Answer:
Key features: the functions can not be parallels, this means that their respective slopes can not be equal or multiple to the other
Step-by-step explanation:
Take for instance 2 linear functions, and
If they intersect in some point in the space, say that is
Then (x1,y1)=(x3,y3), (x2.y2)= (x3,y3)
So, we can compare the two functions and get the following result;
It tells us that if M=m, we get an error, meaning that the functions are in fact parallels and there is no way that they meet in some point.
hope this helps!
Answer:
Suzie walks faster by 0.27 miles per hour.
Step-by-step explanation:
Addie walked 
miles in 45 minutes and Suzie covered 
miles in 
of an hour.
So, Addie walked 2.5 miles in 45 minutes i.e. 
hours.
Therefore, the walking speed of Addie is 
miles per hour.
Again, Suzie covered i.e. 2.4 miles in i.e. 0.67 hours.
So, the walking speed of Suzie is 
miles per hour.
Hence, Suzie walks faster by (3.6 - 3.33) = 0.27 miles per hour. (Answer)
Answer:
The weight of the parcel is 5 N
Step-by-step explanation:
we know that
Weight can be calculated using the equation:
where
W ----> weight (W) is measured in newtons (N)
m ----> mass (m) is measured in kilograms (kg)
g ----> gravitational field strength (g) is measured in newtons per kilogram (N/kg)
In this problem we have
Remember that
To convert g to kg
Divide by 1,000
so
substitute the values in the equation
therefore
The weight of the parcel is 5 N
We know that the angles of a triangle sum to 180°. For ΔABC, this means we have:
(4x-10)+(5x+10)+(7x+20)=180
Combining like terms,
16x+20=180
Subtracting 20 from both sides:
16x=160
Dividing both sides by 16:
x=10
This means ∠A=4*10-10=40-10=30°; ∠B=5*10+10=50+10=60°; and ∠C=7*10+20=70+20=90.
For ΔA'B'C', we have
(2x+10)+(8x-20)+(10x-10)=180
Combining like terms,
20x-20=180
Adding 20 to both sides:
20x=200
Dividing both sides by 20:
x=10
This gives us ∠A'=2*10+10=20+10=30°; ∠B'=8*10-20=80-20=60°; and ∠C'=10*10-10=100-10=90°.
Since the angle are all congruent, ΔABC~ΔA'B'C' by AAA.
