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Bad White [126]

3 years ago

8

Jules kicks a soccer ball off the ground and into the air with an initial speed of 25 feet per second. Find how long it takes th

e soccer ball to hit the ground again.

1 answer:

Rzqust [24]3 years ago

3 0

Answer:

Maximum height=9.8 ft and Time taken by soccer ball will be 0.8 secs

Step-by-step explanation:

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Select the basic integration formula you can use to find the indefinite integral.

kondaur [170]

Answer:

$\int \dfrac{du}{u}=\log|u|+C$

$\int u^n du=\dfrac{u^{n+1}}{n+1}+C$

$\int \dfrac{du}{u\sqrt{u^2-a^2}}=\dfrac{1}{a}\csc^{-1}(\dfrac{x}{a})+C$

Step-by-step explanation:

a.

$\int \dfrac{du}{u}=\log|u|+C$ $[\because \int \dfrac{dx}{x}=\log |x|+C]$

b.

$\int u^n du=\dfrac{u^{n+1}}{n+1}+C$ $[\because \int x^n dx=\dfrac{x^{n+1}}{n+1}+C]$

c.

$\int \dfrac{du}{u\sqrt{u^2-a^2}}=\dfrac{1}{a}\csc^{-1}(\dfrac{x}{a})+C$ $[\because \dfrac{adx}{x\sqrt{x^2-a^2}}=\csc^{-1}(\dfrac{x}{a})+C]$

3 0

3 years ago

NO LINKS!! Part 2<br><br>Similarity Flow Chart Proofs

STatiana [176]

Answer:

See below

Step-by-step explanation:

<h3>#4</h3>

According to diagram we have

QR ≅ QT
QS ≅ QS (common side)
QSR ≅ QST (both right angles)

Considering above we can state

QSR ≅ QST by HL (hypotenuse-leg)

<h3>#5</h3>

Two angles are congruent but the order of angles is not same

Triangles are not similar.

<h3>#6</h3>

Two angles and a side are congruent but the order of angles is not same.

Triangles are not similar.

4 0

2 years ago

Carlos is using the quadratic formula to find the solutions of y=3x^2-5x-2. Which of the following will simplify to the correct

Nana76 [90]

Answer:

$Fx=\frac{5\pm\sqrt{25+24} }{6}$

Step-by-step explanation:

A quadratic equation in one variable given by the general expression:

$ax^2+bx+c$

Where:

$a\neq 0$

The roots of this equation can be found using the quadratic formula, which is given by:

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

So:

$y(x)=3x^2-5x-2=0$

As you can see, in this case:

$a=3\\b=-5\\c=-2$

Using the quadratic formula:

$x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}=\frac{-(-5)\pm\sqrt{(-5)^2-4(3)(-2)} }{2(3)}=\frac{5\pm\sqrt{25+24} }{6}$

Therefore, the answer is:

$Fx=\frac{5\pm\sqrt{25+24} }{6}$

4 0

3 years ago

Please answer this question now in two minutes

erastovalidia [21]

Answer: D

154 miles.

Step-by-step explanation:

Half way is 440/2 = 220. Subtract the 66 miles already traveled, and they have 154 miles to go.

7 0

3 years ago

Read 2 more answers

Match each statement with its corresponding value for the system below:

Mandarinka [93]

Answer:

1. 1 point

2. The x-coordinate of the solution = 2/17

3. The y-coordinate of the solution = -16/17

Step-by-step explanation:

Given that the equation is of the form;

y = -2³×x and y = 9·x - 2, we have;

y = -8·x and y = 9·x - 2

1. Given that the two lines are straight lines, the number of points of intersection is one.

2. The x-coordinate of the solution

To find a solution to the system of equations, we equate both expression of the functions and solve for the independent variable x as follows;

-8·x = 9·x - 2

-8·x - 9·x= - 2

-17·x = -2

x = 2/17

The x-coordinate of the solution = 2/17

3. The y-coordinate of the solution

y = 9·x - 2 = 9×2/17 - 2 = -16/17

y = -16/17

The y-coordinate of the solution = -16/17.

8 0

3 years ago