Answer:

Step-by-step explanation:
The given line is in slope-intercept form,
y = mx + b,
where m is the slope.
The slope of the given line is 1/3, so m = 1/3.
Parallel lines have equal slopes, so the slope of the parallel line is also 1/3.
y = 1/3 x + b
Now we can find the equation of the parallel line through point (6, 3) by using the given point's coordinates for x and y and solving for b.
3 = (1/3)(6) + b
3 = 2 + b
b = 1
Equation: 
Answer:
The first option (5.7km)
Step-by-step explanation:
Since we have a right angle triangle and we know two of its sides we can easily find out the thirds side (the value of d) by using the Pathagoras Theorem. In our case 7 and d are our legs and the hypotenuse is equal to 9, so...
(Based on the Pathagoras Theorem)



d ≈ 5.7km
There for aproximate distance across the lake is equal to 5.7km
Answer: 3.6
Step-by-step explanation:
½bh = 6.12
½ × 3.4 × b = 6.12
b = 6.12/ 1.7
Answer:
The system of equations is
and
Fred's age is 36 years old and Nathan's age is 9 years old
Step-by-step explanation:
Let
f -----> Fred's age
n ----> Nathan's age
we know that
-----> equation A
----> equation B
equate the equations and solve for n
Find the value of f
therefore
Fred's age is 36 years old and Nathan's age is 9 years old