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enot [183]
3 years ago
6

Cos X = ? i have no idea how to do this so please explain :)

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

Answer:

Cos(x) = 9/41

Step-by-step explanation:

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Solve the following 3 × 3 system. Enter the coordinates of the solution below.
love history [14]
The system is:

i)    <span>2x – 3y – 2z = 4
ii)    </span><span>x + 3y + 2z = –7
</span>iii)   <span>–4x – 4y – 2z = 10 

the last equation can be simplified, by dividing by -2, 

thus we have:

</span>i)    2x – 3y – 2z = 4
ii)    x + 3y + 2z = –7
iii)   2x +2y +z = -5 


The procedure to solve the system is as follows:

first use any pairs of 2 equations (for example i and ii, i and iii) and equalize them by using one of the variables:

i)    2x – 3y – 2z = 4   
iii)   2x +2y +z = -5 

2x can be written as 3y+2z+4 from the first equation, and -2y-z-5 from the third equation.

Equalize:  

3y+2z+4=-2y-z-5, group common terms:
5y+3z=-9   

similarly, using i and ii, eliminate x:

i)    2x – 3y – 2z = 4
ii)    x + 3y + 2z = –7

multiply the second equation by 2:


i)    2x – 3y – 2z = 4
ii)    2x + 6y + 4z = –14

thus 2x=3y+2z+4 from i and 2x=-6y-4z-14 from ii:

3y+2z+4=-6y-4z-14
9y+6z=-18

So we get 2 equations with variables y and z:

a)   5y+3z=-9 
b)   9y+6z=-18

now the aim of the method is clear: We eliminate one of the variables, creating a system of 2 linear equations with 2 variables, which we can solve by any of the standard methods.

Let's use elimination method, multiply the equation a by -2:

a)   -10y-6z=18 
b)   9y+6z=-18
------------------------    add the equations:

-10y+9y-6z+6z=18-18
-y=0
y=0,

thus :
9y+6z=-18 
0+6z=-18
z=-3

Finally to find x, use any of the equations i, ii or iii:

<span>2x – 3y – 2z = 4 
</span>
<span>2x – 3*0 – 2(-3) = 4

2x+6=4

2x=-2

x=-1

Solution: (x, y, z) = (-1, 0, -3 ) 


Remark: it is always a good attitude to check the answer, because often calculations mistakes can be made:

check by substituting x=-1, y=0, z=-3 in each of the 3 equations and see that for these numbers the equalities hold.</span>
3 0
2 years ago
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Consider the composite function (g (x) ) = StartRoot StartFraction 1 Over x squared minus 3 EndFraction EndRoot. If g(x) = x2 –
balandron [24]

Answer:

answer is c

Step-by-step explanation:

8 0
3 years ago
Which expression is equivalent to (x^4/3 x^2/3)^1/3
Oksanka [162]

Answer:

X^2/3

Step-by-step explanation:

6 0
2 years ago
PLEASE HELP!!! I NEED HELP ASAP
Tju [1.3M]

Answer:

y = 6x

Explanation:

This question is asking you to write a linear equation in slope-intercept form, <u>y = mx + b,</u> where m is the slope and b is the y-intercept.

The y-intercept (where the line crosses the y-axis) is visibly 0. As for the slope, you can take two points, I'll use (0,0) and (0.1,0.6) to calculate it.

Slope = y - y/x- x

Slope = (0.6 - 0)/(0.1 - 0) = 0.6/0.1 = 6

Plug in 0 for b and 6 for m and you have an equation.

y = 6x + 0

y = 6x

4 0
1 year ago
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Lance earned $27 for mowing 3 lawns. What is the rate earned per lawn mowed?
Sliva [168]

Answer: $9 dollars

Step-by-step explanation:

27 divided by 3 = 9

*** If you found my answer helpful please give me the brainliest :) ***

4 0
3 years ago
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