Answer:
x + 5= 0
x + 8 = 0
Step-by-step explanation:
if the line is parallel to y axis than its abscissa is equal to any point
x = -5
x +5 =0
and other equation will be
x=-8
x+8=0
<u>-2x + 1 = 9</u>
Add 2x to each side of the equation:
1 = 2x + 9
Subtract 9 from each side:
-8 = 2x
Divide each side by 2 :
<u>-4 = x</u>
Answer:
Diagonal measurement of a tv screen = 42 inches.
Base = 38 inches
To find:
The height of the tv.
Solution:
Let h be the length of the tv.
According to the Pythagoras theorem,
Taking square root on both sides.
Therefore, the height of the tv is inches.
Step-by-step explanation:
<span>We want to optimize f(x,y,z)=x^2 y^2 z^2, subject to g(x,y,z) = x^2 + y^2 + z^2 = 289.
Then, ∇f = λ∇g ==> <2xy^2 z^2, 2x^2 yz^2, 2x^2 y^2 z> = λ<2x, 2y, 2z>.
Equating like entries:
xy^2 z^2 = λx
x^2 yz^2 = λy
x^2 y^2 z = λz.
Hence, x^2 y^2 z^2 = λx^2 = λy^2 = λz^2.
(i) If λ = 0, then at least one of x, y, z is 0, and thus f(x,y,z) = 0 <---Minimum
(Note that there are infinitely many such points.)
(f being a perfect square implies that this has to be the minimum.)
(ii) Otherwise, we have x^2 = y^2 = z^2.
Substituting this into g yields 3x^2 = 289 ==> x = ±17/√3.
This yields eight critical points (all signage possibilities)
(x, y, z) = (±17/√3, ±17/√3, ±17/√3), and
f(±17/√3, ±17/√3, ±17/√3) = (289/3)^3 <----Maximum
I hope this helps! </span><span>
</span>
Answer:
The expected payoff for Ann is that she loses the game
Step-by-step explanation:
The expected payoff for Ann is that she loses the game, this is because only 5 out of the 20 sections allow Ann to win money, this is only 25% of the spinner. Meaning that 75% of the spinner will cause Ann to lose the game. Rolling two times increases the odds that she will lose the game. Since the greatest probability is that Ann will land on a section that causes her to lose the game, then this is the expected payoff.
