Answer:
f= 171/11
Step-by-step explanation:
Multiply both sides by 99
19/11*9=f
Simplify 19/11*9 to 171/11
Switch sides
F= 171/11
The answer is 4*\sqrt(2), or 5.7 if rounded to the nearest tenth digit. Notice that this is a right triangle (F is the right angle). The length of FG and FE are both 4 units on the diagram. Therefore, according to the Pythagorean theorem, the length of EG is \sqrt(4^2+4^2)=4*\sqrt(2), which is about 5.7.
Let's solve the equation 2k^2 = 9 + 3k
First, subtract each side by (9+3k) to get 0 on the right side of the equation
2k^2 = 9 + 3k
2k^2 - (9+3k) = 9+3k - (9+3k)
2k^2 - 9 - 3k = 9 + 3k - 9 - 3k
2k^2 - 3k - 9 = 0
As you see, we got a quadratic equation of general form ax^2 + bx + c, in which a = 2, b= -3, and c = -9.
Δ = b^2 - 4ac
Δ = (-3)^2 - 4 (2)(-9)
Δ<u /> = 9 + 72
Δ<u /> = 81
Δ<u />>0 so the equation got 2 real solutions:
k = (-b + √Δ)/2a = (-(-3) + √<u />81) / 2*2 = (3+9)/4 = 12/4 = 3
AND
k = (-b -√Δ)/2a = (-(-3) - √<u />81)/2*2 = (3-9)/4 = -6/4 = -3/2
So the solutions to 2k^2 = 9+3k are k=3 and k=-3/2
A rational number is either an integer number, or a decimal number that got a definitive number of digits after the decimal point.
3 is an integer number, so it's rational.
-3/2 = -1.5, and -1.5 got a definitive number of digit after the decimal point, so it's rational.
So 2k^2 = 9 + 3k have two rational solutions (Option B).
Hope this Helps! :)
Answer:
y=8/(P+q+4)
Step-by-step explanation:
we can find out that three items have y
so we can get them together Py+qy+4y=8
next(P+q+4)y=8 so y=8/(p+q+4)
