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Elina [12.6K]
3 years ago
15

Can you guys please help me my math teacher wants us to get this right and I don’t get it please help me on all of it

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
7 0

#5 is

Let's solve your equation step-by-step.

2

5

x−1=9

Step 1: Add 1 to both sides.

2

5

x−1+1=9+1

2

5

x=10

Step 2: Multiply both sides by 5/2.

(

5

2

)*(

2

5

x)=(

5

2

)*(10)

x=25

Answer:

x=25

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IMAGE 1: Find the value of the indicated trigonometric ratio cos α
Sphinxa [80]

Answer:

28.07° ; 70.53° ; 53.13° ; 36.87°

Step-by-step explanation:

Using PYTHAGORAS RULE :

IMAGE 1:

value of cos α equals :

cos α = Adjacent / Hypotenus

cos α = 15 / 17

cos α = 0.88235

α = cos^-1 (0.88235)

α = 28.07°

IMAGE 2:

sin β = Opposite / Hypotenus

sin β = 14√2 / 21

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β = sin^-1(0.9428)

β = 70.53°

IMAGE 3:

From trigonometry :

cot = 1 / tan

Tan = Opposite / Adjacent

Therefore, Cot = Adjacent / Opposite

cot γ = 3/4

cot γ = 0.75

γ = cot^-1 (0.75)

γ = 53.13°

IMAGE 4:

tan α = Opposite / Adjacent

tan α = 15 / 20

tan α = 0.75

α = tan^-1 (0.75)

α = 36.87°

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Find the complete solution of the system <br><br> 5x+3y+11z=37<br><br> 3y+z=12<br><br> 5x+9y+13z=61
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Answer:

y = \displaystyle\frac{12-z}{3}\\\\x = -2z + 5

Step-by-step explanation:

We are given a system of equation:

5x+3y+11z=37\\3y+z=12\\5x+9y+13z=61

To find a solution to the given system, we follow the given steps.

1. Subtracting second equation from first and third equation, we get:

5x+3y+11z-3y-z=37-12\\5x+10z = 25\\5x+9y+13z-3(3y+z) = 61 - 36\\5x + 10z = 25

2. After eliminating z to obtain two equations in two variable, we observe that the two equations obtained were same.

So we have three equations that will all graph in the same plane.

Thus, there are infinite number of solution to the given system of equation.

We can write the values of x and y in the form of z:

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