The first thing we are going to do is draw a diagram of the situation to help us to solve the situation.
We an draw tow similar triangle between the length of the shadows and the height of the stick and the pole.
Since <span>meter stick has a length of 1 meter, the height of our smaller triangle is 1 meter. Let </span>
be height of of the pole. Since both triangles are similiar we can establish a proportion between their corresponding sides and solve for
:
We can conclude that the pole is
4.04 meters tall.
Answer:
Equal 2 payments of 17.50$.
Answer:
You showed the right work and got the right answer!
x = 6
Step-by-step explanation:
Since B is in the middle of A and C, AB + BC = AC
So,
2x - 11 + 8 = x + 3
x - 3 = 3
x = 6
Intersection of the first two lines:
Multiply the first equation by 4 and the second by 5:
Subtract the two equations:
Plug this value for y in one of the equation, for example the first:
So, the first point of intersection is 
We can find the intersection of the other two lines in the same way: we start with
Use the fact that x and y are the same to rewrite the second equation as
And since x and y are the same, the second point is 
So, we're looking for a line passing through and . We may use the formula to find the equation of a line knowing two of its points, but in this case it is very clear that both points have the same coordinates, so the line must be 
In the attached figure, line 
is light green, line 
is dark green, and their intersection is point A.
Simiarly, line 
is red, line 
is orange, and their intersection is B.
As you can see, the line connecting A and B is the red line itself.
Answer:
the slope is -4/5 and the y-intercept is 0
Step-by-step explanation:
