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Zielflug [23.3K]
3 years ago
10

How many points are needed to determine a unique line

Mathematics
1 answer:
torisob [31]3 years ago
5 0

In geometry, a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints. A closed line segment includes both endpoints, while an open line segment excludes both endpoints; a half-open line segment includes exactly one of the endpoints.

Examples of line segments include the sides of a triangle or square. More generally, when both of the segment's end points are vertices of a polygon or polyhedron, the line segment is either an edge (of that polygon or polyhedron) if they are adjacent vertices, or otherwise a diagonal. When the end points both lie on a curve such as a circle, a line segment is called a chord (of that curve).


So I think it would be 2


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Louise completed the work shown below. (5x3 + 3)2 = (5x3)2 + (3)2 = 25x6 + 9 Determine if Louise’s answer is correct. Explain
Sergeu [11.5K]

Louise’s answer is not correct. She is missing the term 30x3. When squaring a binomial, it is best to write the product of the binomial times itself. Then you can use the distributive property to multiply each term in the first binomial by each term in the second binomial. Louise also could have used the formula for a perfect square trinomial, which is found by squaring a binomial.

10 0
3 years ago
Read 2 more answers
4x-5y=-3
tresset_1 [31]
4x - 5y = -3  ⇒ 1st equation
2x + 3z = 4  ⇒ 2nd equation
3y - z = 8     ⇒ 3rd equation

find the value of z.

3y - z = 8
- z = 8 - 3y
z = (8 - 3y) / -1
z = -8 + 3y

Substitute z with its value in the 2nd equation:
2x + 3z = 4
2x + 3(-8 + 3y) = 4
2x - 24 + 9y = 4
2x + 9y = 4 + 24
2x + 9y = 28

find value of x
2x + 9y = 28
2x = 28 - 9y
x = (28 - 9y)/2
x = 14 - 9y/2

Substitute the value of x in 1st equation
4x - 5y = -3
4(14-9y/2) - 5y = -3
56 - 36y/2 - 5y = -3
- 36y/2 - 5y = -3 - 56
- 36y/2 - 5y = - 59
2(-36y/2 - 5y) = 2(-59)
-36y - 10y = -118
-46y = -118
-46y/-46 = -118/-46
y = 2 26/46
y = 2 13/23  

x = 14 - 9y/2
x = 14 - 9 (2 13/23) /2
x = 14 - 9 (59/23) / 2
x = 14 - 531/23 / 2
x = 14 - 531/23 * 1/2
x = 14 - 531/23*2
x = 14 - 531/46
x = (14*46/46) - 531/46
x = 644/46 - 531/46
x = (644-531)/46
x = 113/46
x = 2 21/46

z = -8 + 3y
z = -8 + 3(2 13/23)
z = -8 + 3(59/23)
z = -8 + 177/23
z = (-8*23/23) + 177/23
z = -184/23 + 177/23
z = (-184 + 177)/23
z = -7/23

x = 2 21/46 ; y = 2 13/23 ; z = -7/23

4x - 5y = -3
4(113/46) - 5(59/23) = -3
452/46 - 295/23 = -3
9.826 - 12.826 = -3
-3 = -3

2x + 3z = 4
2(113/46) + 3(-7/23) = 4
226/46 - 21/23 = 4
4.913 - 0.913 = 4
4 = 4

3y - z = 8
3(59/23) - (-7/23) = 8
177/23 + 7/23 = 8
7.696 + 0.304 = 8
8 = 8 

8 0
3 years ago
What you have learned from thos topic​
mariarad [96]
What topics? and where’s your question
3 0
3 years ago
Choose which equation(s) demonstrate the Distributive Property:
Butoxors [25]

Hey there! I'm happy to help!

The distributive property is when you multiply a number outside the parentheses by each term inside. We see this demonstrated in answer D) 6n-6=6(n-1).

6(n-1) can be undistributed. 6(n)=6n and 6(-1)=-6, giving us 6n-6, which is still equal to 6(n-1).

Have a wonderful day! :D

7 0
3 years ago
#20 A shirt costs $15 more than a pair of shorts. Terrell paid $101 for 3 shirts and 5 pairs of shorts. How much did each shirts
bixtya [17]

Answer:

$22.

Step-by-step explanation:

Let x represent cost of each shirt and y represent cost of each shorts.

We have been given that a shirt costs $15 more than a pair of shorts. We can represent this information in an equation as:

y=x-15...(1)

We are also told that Terrell paid $101 for 3 shirts and 5 pairs of shorts. We can represent this information in an equation as:

3x+5y=101...(2)

Upon substituting equation (1) in equation (2), we will get:

3x+5(x-15)=101

3x+5x-75=101

8x-75=101

8x-75+75=101+75

8x=176

\frac{8x}{8}=\frac{176}{8}

x=22

Therefore, the cost of each shirt is $22.

3 0
3 years ago
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