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Nesterboy [21]
3 years ago
7

Given that 0≤β<2π, find all the solutions to the equation 2sin^2β=7sinβ+4.

Mathematics
2 answers:
Nastasia [14]3 years ago
7 0

Answer:

It has no solution

Step-by-step explanation:

guapka [62]3 years ago
5 0

Answer:

Step-by-step explanation:

2sin²β-7sinβ-4=0

2sin²β-8sin β+1 sin β-4=0

2 sin β(sin β-4)+1(sin β-4)=0

(sin β-4)(2sin β+1)=0

either sin β-4=0

sin β=4 (rejected,as |sin β|≤1)

or

2 sin β+1=0

sin β=-1/2=-sin (π/6)=sin (π+π/6),sin (2π-π/6)

β=7π/6,11π/6

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Which description best describes the solution to the following system of equations?
Olenka [21]
Y = -x + 4
y = 3x + 3

3x + 3 = -x + 4
3x + x = 4 - 3
4x = 1
x = 1/4

y = 3x + 3
y = 3(1/4) + 3
y = 3/4 + 3
y = 3/4 + 12/4
y = 15/4

solution is (1/4,15/4)

so line y = -x + 4 intersects the line y = 3x + 3 at (1/4,15/4)

6 0
3 years ago
The perimeter of a rectangle is 60 centimeters. The base is 2 times the height. What are the dimensions of the rectangle?
tankabanditka [31]
Licenciado en Letrase (base 20 y altura 10 cm. 
3 0
4 years ago
Number 21 help ASAP ASAP
Svetllana [295]

Answer:

B is the correct answer.

6 0
3 years ago
I need to set up an system of equation and solve
Alik [6]

Answer:

The numbers are 5 and 8.

Step-by-step explanation:

We know:  

m -n=3

And we know:  

m +n=13

Next, solve the first equation for  m:

m-n+n=3+n

m-0=3+n

m=3+n

Then, substitute  3+n in the second equation and solve for  n:

m+n=13 becomes:

(3+n)+n=13

-3+3+2n=-3+13

0+2n=10

2n=10

n=5

Now, substitute  5 for in the solution to the first equation and calculate  m:

m=3+n becomes:

m=3+5

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The solution is n=5 and m=8




4 0
4 years ago
10x - 29 - 7x=-53 what is x?​
Reil [10]

Answer:

Step-by-step explanation:

hello :

10x - 29 - 7x=-53

add 29 : 10x-7x= -53+29

3x=-24

x= -24/3 = -8

5 0
3 years ago
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