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Vlada [557]
3 years ago
6

Solve on the interval [0,2pi): 2 sin^2 x-3 sin x + 1 = 0

Mathematics
1 answer:
erica [24]3 years ago
7 0

Answer:

How do you solve #2sin^2x+3sinx+1=0# and find all solutions in the interval #[0,2pi)#?

Trigonometry Trigonometric Identities and Equations Solving Trigonometric Equations

Answer:

Explanation:

We may identify this as a quadratic equation in #sinx# and factorise it as a trinomial to obtain the solutions as

<h3>#(2sinx+1)(sinx+1)=0#</h3>

<h3>#thereforesinx=-1/2 or sinx=-1#</h3>

<h3>#therefore x= (7pi)/6 or (11pi)/6 or (3pi)/2#</h3>

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ella [17]

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3 years ago
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3 years ago
If the slope of a line is -1 and two points on the line are (-9, 3) and (-10, r), what is the value of r?
ANEK [815]

Answer:

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Step-by-step explanation:

We know that the slope of the line is -1.

We also know that the line passes through (-9, 3) and (-10, r).

We want to find the value of r.

First, let's figure out the equation of our line. We can use the point-slope form:

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y=-x-6

It passes through (-10, r) and we want to find the value of r. So, let's substitute -10 for x and r for y, since -10 is our x and r is our y. So:

r=-(-10)-6

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Subtract:

r=4

So, the value of r is 4.

And we're done!

6 0
3 years ago
Explain how to find 3/4 of 20 using a model. Include a drawing
Igoryamba
Ok so it would be 3/4 times 20
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