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Alexandra [31]
3 years ago
7

3.Solve tan 2x + tan x=0, for 0 < x < 2π​

Mathematics
1 answer:
Harrizon [31]3 years ago
5 0

Answer:

Start by getting everything on the same side of the equals sign and then set it equal to 0.  .  Factor out the common tan^2x like this: .  Now we have 2 separate equations to solve:  and sinx = 0.  Now we have to figure out where tan^2 is 0 between 0 and 2pi.  If we include 2pi, the solutions for that equation are .  You can test those out on your calculator just to be sure.  There's only one value of x for the next equation.  The only place between 0 and 2pi where the sin x = 1 is at x = .  And there you go!

Step-by-step explanation:

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BROOO HELP what is the slope of the line through (-3,3) and (-1,-1)?
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Answer:

C

Step-by-step explanation:

To find the slope between any two points, we can use the slope formula:

m=\frac{y_2-y_1}{x_2-x_1}

Where (x₁, y₁) and (x₂, y₂) are two, separate points.

We have the two points (-3, 3) and (-1, -1).

So, let (-3, 3) be (x₁, y₁) and let (-1, -1) be (x₂, y₂).

Substitute them into the slope formula to get:

m=\frac{-1-3}{-1-(-3)}

Subtract:

m=\frac{-4}{2}=-2

Hence, our slope is -2.

So, our answer is C.

6 0
2 years ago
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Find the area a and b circumference of the circle with radius 10 m and use 3.14 for pi
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Answer:

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Solve<br> 2x = -16<br><br> a.-8<br> b.8<br> c.1/8<br> d.-1/8
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Step-by-step explanation:

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Have a great day

4 0
2 years ago
Drive to work in 45 min., bus to work takes 1 hr 15 min. If the average rate on the bus is 16 mph slower than his driving rate,
stich3 [128]

Answer:

30 miles

Step-by-step explanation:

Given: Drive to work in 45 min.

           Bus would take to travel= 1 hr 15 min

          Average rate on the bus is 16 mph slower than his driving rate.

Lets assume the average driving rate be "x" mph.

∴ Average rate of bus= (x-16)\ mph

Now converting unit of time taken to travel to work.

Remember; 1 hours= 60 minutes.

Time taken for drive to work= \frac{45\ minutes}{60\ minutes} = 0.75\ hour

Time taken in bus to work= 1 hour and 15 minutes=60\ minutes+ 15\ minutes= 75\ minutes

∴ Time taken in bus to work in hours= \frac{75\ minutes}{60\ minutes}= 1.25\ hours

Considering the distance remain constant to travel for work.

Next, forming an equation to find the value of x.

As we know, distance= speed\times time

⇒ x\times 0.75= (x-16)\times 1.25

Using distributive property of multiplication.

⇒0.75x= 1.25x-20

Adding both side by 20

⇒ 0.75x+20= 1.25x

Subtracting both side by 0.75x

⇒20= 0.5x

Dividing both side by 0.5

⇒x= \frac{20}{0.5}

∴ x= 40\ mph

Hence the average rate for drive to work is 40mph.

Now, subtitiuting the value of x to find the distance travelled to work.

Distance travelled= 40\times 0.75= 30\ miles

Hence, distance travelled to work is 30 miles.

6 0
3 years ago
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