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3 years ago

9

What is the answer to this?

1 answer:

azamat3 years ago

3 0

We must solve for x by simplifying both sides of the equation, then isolating the variable:

1/2(x - 2) <span>≤ 1
</span>1/2x - 1 <span>≤ 1
</span>1/2x - 1 + 1 <span>≤ 1 + 1
</span>1/2x / 1/2 ≤ 2 / 1/2
x <span>≤ 4</span>

To prove this, enter 4 or any number smaller than 5 into the equation and solve to see if the statement still stands true.

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3 years ago

Let L be the line parametrized by x = 2 + 2t, y = 3t, z = −1 − t. (a) Find a linear equation for the plane that is perpendicular

Elden [556K]

Answer:

Step-by-step explanation:

Given that L is a line parametrized by

$x = 2 + 2t, y = 3t, z = −1 − t$

The plane perpendicular to the line will have normal as this line and hence direction ratios of normal would be coefficient of t in x,y,z

i.e. (2,3,-1)

So equation of the plane would be of the form

$2x+3y-z =K$

Use the fact that the plane passes through (2,0,-1) and hence this point will satisfy this equation.

$2(2)+3(0)-(-1) =K\\K =5$

So equation is

$2x+3y-z =5$

b) Substitute general point of L in the plane to find the intersecting point

$2(2+2t)+3t-(-1-t) =5\\4+8t+1=5\\8t=0\\t=0\\(x,y,z) = (2,0,-1)$

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3 years ago