Answer:
Part a) We should try to eliminate the y's because the coefficients are the same
Part b) The solution is the point (6,-9)
Step-by-step explanation:
Part a) Which variable pair should we try to eliminate?
we have
----> equation 1
----> equation 2
Solve by elimination
We should try to eliminate the y's because the coefficients are the same
Part b) What is the solution to the system?
Multiply equation 2 by -1 both sides
-----> equation 3
Adds equation 1 and equation 3
Find the value of y
![8x+2y=30[/tex[tex]8(6)+2y=30](https://tex.z-dn.net/?f=8x%2B2y%3D30%5B%2Ftex%3C%2Fp%3E%3Cp%3E%5Btex%5D8%286%29%2B2y%3D30)
The solution is the point (6,-9)
Answer:
30
Step-by-step explanation:
Angles on a straight line are equal to 180°
180°-120°= 60°
Sum of Co interior angles are equal to 180°
180°-60° =120°
90°+60°+ x = 180°
((180° - 90° - 60°= 30°))
Total number of seats = 5
Total number of friends = 5
We want to find in how many ways the 5 friends can sit or be arranged in 5 seats. This can be found using permutations.So we are to find the permutations of 5 objects taken 5 at a time. This can be expressed as 5P5.
5P5 = 120
So, the 5 friends can sit in 120 different ways.
The correct answer is option D
The tax is $18.90
(9/100) x 120 = $18.90
hope i helped :)
Answer:
352.7 m
Step-by-step explanation:
Distance from the cliff 2000m
Angle = 10°
How tall is the cliff?
We solve the above question using the trigonometric function of Tangent
tan θ = Opposite/Adjacent
Opposite = x
Adjacent = 2000m
θ = 10°
Hence:
tan 10 = x/2000m
Cross Multiply
x = tan 10 × 2000m
x = 352.65396142 m
Approximately = 352.7 m
The cliff is 352.7 m tall
