Answer:
True
Step-by-step explanation:
The place where lines intersect is where the x and y values match up.
Just like this, if the lines do not intersect, there's no solution.
If the lines seem to be one line, there is all real number solutions.
Hope this helped!
Answer:
= 35 - 13n
Step-by-step explanation:
Assuming you require the n th term formula
The n th term of an arithmetic sequence is
= a₁ + (n- 1)d
where a₁ is the first term and d the common difference
Here a₁ = 22 and d = - 13, thus
= 22 - 13(n - 1) = 22 - 13n + 13 = 35 - 13n
For this case we have that by definition, the equation of a line in the point-slope form is given by:
Where:
m: It is the slope of the line and 
is a point through which the line passes.
We have the following equation of the slope-intersection form:
Where the slope is 
By definition, if two lines are perpendicular then the product of their slopes is -1.
Thus, a perpendicular line will have a slope:
Thus, the equation will be of the form:
Finally we substitute the given point and we have:
Answer:
Option B
Answer: he hiked 5.6 miles up the canyon.
Step-by-step explanation:
Let x represent his speed hiking uphill.
His speed running downhill was 2.8 mph greater than his speed hiking uphill. This means that his speed running downhill would be x + 2.8
Distance = speed × time
Kevin hiked up Lamb’s Canyon in 2 hours. This means that the distance covered by hiking uphill is 2 × x = 2x
He ran back downhill in 1 hour. This means that the distance covered by running downhill is 1 × (x + 2.8) =
x + 2.8
Since the distance uphill is the same as the distance downhill, then
2x = x + 2.8
2x - x = 2.8
x = 2.8
Therefore, the distance hiked up the canyon is
2x = 2 × 2.8 = 5.6 miles
