Answer:
slope is undefined
Step-by-step explanation:
Calculate the slope m using the slope formula
m =
with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (1, - 3)
m = =
Since division by zero is undefined then the slope of the line is undefined
Describe this number line and the numbers and fractions shown.
2 answers:
Answer:
Please check the number line attached below.
Step-by-step explanation:
Please check the attached graph below.
The line graph is representing that a number line:
- Going from negative 2 to positive 2 in increments of 1.
- There are 4 equal spaces between each number.
From the graph, it is clear that the point 0 is taken as arbitrary. The left side number units from 0 represent the negative values and the right-sided number units from 0 represent the positive values.
When we move on the right side from the 0, the numbers increase and when you move on the right side from the 0, the number decreases.
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Observe attached picture.
On picture we have:
A = height of flagpole = x ft
B = length of flagpole's shadow = 24 ft
C = height of sign = 6 ft
D = length of sign's shadow = 3 ft
When we draw a picture representing this problem we can also add another line marked in red. This way we can see that we have two right-angle triangles. We can see that both have same angle marked with α.
We can apply trigonometry rules to find height of flagpole.
From small triangle containing sign we can find tangens function:
Similarly we can do for large triangle containing flagpole:
We see that these two equations have same left sides. This means that their right sides must also be same:
We can solve for A:
Height of flagpole is 48 feet.
On picture we have:
A = height of flagpole = x ft
B = length of flagpole's shadow = 24 ft
C = height of sign = 6 ft
D = length of sign's shadow = 3 ft
When we draw a picture representing this problem we can also add another line marked in red. This way we can see that we have two right-angle triangles. We can see that both have same angle marked with α.
We can apply trigonometry rules to find height of flagpole.
From small triangle containing sign we can find tangens function:
Similarly we can do for large triangle containing flagpole:
We see that these two equations have same left sides. This means that their right sides must also be same:
We can solve for A:
Height of flagpole is 48 feet.