Explain why there must be at least two lines on any given plane.

Answers

Answer 1

Answer: The correct answer is:
there must be at least two lines on any plane because a plane is defined by 3 non-collinear points.

Explanation:
Since a plane is defined by 3 non-collinear points, we could have: a line and a point not on that line; two intersecting lines; two parallel lines; or simply 3 non-collinear points.
For 3 non-collinear points: If none of the 3 points are collinear, then we could have 3 lines, 1 going through each point. These lines may or may not intersect. If two of the 3 points are collinear, then we have a line through those 2 points as well as a line through the 3rd point.. Again, these lines may intersect, or they may be parallel.

Answer 2

Answer:

There exists one plane through any three noncollinear points. Since the points cannot be on the same line, at least two lines would have to pass through any of the three points.

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5.2x - 1.7x = 7 what is the value of x?
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What is the distance around a triangle that has sides measuring 2 1/8, 3 1/2, and 2 1/2 feet?

Answers

Perimeter = 2 1/8 + 3 1/2 + 2 1/2 = 7 (1 + 4 + 4)/8 = 7 9/8 = 8 1/8

Find the value and expression for 0

Sin(0) = cos(28)

Answers

Answer:

The value of 0 is 62

The expression of 0 is 0 = arcsin (cos (28))

Step-by-step explanation:

Sin(0) = cos(28)

The value of 0 is 90 - 28 = 62 degrees.

The expression of 0 is derived from algebraically solving for 0

0 = arcsin (cos (28))

How many real number solutions does the equation have?-8x^2-8x-2=01
2
no solutions
or
infinitely many solutions

solve the equation by completing the square. round to the nearest hundredth. x^2+6x=-7
4.41,1.59
-4.41,1.59
-4.41,-1.59
4.41,-1.59

and the last one is
solve the systems of equations algebraically. show all of your steps.
y=x^2+2x
y=3x+20

Answers

Hello,

I)
1 solution with multiplicity 2
(2x+1)²=0

II) ANSWER C (-4.41, -1.59)
-3-√2 and -3+√2

III)
y=x²+2x
y=3x+20
==>x²+2x=3x+20
==>x²-x-20=

Δ=1+4*20=81=9²

(x=(1-9)/2=-4 and y= 3*(-4)+20=8 ) or (x=(1+9)/2=5 and y=3*5+20=35)

Use the substitution method to solve the system of equations. Choose the correct ordered pair.x + y = 5 y = 7

Answers

First we put 7 in the place of y, after that subtract 7 from both sides, the answer is -2.
x + y= 5 y = 7
x+ 7=5
x= 5-7
x = -2

What two numbers add to -5 and multiply to 12?

Answers

negative 6 and negative 2

-2+-3x2.4=12 possible. Hold on.

Your body eliminate about._ of BAC per hour

Answers

Your body eliminates about .015 of BAC per hour.

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