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____ [38]
3 years ago
6

Please help me with this problem.

Mathematics
1 answer:
MrRa [10]3 years ago
3 0

Step-by-step explanation:

cos(x + 45 \degree) + cos(x  -  45 \degree) =  \sqrt{2}  \\ cosx  \: cos45 \degree - sinx  \: sin45 \degree  \\ + cosx  \: cos45 \degree  + sinx  \: sin45 \degree  =  \sqrt{2}  \\ 2cosx  \: cos45 \degree =  \sqrt{2}  \\ 2cosx \times  \frac{1}{ \sqrt{2} }  =  \sqrt{2}  \\ 2cosx =  \sqrt{2}  \times  \sqrt{2}  \\ 2cosx = 2 \\ cosx =  \frac{2}{2}  \\ cosx = 1 \\ cosx = cos \: 0 \degree \\ \huge \red{ \boxed{ x = 0 \degree}} \\

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- Ify=-6 when x= -14, find x when y=-4.​
Hitman42 [59]

Answer :

x = - 12    for y = - 4

Step-by-step explanation:

Given as y = - 6       when x = - 14

write in equation form

I.e y = x + c

Put x and y values ,

So, c = y - x

     c = - 6 + 14 = 8

Now when y = - 4   and c = 8 ,

So, from eq x = y - c

 ∴                  x = - 4 - 8 = - 12      Answer

6 0
3 years ago
In a group of 120 students,90 students study mathematics and 72 study science. if 10 of the student does not study any subject
barxatty [35]

Answer:

Step-by-step explanation:

Total students = 120

Number of students studying Mathematics P(A) = 90

Number of students studying Science P(B) = 72

Number of students who doesn't study both subjects P(AUB)'= 10

1) Number of students studying atleast on subject = 120 -10 = 110

2) Number of students studying both math and science = (90 +72) -110

                     = 162 -110 = 52

3) Number of students studying only mathematics = 90 -52 = 38

4) Number of students studying only science = 72 -52 = 20

4 0
3 years ago
Does the ordered pair (−1,−3) satisfy the following system of equations? {2x+5y=−17−4x+3y=−5
andreev551 [17]

Answer:

  yes

Step-by-step explanation:

Try it and see:

  2(-1) +5(-3) = -2-15 = -17 . . . . . works in the first equation

  -4(-1) +3(-3) = 4 -9 = -5 . . . . . . works in the second equation

Yes, the ordered pair (-1, -3) satisfies the equations.

__

Or, you can check the solution using a graphing calculator.

5 0
3 years ago
What is x (its a parralleligram)
creativ13 [48]

Check the picture below.

7 0
2 years ago
Plsplspslsplspslspls help me
marta [7]

Answer:

16. -16+7=-9

17. -11+1=-10

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19. -4+(-8)=-12

5 0
2 years ago
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