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3 years ago

4(x+5) = 4x +5x it's probably easy but i'm dumb

1 answer:

6 0

4(x+5) = 4x +5x

Simplify by distributing and combining like terms
(4)(x)+(4)(5)=4x+5x
4x+20=4x+5x
4x+20=(4x+5x)
4x+20=9x

Subtract 9x from each side
4x+20−9x=9x−9x
5x+20=0

Subtract 20 from each side
−5x+20−20=0−20
−5x=−20

Divide each side by -5
-5x ÷ -5 = -20 ÷ -5
x = 4

P.S this was actually harder than most algebra problems, so don't beat yourself about it :D

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3 years ago

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2 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

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

i.e. same point given.

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3 years ago

Find the product -8. (-8)=

My name is Ann [436]

The product of -8. (-8)= 64

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2 years ago

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3 years ago