3 years ago

Type an integer or decimal 0.16(y-5)+0.12y=0.20y-0.9

Mathematics

1 answer:

Over [174]3 years ago

4 0

Answer:

16y

Step-by-step explanation:

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Which statements are true regarding undefined terms in geometry?

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A line has one dimension, length.

A plane consists of an infinite set of lines.

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100 points help with recursive function!

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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

A sand dune stands 5 feet above sea level. The hill is eroding at a rate of 1 foot per 20 years. Let y represent the height of t

avanturin [10]

y = -1/2x + 5 should be your equation because it is 5 ft above sea level and its eroding, or going down, 1 ft per 20 years. So every year, the sand dune erodes 1/20 ft more.

Hope this helps!

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3 years ago

Read 2 more answers

10. The perimeter of a triangle is 48'. The sides are in the ratio of 1 to 2 to 3. Find the three sides.

pentagon [3]

Answer:

Step-by-step explanation:

The sides are in the ratio 1:2:3, so the lengths of the sides are 1x, 2x, 3x.

1x + 2x + 3x = 48'

6x = 48'

x = 8'

The lengths of the sides are 8', 16', 24'

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2 years ago