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3 years ago

When x = 12, find the ordered-pair solution of y = −(1/6)x − 2

Mathematics

1 answer:

Juliette [100K]3 years ago

7 0

Y = -(1/6)(12) - 2 = -2 - 2 = -4
Therefore, solution is (12, -4)

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The distance from the Earth to Saturn averages 886 million (886,000,000) miles. Write this number in scientific notation.

kiruha [24]

Answer:

8.86 x 10^8

Step-by-step explanation:

Scientific notation means that you represent the standard form of a number like this:

number less than ten x 10 to the ___ power

In standard form, the decimal point is at the end of 886,000,000.

You have to move the decimal point to the left until it creates a number less than 10, but greater than 1:

8.86,000,000

You count how many decimal places you moved it. In this case, it is 8.

So your answer becomes 8.86 x 10^8

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Step-by-step explanation:

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3 years ago

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5 liters of water weighs 11 pounds. A bucket contains 143 pounds of water. How many liters of water are in the bucket

slavikrds [6]

Answer:

65 liters

Step-by-step explanation:

11/5=2.2

143/2.2=65

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3 years ago

Need help solving for X

MAXImum [283]

I believe that x=20 from the math i did hopefully its helpful.

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3 years ago

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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