Answer:
Step-by-step explanation:
The equation of the line in slope-intercept form is:
y=mx+b
Where m the slope of the line and b the y-intercept.
When two points are given, it's convenient to calculate the slope first.
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
The points are (3,5) and (-2,1):
The equation is now:
To calculate b, we use any of the given points and solve for b. Use (3,5):
Operate:
Solve:
The required equation of the line is:
Answer:
5 km
Step-by-step explanation:
We are given the distances walked by Maria;
We are required to determine the displacement from her starting point;
- We are going to use Pythagoras's theorem;
a² + b² = c²
Taking, the distances towards south and towards west as the legs of the triangle;
Then, c² = 3² + 4²
= 25
c = √25
= 5 km
Therefore, the displacement from the starting point is 5 km
Answer: I think that it is the first one
Answer:i
Step-by-step explanation:
Total coin = 36
Let the no. Of quarter = x
No. Of nickel = 1/15 × x = x/15
So, x + x/15 = 36
Multiply each terms by 15
15x + x = 540
16x = 540
x = 540/16
x = 33.75
Nickel is x/15 = 33.75/15 = 2.25
Answer:
-2/3
Step-by-step explanation:
