All categories

3 years ago

Find all solutions in the interval [0,2pi) sec^2x + 2tanx = 3

1 answer:

6 0

Tan^2x + 1 + tanx - 3 = 0 tan^2x + tanx - 2 = 0 (tanx + 2)(tanx - 1) = 0 tanx = -2 or tanx = 1 x = 2.034 radians or x = 5.176 radians or x = pi/4 radians or x = 5pi/4 radians

You might be interested in

The graph below shows a proportional relationship between y and x .

Gennadij [26K]

Answer:

49/1

Step-by-step explanation:

The point is on (1,49)

6 0

3 years ago

How many more queen bee books were sold than jade owls

Arte-miy333 [17]

Answer:

I believe the answer will be 30 queen bee books.

7 0

2 years ago

F(x) = x2 + 2x-5<br> g(x) = -3/2 - 4x + 1<br> What is f(x) – g(x)?

NeX [460]

Step-by-step explanation:

Start by finding (fog)(x)

To find this function, substitute x=

x−1

That is g(x) into f(x)

⇒(f∘g)(x)=(

x−1

)

−2(

x−1

)+5

(x−1)

−

x−1

Now substitute x=3

⇒(f∘g)(3)=

(3−1)

−

3−1

−

+5=4−4+5=5.

Hope it helps:)

6 0

2 years ago

A rock dropped on the moon will increase its speed from 0 m/s (its starting

belka [17]

<h2>Hello!</h2>

The answer is:

The correct option is the option D

$g=1.63\frac{m}{s^{2}}$

To calculate the acceleration, we need to use the following formula that involves the given information (initial speed, final speed, and time).

We need to use the following free fall equation:

$V_{f}=V_{o}-g*t$

Where:

$V_{f}$ is the final speed.

$V_{o}$ is the initial speed.

g is the acceleration due to gravity.

t is the time.

We are given the following information:

$V_{f}=8.15\frac{m}{s}$

$V_{o}=0\frac{m}{s}$

$t=5seconds$

Then, using the formula to isolate the acceleration, we have:

$V_{f}=V_{o}-g*t$

$V_{f}=V_{o}-g*t\\\\g*t=V_{o}-V_{f}\\\\g=\frac{V_{o}-V_{f}}{t}$

Now, substituting we have:

$g=\frac{V_{o}-V_{f}}{t}$

$g=\frac{0-8.15\frac{m}{s}}{5seconds}=-1.63\frac{m}{s^{2}}$

Therefore, since we are looking for a magnitude, we have that the obtained value will be positive, so:

$g=1.63\frac{m}{s^{2}}$

Hence, the correct option is the option D

$g=1.63\frac{m}{s^{2}}$

Have a nice day!

7 0

2 years ago

This is the problem how do I do this?

Katarina [22]

8513 is NOT divisible by 9, because the some of its digits (8+5+1+3) = 17 which is not divisible by 9 (answer B)

3 0

2 years ago