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2 years ago

Write the equation of the parabola that has the vertex at point

Mathematics

1 answer:

Luba_88 [7]2 years ago

5 0

Answer:

-12x²-48x-42.5

Step-by-step explanation:

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At a school carnival, the diameter of the mat of a trampoline is 10 feet and the diameter of its metal frame is 12 feet. What is

GaryK [48]

pi is the ratio of circumference to the diameter of same circle. The length of the metal frame of trampoline considered is: Option D: 37. 7 feet.

<h3>How to find the length of the outer line of a circle?</h3>

Length of the outer line of a circle is called its circumference.

If the circle has got radius of r units length, then

Circumference of that circle = 2π r units = πd units where d is diameter of that circle.

This is why, we get the ratio of circumference to diameter as:

$\dfrac{Circumference}{Diameter} = \pi$

It is given that the trampoline in consideration has got diameter of 12 feet.

It is said that π = 3.14 to be considered (its not its exact value though).

Therefore, we get

$\rm Circumference/12 = 3.14\\\\\text{Multiplying 12 on both sides}\\\\Circumference = 12 \times 3.14 = 37.68 \: \rm feet \approx 37.7 \: feet$

Hence, the length of the metal frame of trampoline considered is obtained as: Option D: 37. 7 feet.

Learn more about circumference of circle here:

brainly.com/question/15211210

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2 years ago

(8*10^(3))(4*10^(8))

Amiraneli [1.4K]

Answer:

3.2 * 10^12

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Y=4x+1 <br> Do x and y vary directly?

vladimir1956 [14]

<span>Slope = 8.000/2.000 = 4.000
x-intercept = 1/-4 = -0.25000<span>
y-intercept = 1/1 = 1.00000

</span></span> <span> y-(4*x+1)=0 </span>

6 0

3 years ago

Factor the polynomial function over the complex numbers. f(x)=x^4-x^3-2x−4 Enter your answer in the box. f(x) = The answer is: (

Vladimir79 [104]

Answer:

Factors: $(x+i\sqrt2)(x-i\sqrt2)(x+1)(x-2)=0$

Step-by-step explanation:

We are given a polynomial:

$f(x)=x^4-x^3-2x-4$

We have to factor the given polynomial into its complex factors.

The factorization can be done as follows:

$f(x)=x^4-x^3-2x-4 = 0\\x^4-x^3-2x-4 = 0\\x^4-4-x^3-2x=0\\\text{Identity: }a^2-b^2 = (a+b)(a-b)\\(x^4-4)-(x^3+2x) = 0\\(x^2+2)(x^2-2)-x(x^2+2) = 0\\(x^2+2)(x^2-2-x) = 0\\(x^2+2)(x^2-x-2) = 0\\(x^2+2)(x^2-2x-+x-2) = 0\\(x^2+2)((x(x-2)+1(x-2))=0\\(x^2+2)(x+1)(x-2)=0\\\text{Identity: }a^2-b^2 = (a+b)(a-b)\\(x^2-(\sqrt{-2})^2)(x+1)(x-2)=0\\(x+i\sqrt2)(x-i\sqrt2)(x+1)(x-2)=0$

8 0

3 years ago

I need help fast!!!!!!!!!!!

Vedmedyk [2.9K]

Answer:

Track 2

Step-by-step explanation:

180 degrees would turn the train completely around so if it entered on track 2 then it left on track 2

7 0

3 years ago