Answer:
The slope is -2/9
Step-by-step explanation:
9y + 2x = 54
Solve for y to get the equation in the form
y = mx+b where m is the slope and b is the y intercept
Subtract 2x from each side
9y + 2x -2x = -2x+54
9y = -2x+54
Divide by 9
9y/9 = -2x/9 + 54/9
y = -2/9 x +6
The slope is -2/9
Parallel lines have the same slope
Answer:
151283
Step-by-step explanation:
Answer:
Both Law of Sines and Cosines can be used to determine the angle Q.
Step-by-step explanation:.
Since from Law of Sines with one angle and three sides we can find other angles using the ratio obtained with the given angle and side length opposite side if angle P is not given we couldn't use this.
Law of Cosines can be used to find any angle of triangle with all three side lengths given and angle P is also not required to find angle Q.
Answer:

Step-by-step explanation:
Given

Required
Determine the amount of sweet Ivy gets when Dennis = 42
We have:
and

Substitute 42 for Dennis in 

Convert to fraction

Cross Multiply:

Divide through by 7




Answer:
Height of the building = 115.4 ft.
Step-by-step explanation:
Height of building = AB + 46.4 + CD + 30.5
By applying Pythagoras theorem in ΔABP,
(26)² = (10)²+ (AB)²
676 - 100 = AB²
AB² = 576
AB = 24 ft
By applying sine rule in ΔCDE,
cos(60°) = 
CD = CE × 
CD = 
CD = 14.5 ft
Total Height = 24 + 46.4 + 14.5 + 30.5
= 115.4 ft