Answer:
x = -2 and y = 1
Step-by-step explanation:
for details see image
Answer:
a= -2
b= 1
c= 4
d=0
Step-by-step explanation:
-5 times -2 is 10.
-5 times 1 is -5.
-5 times 4 is -20.
-5 times 0 is 0.
Answer:
When we have a rectangular point (x, y), the angle between the x-axis and a ray that connects the origin with this point is given by:
Tan(θ) = y/x.
Cos(θ) = x/(√(x^2 + y^2))
Sin(θ) = y/(√(x^2 + y^2))
So for the point (-4,3) we have:
x = -4
y = 3
√( (-4)^2 + 3^2) = √(16 + 9) = √25 = 5
Then:
Tan(θ) = 3/-4 = -(3/4)
Sin(θ) = 3/5
Cos(θ) = -4/5
And for the other 3 trigonometric functions (the inverses of the 3 above ones) we have:
Ctg(θ) = 1/Tan(θ) = -4/3
Csc(θ) = 1/Sin(θ) = 5/3
Sec(θ) = 1/Cos(θ) = -4/5
(1) 34.8 liters
(2) $63.55
Solution:
(1) There is a mistake in question. It is 42 liters.
Total gasoline a car can hold = 42 liters
Liters of gasoline filled in beginning of the week = 35.8
Liters of gasoline used during the week = 28.6
Remaining liters of gasoline in the tank = 35.8 – 28.6
= 7.2 liters
Quantity of gasoline need to buy to fill the tank completely
= Total capacity – Remaining gas in the tank
= 42 liters – 7.2 liters
= 34.8 liters
Hence Alberto need to buy 34.8 liters of gasoline to fill the tank.
Option B is the correct answer.
(2)
Shamika earns in first week = $25.75
Shamika earns in next week = $37.80
Total money Shamika have = First week earning + Second week earning
= $25.75 + $37.80
= $63.55
Don't add or subtract spending money, because the question is how much she have from these two weeks.
Hence Shamika have $63.55 from these two weeks.
