The restriction of the expression as given in the task content is; x +y = 0.
<h3>What is the restriction of the expression?</h3>
The expression in the task content is rational;
(1-x-y)/(x+y).
On this note, the restriction to the expression is the values which render the denominator of the expression equal to 0 and consequently the expression value to undefined.
Hence, the restriction is; x+y = 0.
Read more on undefined rational function;
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LY = 5.2 , TY = 3.9
Δ LTN is a right triangle , ∠T = 90° , TY⊥LN
∴ TY² = LY * YN
∴ 3.9² = 5.2 * YN
∴ YN = 3.9²/5.2 = 2.925
∴ LN = LY + YN = 5.2 + 2.925 = 8.125
Δ LYT is a right triangle , ∠Y = 90°
LT² = LY² + YT² = 5.2² + 3.9² = 42.25
∴ LT = √42.25 = 6.5
Δ NYT is a right triangle , ∠Y = 90°
NT² = NY² + YT² = 2.925² + 3.9² = 23.765
∴ NT = √23.765 = 4.875
The preimeter of the rectangle LINT = 2 * (LT + TN)
= 2 * ( 6.5 + 4.875 )
= 2 * 11.375
= 22.75
Answer:
D
Step-by-step explanation:
Given
x² + 6x - 9 = 0 (add 9 to both sides )
x² + 6x = 9
Using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(3)x + 9 = 9 + 9
(x + 3)² = 18 ( take the square root of both sides )
x + 3 = ±
= ±
= ± 3
Subtract 3 from both sides
x = - 3 ± 3
→ D
Set the two equations equal to each other and solve for X
Answer:
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