Answer:
Step-by-step explanation:
1. (-4, -2) (4, 0)
(0 + 2)/(4 + 4)= 2/8= 1/4
2. (-1, 2) (1, -3) = (-3 - 2)/(1 + 1) = -5/2
3. (-2, 3) (0, 0) = (0 - 3)/(0 + 2) = -3/2
4. (1, 1) (3,2) = (2 - 1)/(3 - 1)= 1/2
9514 1404 393
Answer:
x = 10·cos(θ) -4·cot(θ)
Step-by-step explanation:
Apparently, we are to assume that the horizontal lines are parallel to each other.
The relevant trig relations are ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
If the junction point in the middle of AB is labeled X, then we have ...
sin(θ) = 4/BX ⇒ BX = 4/sin(θ)
cos(θ) = x/XA ⇒ XA = x/cos(θ)
Then ...
BX +XA = AB = 10
Substituting for BX and XA using the above relations, we get
4/sin(θ) +x/cos(θ) = 10
Solving for x gives ...
x = (10 -4/sin(θ))·cos(θ)
x = 10·cos(θ) -4·cot(θ) . . . . . simplify
_____
We used the identity ...
cot(θ) = cos(θ)/sin(θ)
Answer:
Each kid can have 2 pieces
Step-by-step explanation:
8 / 3 = 2.67
Answer:
PEMDAS!!! (Parentheses, exponents, multiplication, division, addition, subtraction)
Step-by-step explanation:
Parentheses first!
50-35=15
Then subtraction!
80-15=65
Hope this helped!!! :)
