SOMEONE PLSSSS HELP!!! Explain the difference in the graphs of Car #1 and Car #2. What is the Slope of each? Why is one line ste
eper than the other? What does this mean in terms of the Car's Fuel Efficiency or miles per gallon?
1 answer:
Answer:
Car 1 slope = 35
Car 2 slope = 40
Red line(car 2) is steeper than the blue line(car 1)
slope is miles per gallon
Step-by-step explanation:
Slope formula is
To find slope, pick two points from graph of Car 1
(4,140) (6,210)
= 35
To find slope, pick two points from graph of Car 2
(3,120) (5,200)
= 40
When slope is larger then line is steeper
slope of Car 2 is greater than slope of Car1
So Red line is steeper than the blue line.
Slope is change is y over change in x
It means Change in miles over change in gallons
So slope is miles per gallon
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Answer:
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Step-by-step explanation:
It is given that two vertices of square are (0,0) and (4,2).
Now the problem is that you haven't given that whether these two vertices are adjacent vertices or opposite vertices of the square.
1. By Supposing that these two are adjacent vertices of Square
The third vertex will be at (-4,2) which lies in third quadrant.
Suppose the coordinate of fourth vertex be (x,y).
Mid point of line joining (4,2) and (-4,2) is{ [4+(-4)]/2,(2+2)/2} is (0,2).
Mid point of line joining (x,y) and (0,0) is (x/2,y/2).
Since diagonals of square bisect each other,
∵ x/2=0
⇒x=0
and
y/2=2
⇒y=4
So, The Coordinate of fourth vertex is (0,4).
Now coming back to second condition if these are two opposite vertex of Square.
Let the third coordinate be (a,b).
Length of diagonal=
Now,let side of Square be A.
Then length of Diagonal of square =√2 A
⇒√2 A=2√5
⇒A =√10
As third vertex is (a,b).
Using distance formula
a² + b²=10 -------------(1)
(a-4)²+ (b-2)²=10 --------------(2)
Solving expression (1) and (2), we get
⇒a²+ b²=(a-4)² +(b-2)²
⇒2a + b =5
⇒b=5-2a
Putting the value of b in (1),we get
⇒a² +(5-2a)²=10
⇒a²+25+4a²-20a =10
⇒5a²-20a+15=0
⇒a² - 4a + 3=0
Splitting the middle term,we get
⇒(a-3)(a-1)=0
⇒a=3 ∧ a=1
we get b=5-2×1=3 and b=5-2×3=5-6=-1
So,the other vertex are (1,3) and(3,-1).
