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serg [7]
3 years ago
10

Please help me as soon as possible.

Mathematics
1 answer:
IrinaVladis [17]3 years ago
5 0

\begin{array}{llll} x~-2y=-13\\ 5x+2y=-17\\ \cline{1-1} 6x+0y=-30 \end{array}\qquad \implies 6x=-30\implies x=\cfrac{-30}{6}\implies x=-5 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{substituting on the 1st equation}}{(-5)-2y=-13\implies }-2y=-8\implies y = \cfrac{-8}{-2}\implies y = 4 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (-5~~,~~4)~\hfill

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Which expression means the sum of 5 and a number? A. g × 5 B. g – 5 C. g + 5 D. g ÷ 5
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For this case, the first thing you should do is define a variable.
 We have then:
 g: unknown number.
 We now write the expression in algebraic form.
 the sum of 5 and a number:
 g + 5
 Answer:
 
An expression that means the sum of 5 and a number is:
 
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3 years ago
If sin(2x) = cos(x + 30°), what is the value of x?
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Answer:

x = -10 ° + π/6 + (2 π n_1)/3 for n_1 element Z

or x = 30 ° + π/2 + 2 π n_2 for n_2 element Z

Step-by-step explanation:

Solve for x:

sin(2 x) = cos(x + 30 °)

Rewrite the right hand side using cos(θ) = sin(θ + π/2):

sin(2 x) = sin(30 ° + π/2 + x)

Take the inverse sine of both sides:

2 x = -30 ° + π/2 - x + 2 π n_1 for n_1 element Z

or 2 x = 30 ° + π/2 + x + 2 π n_2 for n_2 element Z

Add x to both sides:

3 x = -30 ° + π/2 + 2 π n_1 for n_1 element Z

or 2 x = 30 ° + π/2 + x + 2 π n_2 for n_2 element Z

Divide both sides by 3:

x = -10 ° + π/6 + (2 π n_1)/3 for n_1 element Z

or 2 x = 30 ° + π/2 + x + 2 π n_2 for n_2 element Z

Subtract x from both sides:

Answer:  x = -10 ° + π/6 + (2 π n_1)/3 for n_1 element Z

or x = 30 ° + π/2 + 2 π n_2 for n_2 element Z

6 0
3 years ago
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Delicious77 [7]

Answer:

C .

Step-by-step explanation:

I think , hope this helps

4 0
2 years ago
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Answer:

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Step-by-step explanation:

You swung 11 times, and your friend swung twice as many times as that.

11x2=22

22 rounded to the nearest ten is 20.

6 0
3 years ago
Read 2 more answers
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The grade would be 87%
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