Answer:
1/6
Step-by-step explanation:
The total amount of people 8+4=12
there are 4/2=2 girls with glasses
the probability to chhose a girl with glasses is 2/12=1/6
Answer:
The third one
Step-by-step explanation:
You would first mark -2 on a graph then the circle would be open because the sign is just greater than, then the arrow would be pointing to the right, because that is the way your equation shows it
Direct variation is a relation that has the form
y = kx
where k is the constant of proportionality.
If you are told that a relation is a direct proportion, and you are given one data point, you can find k. The you can write the equation of the direct relation.
Here is an example.
The price of gasoline follows a direct variation.
John bought 5 gallons of gas and paid $15.
a) Write an equation for the relation.
b) Using the relation you found, how much do 13.8 gallons cost?
Solution:
Since the relation is a direct variation, it follows the general equation of a direct variation:
y = kx
We are given one data point, 5 gallons cost $15.
We plug in 5 for x and 15 for y and we find k.
y = kx
15 = k * 5
k = 3
Now that we know that k = 3, we rewrite the relation using our value of k.
y = 3x
This is the answer to part a).
Part b)
We use our relation, y = 3x, and we plug in 13.8 into x and find y.
y = 3x
y = 3 * 13.8
y = 41.4
The price of 15 gallons of gas is $41.40.
Answer:
See explanation
Step-by-step explanation:
a) To prove that DEFG is a rhombus, it is sufficient to prove that:
- All the sides of the rhombus are congruent:
- The diagonals are perpendicular
Using the distance formula; 
Using the slope formula; 
The slope of EG is 
The slope of EG is undefined hence it is a vertical line.
The slope of DF is 
The slope of DF is zero, hence it is a horizontal line.
A horizontal line meets a vertical line at 90 degrees.
Conclusion:
Since and 
, DEFG is a rhombus
b) Using the slope formula:
The slope of DE is 
The slope of FG is 
Answer: 23
Step-by-step explanation:
1. Divide the amount Lynn paid for the ribbon, 17.25, by the amount the ribbon cost per foot, 0.75, to get how many feet of ribbon she bought.
17.25 / 0.75 = 23
