Answer:
D. -11/12
Step-by-step explanation:
Slope Formula: 
Simply plug in our coordinates:
m = (4 - 15)/(0 + 12)
m = -11/12
Answer: 14. x = 16; y = 23
15. x = 9; y = 13
Step-by-step explanation:
14. (4x + 4) = (7x - 44) (alternate exterior angles are congruent)
4x + 4 = 7x - 44
Collect like terms
4x - 7x = -4 - 44
-3x = -48
Divide both sides by -3
x = -48/-3
x = 16
39° + (8y - 43)° = 180° (consecutive exterior angles are supplementary)
39 + 8y - 43 = 180
Add like terms
-4 + 8y = 180
Add 4 to both sides
8y = 180 + 4
8y = 184
Divide both sides by 8
y = 184/8
y = 23
15. (15x - 26)° = (12x + 1)° (alternate exterior angles are congruent)
15x - 26 = 12x + 1
Collect like terms
15x - 12x = 26 + 1
3x = 27
Divide both sides by 3
x = 27/3
x = 9
28° + (12x + 1)° + (4y - 9)° = 180° (sum of interior angles of ∆)
Plug in the value of x
28 + 12(9) + 1 + 4y - 9 = 180
28 + 108 + 1 + 4y - 9 = 180
Add like terms
128 + 4y = 180
Subtract 128 from each side of the equation
4y = 180 - 128
4y = 52
Divide both sides by 4
y = 52/4
y = 13
Both answer and explantion.
Answer:
3 1/2
Step-by-step explanation:
Answer:
A line parallel to the line y = x -4 would have a slope of 1.
A line perpendicular to the line y = x -4 would have a slope of -1.
Remember, parallel lines are lines that never intersect, which means that they cannot possibly have different slopes. A perpendicular line will <em>always</em> have the opposite slope as the first line, because the two lines must intersect at a 90 degree angle. The attached image shows how this works.
Hope this helps you out!
Answer:
The line of sight distance is 1285.58 feet.
Step-by-step explanation:
The situation is illustrated in the figure attached.
From the figure we see that the altitude difference of the planes and the distance between them form a right triangle with one angle of 40° .
The line of sight between the two planes is the hypotenuse of the triangle.
The altitude difference of the planes is

Therefore, if we call
the line of sight distance, from trigonometry we have


Therefore, the line of sight distance (x) is 1285.58 feet.