Answer:
see explanation
Step-by-step explanation:
Given the 3 equations
3x + 5y + 5z = 1 → (1)
x - 2y = 5 → (2)
2x + 4y = 11 → (3)
Use (2) and (3) to solve for x and y
Multiply (2) by 2
2x - 4y = 10 → (4)
Add (3) and (4) term by term
4x = 21 ( divide both sides by 4 )
x = 
Substitute this value of x into (3)
2 × + 4y = 11
+ 4y = 11 ( subtract from both sides )
4y = 
( divide both sides by 4 )
y = 
Substitute the values of x and y into (1) and solve for z
3 × + 5 × + 5z = 1
+ 
+ 5z = 1
+ 5z = 1 ( subtract from both sides )
5z = - 
( divide both sides by 5 )
z = - 
Solution is
x = , y = , z = -
Answer:
y=-2x^2-4
Step-by-step explanation:
The parabola is wider than it's parent function, y = x^2. Therefore the coefficient, of x^2 (when you refer to quadratic equations it's a) should be greater than 1. Let's take 2.
y = 2x^2
Now it is reflected across the x-axis, so the equation turns to y = -2x^2. The vertex is shifted down 4. Note that it is shifted down, along the y-axis. This makes 'c' (again quadratic equations) -4.
Final Equation: y=-2x^2-4
<u>EXPLANATION</u><u>:</u>
Given that
sin θ = 1/2
We know that
sin 3θ = 3 sin θ - 4 sin³ θ
⇛sin 3θ = 3(1/2)-4(1/2)³
⇛sin 3θ = (3/2)-4(1/8)
⇛sin 3θ = (3/2)-(4/8)
⇛sin 3θ = (3/2)-(1/2)
⇛sin 3θ = (3-1)/2
⇛sin 3θ = 2/2
⇛sin 3θ = 1
and
cos 2θ = cos² θ - sin² θ
⇛cos 2θ = 1 - sin² θ - sin² θ
⇛cos 2θ = 1 - 2 sin² θ
Now,
cos 2θ = 1-2(1/2)²
⇛cos 2θ = 1-2(1/4)
⇛cos 2θ = 1-(2/4)
⇛cos 2θ = 1-(1/2)
⇛cos 2θ = (2-1)/2
⇛cos 2θ = 1/2
Now,
The value of sin 3θ /(1+cos 2θ
⇛1/{1+(1/2)}
⇛1/{(2+1)/2}
⇛1/(3/2)
⇛1×(2/3)
⇛(1×2)/3
⇛2/3
<u>Answer</u> : Hence, the req value of sin 3θ /(1+cos 2θ) is 2/3.
<u>also</u><u> read</u><u> similar</u><u> questions</u><u>:</u> If sin Θ = 2/3 and tan Θ < 0, what is the value of cos Θ?
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if cos θ -sin θ =1, find θ cos θ +sin θ?
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You add all of them together if it’s labeled with a X.
For example, the first X is 1 hour. If it has 2 Xs it would be 2 hours, if no X is shown above, it’s zero hours.
Answer is 12 hours.
The square root of a whole number will be rational if the whole number is a perfect square (i.e 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144 etc) and irrational otherwise.
Rational number is a number that can be described as m/n
so a fraction can be a rational number, 0.8=4/5
Irrational numbers can't be written as a fraction
The part about the number having to be a perfect square is still correct, if it's not a prefect square than it will just keep going(a decimal that never ends)
for example the square root of 0.64 is 0.8
and the square root of 10 is 3.162277...
as you can see the 0.64 one ends and is rational, whereas the 10 one just keeps going and is irrational.
