Answer:
λ =--9
x=3
y=3
Step-by-step explanation:
3x+λ=0
3y+λ=0
x+y-6=0
Taking sum of first two equations;
3x+3y+2λ=0
3(x+y)+2λ=0 ---(a)
multiply third equation by 3
3(x+y)-18=0 ----(b)
Subtracting eq a from eq b
==> 2λ+18=0
==> λ = -9
Putt this value of λ in 3x+λ=0
==> 3x-9=0
==> x=3
Again put value of λ in 3y+λ=0
==> 3y -9=0
==> y=3
Answer:
Option D= (2,3)
Step-by-step explanation:
2x + 3y = 13
Given that x=2. Then,
2(2) +3y = 13
4+3y = 13
3y = 13 -4 = 9
y = 3
A^2 + b^2 = c^2
a^2 + (12)^2 = (13)^2
a^2 + 144 = 169
a^2 = 169 - 144
a^2 = 25
Sqrt (a^2) = Sqrt(25)
a = 5
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The correct statement is that the range of the function is (8, [infinity])
<h3>How to find the intercept, domain and range of a function</h3>
Given the function as shown below:
g(x) = √(x + 4) + 8
The domain of the function is the point here x + 4 ≥ 0
Domain = x ≥ -4
In interval form, the domain of the function is [-4, 0)
The range of the function is the real values from 8 and above. Hence the range of the function is (8, [infinity])
Learn more on domain and range here: brainly.com/question/1942755
Same side interior angles are not always congruent
