Answer:
y=3x
Step-by-step explanation:
The equation of a line can be written as 'y=mx+b', where 'm' is the slope, 'b' is a number, and 'x' and 'y' represent the 'x' and 'y' co-ordinates of any point on the line.
To find the slope m, take two points (x₁,y₁) and (x₂,y₂) and use the formula
m= (y₂-y₁)/(x₂-x₁)
Our points are (1,3) and (2,6):
(6-3)/(2-1)=3/1=3
Now that we have found the slope, we can write the equation as
y=3x+b
To find b, sub in a point:
9=3(3)+b
9=9+b
b=0
So our equation is y=3x
Given:
The phrase is "Wally mowed two more lawns than he mowed last week".
To find:
The expression that models the given phrase.
Solution:
Let the number of lawns mowed by Wally last week be n.
We know that, we use plus sign "+" for "more".
If Wally mowed two more lawns than he mowed last week, then the lawns mowed by the Wally this week is the sum of n and 2.
Lawns mowed this week = 
The required expression for the phrase "Wally mowed two more lawns than he mowed last week" is n+2.
Therefore, the correct option is A.
Answer:You start at 30 on the x axis and go up 450 1 right
Step-by-step explanation:
<em>Answer:</em>
Complete proof is written below.
Facts and explanation about the segments shown in question :
- As BC = EF is a given statement in the question
- AB + BC = AC because the definition of betweenness gives us a clear idea that if a point B is between points A and C, then the length of AB and the length of BC is equal to the length of AC. Also according to Segment addition postulate, AB + BC = AC. For example, if AB = 5 and BC= 7 then AC = AB + BC → AC = 12
- AC > BC because the Parts Theorem (Segments) mentions that if B is a point on AC between A and C, then AC > BC and AC>AB. So, if we observe the question figure, we can realize that point B lies on the segment AC between points A and C.
- AC > EF because BC is equal to EF and if AC>BC, then it must be true that the length of AC must greater than the length segment EF.
Below is the complete proof of the observation given in the question:
<em />
<em>STATEMENT REASON </em>
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1. BC = EF 1. Given
2. AB + BC = AC 2. Betweenness
3. AC > BC 3. Def. of segment inequality
4. AC > EF 4. Def. of congruent segments
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<em>Keywords: statement, length, reason, proof</em>
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Lets say we have 7 items, and we add 7 more.
Then, in the next situation, we have 7 items and we add 8 more. Now we know that 8 = 7 + 1, so we are actually performing 7 + 7 +1. Our diagram already shows us the value of 7 + 7 so we just add 1.
The items can be represented by circles, triangles etc
