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astraxan [27]
3 years ago
10

4x+5=45 (Show work to get brainliest) A) 5 B) 10 C) 15 D) 20

Mathematics
2 answers:
solmaris [256]3 years ago
6 0

Answer: x = 10

Step-by-step explanation: To solve for <em>x</em> in the equation you see here, our goal is to get <em>x</em> by itself on one side of the equation.

Our first step will be to isolate the term containing <em>x</em> which in this case is 4x. To isolate 4x, we have to get rid of the +5 by subtracting 5 from both sides of the equation.

On the left, +5 -5 cancels and we're left with 4x. On the right, 45 - 5 simplifies to 5.

So our equation now reads 4x = 40.

To get <em>x</em> by itself since it's being multiplied by 4, we just divide both sides of the equation by 4. On the left, the 4's cancel and we're left with <em>x</em>. On the right, 40/4 simplifies to 10 so our answer is <em>x = 10</em>.

jasenka [17]3 years ago
3 0

Answer:

B) 10

Step-by-step explanation:

4x+5=45

     -5   -5

4x=40

/4    /4

x=10

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Calculate (A⃗ ×B⃗ )⋅C⃗ for the three vectors A⃗ with magnitude A = 5.08 and angle θA = 25.6 ∘ measured in the sense from the +x
alexgriva [62]

Answer:

(A⃗ ×B⃗ )⋅C⃗ = - 76.415

Step-by-step explanation:

First we need to calculate (A⃗ ×B⃗ ) :

(A⃗ ×B⃗ ) = A.B.sin (α).n

Where A is the magnitude of A⃗

Where B is the magnitude of B⃗

Where α is the angle between A⃗ and B⃗ = 63.9 - 25.6 = 38.3

Finally n is the vector orthogonal to A⃗ and B⃗

n magnitude is 1 and his direction is given by the right hand-rule

so n = ( 0 , 0 , 1 )

(A⃗ ×B⃗ ) = A.B.sin (α).n = 5.08 . 3.94 . sin (38.3) . (0 , 0 , 1 ) = (0,0,12.4)

C⃗ can be written as C.(0,0,-1) because of his +z - direction

C.(0,0,-1) = 6.16.(0,0,-1) = (0,0,-6.16)

(A⃗ ×B⃗ )⋅C⃗ = (0,0,12.4).(0,0,-6.16) = -76.41480787 = -76.415

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3 years ago
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