Answer:
Step-by-step explanation:
The triangle is a right angle triangle. This is because one of its angles is 90 degrees.
Let us determine x
Taking 47 degrees as the reference angle,
x = adjacent side
11 = hypotenuse
Applying trigonometric ratio,
Cos # = adjacent side / hypotenuse
# = 47 degrees
Cos 47 = x/11
x = 11cos47
x = 11 × 0.6820
x = 7.502
Let us determine y
Taking 47 degrees as the reference angle,
y = opposite side
11 = hypotenuse
Applying trigonometric ratio,
Sin # = opposite side / hypotenuse
# = 47 degrees
Sin 47 = y/11
x = 11Sin47
x = 11 × 0.7314
x = 8.0454
Answer: Solution: (12, 3)
Step-by-step explanation:
2x - 4y = 12
3x + 4y = 48
Add both equations
5x = 60
Divide both sides by 5
x = 12
We can use the value of x to find y
3x + 4y = 48
3 (12) + 4y = 48
36 + 4y = 48
Subtract 36 from both sides
4y = 12
Divide both sides by 4
y = 3
Solution: (12, 3)
Answer:
y=9-7x
If x= -1, y=16
If x= 0, y=9
If x=2, y= -5
Step-by-step explanation:
Because you are solving the equation for y, you want to have y by itself on one side. The only way to do that in this problem is by subtracting the 7x on both sides.
y+7x=9
-7x -7x ---> y=9-7x
The next part of the question says to find the value of Y for each value of X. Using the given X values, we plug them into the equation we just got in order to find Y.
y=9-7(-1) ----> y=16
y=9-7(0) ----> y=9
y=9-7(2) ----> y=-5
Answer:
7.5
Step-by-step explanation:
