Answer:
Step-by-step explanation:
hello :
Part A : x+6y =6 means : 6y = - x+6
so : y = (-1/6)x+1 an equation for the line (D)
y = (1/3)x -2 is the line (D')
PartB : solution of the system : y = (-1/6)x+1 ....(1) color red
y = (1/3)x -2 ....(2) color bleu
is the intersection point : (6 ; 0)
PartC : Algebraically by (1) and (2) : (-1/6)x+1 = (1/3)x -2
(-1/6)x - (1/3)x = -2-1
(-x-2x)/6= -3
-3x = -18
so : x = 6 put this value in (1) or (2) : y = (-1/6)(6)+1 =0 the solution is : (6 ;0)
SO you need to divide 24 by 3 to know how many times she lost points. This would be eight times. And you know it is seven points for each time so then you multiply 8 by 7 and your answer will be 56 points.
See attachment for answer and math work.
Answer:
33, 11, 24 feet
Step-by-step explanation:
Let s represent the length of the second side. Then the length of the first side is 3s and the length of the third side is s+13. The perimeter is the sum of side lengths:
(3s) +(s) +(s +13) = 68
5s = 55 . . . . . subtract 13
s = 11 . . . . . . . divide by 5
The side lengths are ...
33, 11, 24 feet
Answer:
the plane 2.2 miles away from the runway
Step-by-step explanation:
Given the data in the question and as illustrated in the image below;
from the image, using trigonometric ratio;
SOH CAH TOA
sin = opposite / hypotenuse
sin10° = 0.38 / x
xsin10° = 0.38
x = 0.38 / sin10°
x = 0.38 / 0.173648
x = 2.1883 miles ≈ 2.2 miles { the nearest tenth of a mile }
Therefore, the plane 2.2 miles away from the runway
