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3 years ago

How complex fractions can be used to solve problems with ratios

1 answer:

4 0

When you have ratios and some unknowns,you can create complex fractions from them.Bring them to the same denominator and solve for X.

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2. The path of a high diver is given by y = + (2x2 – 9x – 56), where y is the height of the diver

timofeeve [1]

Answer:

The diver will be 8 feet from the end of the board when he hits the water.

Step-by-step explanation:

The diver hits the water when y = 0.

To find the distance, we have to find the values of x when y = 0.

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = (x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this problem, we have that:

$y = 2x^{2} - 9x - 56$

$2x^{2} - 9x - 56 = 0$

$a = 2, b = -9, c = -56$

Then

$\bigtriangleup = b^{2} - 4ac = (-9)^{2} - 4*2(-56) = 529$

$x_{1} = \frac{-(-9) + \sqrt{529}}{2*2} = 8$

$x_{2} = \frac{-(-9) - \sqrt{529}}{2*2} = -3.5$

It is a horizontal distance, so the answer is a positive value.

The diver will be 8 feet from the end of the board when he hits the water.

7 0

3 years ago

Plz answer the following file attached

Finger [1]

Answer:

i like how to tell us to answer something with no file

Step-by-step explanation:

6 0

2 years ago

A bag contains red and blue marbles. One-fourth of the marbles are red. If there is one red marble in the bag, how many blue mar

Alenkinab [10]

There are 3 marbles.

4 0

4 years ago

First to answer well get brainliest!..<br> Plz

marta [7]

<h2>Answer: It is on the origin or quadrant I</h2>

3 0

3 years ago

Evaluate expression: 3(5g + 5 - 2)

stepladder [879]

Answer: 15g + 9

Step-by-step explanation: Have a brilliant day!- Lily ^_^ Plz mark brainliest.

8 0

3 years ago