What is the equation of the line in slope intercept form?

Sean tossed a coin off a bridge into the stream below. The path of the coin can be represented by the equation 2 h tt = − 16t^2+

tekilochka [14]

Answer:

It will take 5.61 seconds for the coin to reach the stream.

Step-by-step explanation:

The height of the coin, after t seconds, is given by the following equation:

$h(t) = -16t^{2} + 72t + 100$

How long will it take the coin to reach the stream?

The stream is the ground level.

So the coin reaches the stream when h(t) = 0.

$h(t) = -16t^{2} + 72t + 100$

$-16t^{2} + 72t + 100 = 0$

Multiplying by (-1)

$16t^{2} - 72t - 100 = 0$

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 $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , 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 question:

$16t^{2} - 72t - 100 = 0$

So

$a = 16, b = -72, c = -100$

$\bigtriangleup = (-72)^{2} - 4*16*(-100) = 11584$

$t_{1} = \frac{-(-72) + \sqrt{11584}}{2*16} = 5.61$

$t_{2} = \frac{-(-72) - \sqrt{11584}}{2*16} = -1.11$

Time is a positive measure, so we take the positive value.

It will take 5.61 seconds for the coin to reach the stream.

3 0

3 years ago

A is center of one circle and C is the center of the other circle. Select all line segments that must have the same length as se

Dominik [7]

Based on the circles shown in the diagram attached above, the line segments that must have the same length as segment AB are:

Segment BC.
Segment CD.

<h3>What is a circle?</h3>

A circle can be defined as a closed, two-dimensional curved geometric shape with no edges or corners. Also, a circle refers to the set of all points in a plane that are located at a fixed distance (radius) from a fixed point (central axis).

<h3>The equation of a circle.</h3>

Mathematically, the standard form of the equation of a circle is given by;

(x - h)² + (y - k)² = r²

Where:

h and k represents the coordinates at the center.

r represents the radius of a circle.

<h3>What is a line segment?</h3>

A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.

Based on the circles shown in the diagram attached above, the line segments that must have the same length as segment AB are:

Segment BC.
Segment CD.

Read more on line segment here: brainly.com/question/18315903

#SPJ1

3 0

1 year ago

Answer me please answer

Goryan [66]

Answer:

700 or 960

Step-by-step explanation:

350x2=700

480x2=96

4 0

3 years ago

Name an outcome that has a probability between 0.5 and 1

diamong [38]

Answer:

0.6

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

7. log(x+3)(2x + 3) +log(x+3)(x + 5) = 2

iren [92.7K]

Answer:67

Step-by-step explanation: the first one is the best. that’s why

5 0

2 years ago

What is the equation of the line in slope intercept form?​

What is the equation of the line in slope intercept form?