 is 36.

We are told that 2 children left over from putting them into 9 and 12 children per row. To find least number we will add 2 to 36.

Therefore, the least number of children in the football club is 38.

7 0

4 years ago

My grandson thinks he can cook better than any other

Molodets [167]

The answer is (B). Employing a comma to separate two independent phrases connected by the conjunction "and," avoids the mistake of the original.

<h3>What are jumbled words?</h3>

The reason was given for Wrong Answer A: Incorrect coordination is present in Option (A). Where a comma is required, a semicolon is used instead.

The reason was given for the Wrong Answer C: The sentence produced by option (C) is illogical. It illogically implies that the grandson's success in winning blue ribbons is due to his belief that he is the fair's top chef.

Justification for Wrong Answer D: In the case of option (D), the sentence is irrational. The initial portion of the line, "To think... fair," and the latter section of the sentence has no connection to one another ("my grandson . . . to prove it.").

Justification for Wrong Answer E: The sentence produced by option (E) is irrational. It is illogical to claim that the grandson's blue ribbons demonstrate that he was "thinking he can cook better... fair."

To learn more about it jumbled words, visit:

brainly.com/question/16029795

#SPJ4

4 0

1 year ago