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3 years ago

–12(x + 3) - 4(5 - 2x) = 20

Mathematics

2 answers:

bekas [8.4K]3 years ago

8 0

-12x -36 -20 +8x = 20
-12x + 8x = 20 + 36 + 20
-4x = 76
x = -19

12345 [234]3 years ago

7 0

Answer:

x = -19

Step-by-step explanation:

1. make parentheses disappeared using distribution law.

$- 12x - 36 - 20 + 8x = 20$

2. sum up b numbers and x

$- 4x - 56 = 20$

3. separate x and number to two sides of the equation

$- 4x = 76$

4. both side divided by -4

$x = - 19$

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3 years ago

What’s the answer to this equation<br> 4x7=(__x5)+(4x2)

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Answer:

Step-by-step explanation:

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3 years ago

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3 years ago

Read 2 more answers

Find the equation for the plane that contains the line x=−1+3t , y=1+2t, z=2+4t and is perpendicular to the plane containing the

Ivan

Let $L$ be the line given by the vector equation

$(-1,1,2) + \lambda(3,2,4) \ , \lambda \in \mathbb{R}$ .

First, we use the director vectors of the lines L1 and L2 to get the

vector equation of the plane containing them, which we denote by $\Pi_1$ . This is,

$\\\\\Pi_1 : (1,-1,5) + \alpha (2,-1,6) + \beta (1,1,-3) \ , \alpha, \beta \in \mathbb{R}\\\\\\$

We observe that $\vec{N} = (2,-1,6)\times(1,1,-3) = (-3,12,3) \ne (0,0,0)$ . Therefore, the vector equation of $\Pi_1$ defines a plane and $\vec{N}$ is a normal vector to $\Pi_1.$

Finally, the vector equation for the wanted plane, which we denote by $\Pi$ , is

$\Pi : (-1,1,2) + r(3,2,4) + s(-3,12,3), r,s \in \mathbb{R} \ .$

Thus, if $s = 0$ , then $L \subset \Pi$ and since $\vec{N}$ is parallel to $\Pi$ , then it is perpendicular to $\Pi_1$ .

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3 years ago