A softball thrown into the air has a parabolic trajectory. After reaching a maximum height of 28 feet, the ball covers a ground distance of 4 feet before hitting the ground. Which equation describes the ball’s trajectory?

Answers

Answer 1

Answer: If the take the origin as the starting point of the ball, then the vertex would be (4,28) and the parabola would be facing downwards. Using the general form of the parabola which is (x-h)^2 = 4p(y-k) where h and k are taken from the coordinate of the vertex (h,k).
So, the equation would be, (x-4)^2)=4p(y-28). To determine 4p, we can substitute either of the two points: (0,0) or (0,8). The second coordinate is taken from the given that the ball covers a distance of 4 ft after it reaches a maximum height. The total distance traveled by the ball is twice that, which is 8 ft.
After substituting, 4p = -4/7. Plugging this into the equation and after expanding and simplifying, the equation of the ball's trajectory is:
y = (-4/7)x^2+14x

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How did vertical integration help the Carnegie steel business? It reduced the costs along the supply chain, from mining to transportation to manufacturing.
It gave the company a monopoly on the industry because it eventually owned its competitors.
It assigned one worker to a job, which helped reduce wasted time and speed manufacturing.
It provided quick and easy access to transportation methods, such as canals, rivers, and railways.

Answers

The vertical integration assist the Carnegie Steel business as it decreased expenses all the way from mining to transportation to production. Thus, option first is correct.

What is vertical integration?

Vertical integration is a business strategy in which a corporation controls several levels of the supply chain. Instead of depending on third-party vendors, the corporation aims to bring procedures in-house to have greater control over the manufacturing process.

Vertical integration aided the Carnegie Steel Company by lowering costs throughout the supply chain, from mining to shipping to manufacture. Carnegie purchased coal fields, iron mines, and railroad lines in order to gain control of the raw resources and transportation routes.

Vertical integration aided the Carnegie Steel Company by lowering costs from mining to transportation to manufacture. Therefore, it can be concluded that, option first is correct.

Learn more about vertical integration here:

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"Vertical integration helped the Carnegie Steel business because it reduced costs along the supply chain from mining and transportation to manufacturing. Carnegie bought out coal fields, iron mines and railroad lines to ensure that he could control the raw materials and transportation lines."

- Another Brainlier (not my answer, but I do think this will help you. Credit to the sources.)

I need help with this one I’m stuck on it.

Answers

Answer:4.5

Step-by-step explanation:

Simplify: 3x[(2x6-5) + (8\4)] -1 ••••••• The \ means divide

Answers

3 × [(2 × 6 - 5) + (8/4)] - 1
= 3 × [(12 - 5) + 2] - 1
= 3 × (7 + 2) - 1
= 3 × 9 - 1
= 27 - 1
= 26

USE PEMDAS:
P - Parentheses
E - Exponents
M - Multiply
D - Divide
A - Addition
S - Subtraction

Which expression is equivalent to √-80a. -4 √5
b. -4 √5i
c. 4 √5i
d. 4 √5

Answers

To simplify √-80, we can take out "i" from the root by using the relation i = √-1. Further factoring out 80, we can simplify it, which will be shown as follows:

√-80 = √(-1)(16)(5) = 4i√5

Among the choices, the correct answer is C.

Answer:

Your answer would be c.

Step-by-step explanation:

Which of the following is always true?1. All trapezoids are similar.
II. All parallelograms are similar.
III. All kites are similar.
IV. All regular quadrilaterals are similar.
O l only
IV only
k
I and III only
O II and IV only
Please help quick

Answers

Answer:

Step-by-step explanation:

A trapezoid has one pair of parallel sides and a parallelogram has two pairs of parallel sides. So a parallelogram is also a trapezoid. A trapezoid is a quadrilateral with one pair of opposite sides parallel. It can have right angles (a right trapezoid), and it can have congruent sides (isosceles), but those are not required. In any isosceles trapezoid, two opposite sides (the bases) are parallel, and the two other sides (the legs) are of equal length (properties shared with the parallelogram). The diagonals are also of equal length.

A parallelogram has adjacent sides with the lengths of and . Find a pair of possible adjacent side lengths for a similar parallelogram. Explanation: Since the two parallelogram are similar, each of the corresponding sides must have the same ratio.

Not only are the corresponding angles the same size in similar polygons, but also the sides are proportional.

Help please
$(2p + 1)/(5p + 6 ) = (1)/(7)$
Please and thanks