Answer/Step-by-step explanation:
7. Line 1 = undefined.
Slope of a vertical line is always undefined. The run is zero as x-coordinate remains the same.
8. Line 2 = 




9. Line 3 = 




10. Line 4 = undefined (slope of a vertical line is always undefined)
11. Line 5 = 



12. Line 6 = 




13. Line 7 = 0
An horizontal line has no rise.
14. Line 8 = 0 (slope of horizontal line is always zero)
15. Line 9 = undefined (slope of a vertical line is always undefined)
16. Line 10 = undefined (slope of a vertical line is always undefined)
17. Line 11 = 0 (slope of horizontal line is always zero)
18. Line 12 = undefined (slope of a vertical line is always undefined)
The limit does not exist. Why? Because the left hand limit DOES NOT equal the right hand limit. Let’s double check:
We could use -0.000001 to represent the left hand limit. This is less than 0. We plug in 5x - 8
5(-0.000001) - 8
-0.000005 - 8
-8.000005
If we would continue the limit (extend the zeros to infinity), we would get exactly
-8
That is our left hand limit.
Our right hand limit will be represented by 0.000001. This is greater than 0. We plug in abs(-4 - x)
abs(-4 - (0.000001))
abs(-4.000001)
4.000001
If we would continue the limit (extend the zeros to infinity), we would get exactly
4
4 does not equal -8, therefore
The limit does not exist
Answer:
Option A is correct.
Step-by-step explanation:
If Δ YES ∼ Δ NOT, then it means that ΔYES and ΔNOT are similar triangles.
The similar triangles means that all the corresponding angles of the two triangles are same i.e. ∠ Y = ∠ N, ∠ E = ∠ O and ∠ S = ∠ T
Therefore, according to the property of similar triangles we can write that
.
Therefore, option A is correct.
Answer:
x = 348
Step-by-step explanation:
The measure of angle ABD is (0.15x+65) and the measure of angle CBD is(0.1x+28) . Find the value of x.
0.15x + 65 + 0.1x + 28 = 180
0.25x + 93 = 180
0.25x = 180 - 93
0.25x = 87
x = 87/0.25
x = 348