What is the slope of the line passes through the points (3,-2) and (9,-2)?

A ball is thrown vertically in the air with a velocity of 90ft/s. Use the projectile formula h=−16t2+v0t to determine at what ti

Debora [2.8K]

Answer:

$t=1.7 \ sec\ , t=4.0\ sec$

Step-by-step explanation:

Vertical Throw

It refers to a situation where an object is thrown verticaly upwards with some inicial speed v_o and let in free air (no friction) until it completes its movement up and finally returns to the very same point of lauch. The only acting force is gravity

The projectile formula is given as

$h=-16t^2+v_0t$

where t is time in seconds, h is the height in feet and v is the speed in ft/sec

We are required to find the time t where h=120 ft, knowing $v_o=90\ ft/sec$

$-16t^2+90t=120$

Rearranging

$-16t^2+90t-120=0$

This is a second-degree equation which will be solved with the formula

$\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$\displaystyle x=\frac{-90\pm \sqrt{90^2-4(-16)(-120)}}{2(-16)}$

$\displaystyle x=\frac{-90\pm \sqrt{1380}}{-32}$

Two solutions are obtained

$\boxed{t=1.7 \ sec\ , t= 4.\ sec}$

Both solutions are possible because the ball actually is at 120 ft in its way up and then when going down

6 0

3 years ago

Read 2 more answers

If you don’t know the answer or full explanation, then please don’t answer at all. Thank you for helping!

KatRina [158]

Answer:

The domain of the function is (-6,6]

The range of the function is [-12.6)

Step-by-step explanation:

Domain and Range of Real Functions

The domain of a function is the set of all possible inputs for the function.

The Range is the set of values the function takes when x moves into the domain.

If the graph of a real function is given, we can find both by using the rules of the horizontal or vertical lines.

If an imaginary vertical line is moved along the x-axis, it can touch or not the graph of the function. All the values of x where the line and the graph cross each other belong to the domain of the function.

The vertical line crosses the function from x=-6 (not included since there is a hollow dot there) to x=6 (included since there is a solid dot).

Thus, the domain of the function is (-6,6]

Similarly, when an imaginary horizontal line is moved along the y-axis, it touches the function from y=-12 (included) to y=6 (not included).

The range of the function is [-12.6)

5 0

3 years ago

How many solutions exist for the system of equations on the graph?

mrs_skeptik [129]

Answer:

Two

============================

Step-by-step explanation:

The solution for any system of equations is the intersection points between the graph that representing the system of equation.

So, for the given system of equation, we have a circle and a parabola.

As shown in the figure, The circle and parabola are intersects at two points

So, there are two solutions for the system of equations on the graph.

So, The answer is option two.

4 0

3 years ago

Read 2 more answers

Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper c

svp [43]

Answer:

0.2839 = 28.93%

Step-by-step explanation:

In order to find find the probability that one car chosen at random will have less than 68.5 tons of coal, we have to find z

Le x be tons of coal in a car

Z = (x – mean)/standard deviation

Z = (x – μ)/ σ

P (x<68.5) = P(z < (68.5-69)/0.9)

P (x<68.5) = P(z < -0.5555)

Then we use the z table to find the area under the curve.

P (x<68.5) = 0.2893

5 0

3 years ago

If A = 3x2 + 3x - 6 and B = -2x2 - 6x + 7, thenA - B equals1) -5r- 11x + 132) 5r2 + 11x – 133) -5x2-x+14) 5x2 -*+1

Grace [21]

$3x^2-(-2x^2)+5x-(-6x)-6-(7)=5x^2+11x\text{ - 13}$

Therefore, the correct answer is:

$2)5x^2+11x\text{ - 13}$

5 0

1 year ago

What is the slope of the line passes through the points (3,-2) and (9,-2)?​

What is the slope of the line passes through the points (3,-2) and (9,-2)?