Answer:
x = -1/2
Step-by-step explanation:
This question can be solved by applying the laws of indices
In a^n, a - base
n - index
Given
9^x = 1/3
According to the laws of indices, a/b = b^(-a)
Hence we can write, 1/3 = 3^(-1)
9^x = 3^(2x)
Again according to the laws of indices,
a^b = a^n can be written as;
b = n
That is, if in an equation the bases are the same, the indices are also equal.
So we can write,
3^(2x) = 3^(-1)
2x = -1
Divide both sides of the equation by 2, the coefficient of x
2x/2 = -1/2
x = -1/2
Answer:
Step-by-step explanation:
tan Θ + tan 2Θ + √3 tan Θ tan 2Θ = √3
tan Θ + tan 2Θ = √3 - √3 tan Θ tan 2Θ
tan Θ + tan 2Θ = √3 ( 1 - tan Θ tan 2Θ)
(tan Θ + tan 2Θ) / (1 - tanΘ tan 2Θ) = √3
tan(Θ + 2Θ) = √3
tan 3Θ = tan (
) we know tan Θ = tan α; Θ = nΠ + α, n belongs to z
3Θ = nΠ + Π/3
Θ = nπ/3 + Π/9 for all n in Z
<u><em>Answer:</em></u>
Open
<u><em>Explanation:</em></u>
An open equation is an equation that has variables and CAN be solved
<u>Example</u>: 2x = 4 ......> can be solved giving ......> x = 2
A false equation is one where both sides can NEVER be equal
<u>Example:</u> 15 = 2(3) + 1 ..........> 15 can never be equal to 7
A true equation is one having no variables and both sides are ALWAYS equal
<u>Example:</u> 2(3) + 1 = 2(2) + 3 ........> 7 will always be equal to 7
Now, the given equation is:
4y + 8 = 6y + 3
Let's try to solve is:
4y + 8 = 6y + 3
6y - 4y = 8 - 3
2y = 5
y = 2.5
Therefore, the given equation contains a variable and can be solved which means that it is an open equation
Hope this helps :)
