Answer:
( -
,
)
Step-by-step explanation:
Given the 2 equations
9x + 8y = 3 → (1)
6x - 12y = - 11 → (2)
To eliminate the y- term multiply (1) by 1.5
13.5x + 12y = 4.5 → (3)
Add (2) and (3) term by term
(6x + 13.5x) + (- 12y + 12y) = (- 11 + 4.5)
19.5x = - 6.5 ( divide both sides by 19.5 )
x =
= - 
Substitute this value into either of the 2 equations and solve for y
Using (1), then
- 3 + 8y = 3 ( add 3 to both sides )
8y = 6 ( divide both sides by 8 )
y =
= 
Solution is (-
,
)
To check if a relation is a function, given a mapping diagram of the relation, use the following criterion: If each input has only one line connected to it, then the outputs are a function of the inputs.
You need to know the properties of each function.
Tan is opposite (y) over adjacent (x). Sin>0 means that sin is positive, therefore, it is located on either quadrant 1 or 2. Tan=4/3 so it is located in quadrant 1.
The side of the triangle must be Adjacent=3 opposite=4 and hypotenuse=5
Now, you are asked to find the half angle of Cos which is

By following the formula, cos=3/5 then:

Multiply everything (inside the square

root) by 5


Then just simplify

The answer is Square root of 20 over 5
9514 1404 393
Answer:
D. 2/5
Step-by-step explanation:
The slope is the x-coefficient when the equation is solved for y.
2x -5y = 9 . . . . . . . given
-5y = -2x +9 . . . . . .subtract 2x
y = (-2/-5)x +9/(-5) . . . . divide by -5
y = 2/5x -9/5
The coefficient of x is 2/5. That is the slope of the line.
The slope is 2/5.
That would be A, its the only on where all the dots line with the numbers given