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IRINA_888 [86]
3 years ago
14

-18 = -6n - 6 + 2n Solve for n. ​

Mathematics
1 answer:
vodomira [7]3 years ago
3 0

Answer:

n = 3

Step-by-step explanation:

-18 = -6n - 6 + 2n

-18 = -6n +2n -6 (Combine like terms)

-18= -4n -6

-18+6= -4n -6+6 (Addition Property of Equality)

-12 = -4n

-12/-4 = -4n/-4 (Division Property of Equality)

3=n

The value of 'n' is 3.

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2x – Зу = -1<br> + 3x+3y= 26<br> ОА. бу = 25<br> ОВ. 5х = 27<br> Ос. 5х = 25<br> OD. 5x - бу = -27
Brilliant_brown [7]

Answer:

C. 5x=25

Step-by-step explanation:

Given:

2x-3y=-1\\3x-3y=26

Add the two equations, we get

2x-3y+3x+3y=-1+26\\(2x+3x)+(-3y+3y)=25\\5x+0=25\\5x=25

Therefore, the correct option is option C.

5 0
3 years ago
Solve using algebraic equation: <br> 5sin2x=3cosx<br><br> (No exponents)
DaniilM [7]
5\sin2x=3\cos x\iff10\sin x\cos x=3\cos x

by the double angle identity for sine. Move everything to one side and factor out the cosine term.

10\sin x\cos x=3\cos x\iff10\sin x\cos x-3\cos x=\cos x(10\sin x-3)=0

Now the zero product property tells us that there are two cases where this is true,

\begin{cases}\cos x=0\\10\sin x-3=0\end{cases}

In the first equation, cosine becomes zero whenever its argument is an odd integer multiple of \dfrac\pi2, so x=\dfrac{(2n+1)\pi}2 where n[/tex ]is any integer.\\Meanwhile,\\[tex]10\sin x-3=0\implies\sin x=\dfrac3{10}

which occurs twice in the interval [0,2\pi) for x=\arcsin\dfrac3{10} and x=\pi-\arcsin\dfrac3{10}. More generally, if you think of x as a point on the unit circle, this occurs whenever x also completes a full revolution about the origin. This means for any integer n, the general solution in this case would be x=\arcsin\dfrac3{10}+2n\pi and x=\pi-\arcsin\dfrac3{10}+2n\pi.
6 0
3 years ago
Thanks in advance if you help me!
8090 [49]
D) Definition of Equilateral Triangle
e) Vertical Angles
f1) ΔTVS <span>≅ </span>ΔUVR
f2) Side Angle Side Postulate
g) Definition of Congruent Triangles

Hope that helps!
4 0
3 years ago
What is the vertex of a circle in the equation of a circle?
anastassius [24]
<span> Move to the right side of the </span>equation<span> by adding to both sides.</span>
8 0
4 years ago
What is the range of the function g(x) = 3x^2 - 6x + 3 when the domain is defined as the set of integers, x, such that 0&lt;=x&l
kakasveta [241]

Answer:

Range is  3 <= g(x) <= 27.

Step-by-step explanation:

The range  is the values of g(x) for the given domain.

When x = 0 g(x) = 3(0)^2 - 6(0) + 3 = 3.

When x = 4 g(x) = 3(4)^2 - 6(4) + 3 =  27.

6 0
3 years ago
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