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3 years ago

2sinxcosx=sinx in the interval of [0,2pi]

1 answer:

5 0

Use the double angle function sin2x = 2sinxcosx.

2sinxcosx + sinx = 0

For the first part of the problem, consider the solutions on the interval where sinx = 0

x = 0, pi

Now consider the solutions where sinx does NOT equal zero.

2sinxcosx + sinx = 0

2sinxcosx = - sinx

2cosx = - 1

cosx = - 1/2

x = 2pi/3, 4pi/3

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[100 POINTS] What is the measure of the arc from A to B that does not pass through C?

Nana76 [90]

Applying the inscribed angle theorem, the measure of arc AB that doesn't go through point C is: 100 degrees.

<h3>What is the Inscribed Angle Theorem?</h3>

Based on the inscribed angle theorem, if ∅ is the inscribed angle measure, the measure of the central angle subtended by the same arc equals 2(∅).

m∠BAC = 40 degrees.

Central angle = 2(40) = 80 degrees [based on the inscribed angle theorem]

Corresponding arc BC = 80 degrees.

Arc AC through point B = 180 degrees [half circle]

Arc AB = 180 - arc BC = 180 - 80 = 100 degrees.

Learn more about the inscribed angle theorem on:

brainly.com/question/3538263

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8 0

2 years ago

Which of the following could be the graph of 3x + 4y = 12?

Elan Coil [88]

Answer:

A graph that goes through (4, 0), (8, -3), (0, 3), and (-4, 6)

Step-by-step explanation:

Hello!

To find what this looks like it is easier to put it into slope-intercept form which is y = mx + b

To get our equation to look like that we have to get y by itself

3x + 4y = 12

Subtract 3x from both sides

4y = -3x + 12

Divide both sides by 4

$y =- \frac{3}{4}x + 3$

We now know the y-intercept is (0, 3)

Now we follow the slope to give us more points

More points are (4, 0), (8, -3), and (-4, 6)

The answer would be a graph that goes through those points.

Hope this helps!

6 0

3 years ago

Find the vertex, focus, and directrix of the parabola whose equation is given below. y-7=1/8(x-2)^2

VLD [36.1K]

Answer:

Step-by-step explanation:

7 0

3 years ago

Can someone plz help this is like my 5th time putting up this question!!!

serg [7]

Answer:

the table should be 25,98,173,248

3 0

3 years ago

What value of x is in the solution set of 2(3x-1) ≥4x-6

astra-53 [7]

Answer:

$\large\boxed{x\geq-2\to x\in[-2,\ \infty)}$

Step-by-step explanation:

$2(3x-1)\geq4x-6\qquad\text{use distributive property}\ a(b-c)=ab-ac\\\\(2)(3x)-(2)(1)\geq4x-6\\\\6x-2\geq4x-6\qquad\text{add 2 to both sides}\\\\6x\geq4x-4\qquad\text{subtract 4x from both sides}\\\\2x\geq-4\qquad\text{divide both sides by 2}\\\\x\geq-2$

4 0

3 years ago