The first, x=1 and y=5
The second, x=1 and y=2
Answer:
f = 5g/n^3 - 5h/n63
Step-by-step explanation:
X^4-3x^3-28x^2+36x+144=(x-6)(x^3+3x^2-10x-24)
x-6 is a factor
Answer: Choice C
x = sqrt(12)
y = 18
=======================================
Triangle TRU is a 30-60-90 triangle
RU = 4 is the hypotenuse
UT = 2 is the short leg and half the hypotenuse
RT = long leg
RT = (short leg)*sqrt(3)
RT = 2*sqrt(3)
x = 2*sqrt(3)
x = sqrt(4)*sqrt(3)
x = sqrt(4*3)
x = sqrt(12)
-----------
Angle TRS is 30 degrees
y+12 = 30
y = 30-12
y = 18
The process is to go step-by-step to isolate the y.
To do this, you basically run the order of operations in reverse.
In 5x+2y=10, the first thing to move away from the left side is 5x and you cancel it out by subtracting 5x from both sides:
5x+2y - 5x = 10 - 5x
The 5x's on the left cancel leaving you with:
2y = 10 - 5x
Side note: this is more commonly written as 2y = -5x+10, since we tend to write variable terms first.
Finally, to get the y fully by itself, you need to cancel the 2 that's multplied against it. To cancel multiplication, you need to divide:
The most important thing to remember here is that the 2 needs to divide into both terms on the right:
Finally, we simplify this into: