Answer:
x = 
Step-by-step explanation:
Given
- 
= 
← factor denominator
- = 
[ x ≠ 0, x ≠ - 1 as these would make the terms undefined ]
Multiply through by x(x + 1)
4x² - 5(x + 1) = 4
4x² - 5x - 4 = 4 ( subtract 4 from both sides )
4x² - 5x - 9 = 0 ← in standard form
(x + 1)(4x - 9) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
4x - 9 = 0 ⇒ 4x = 9 ⇒ x =
However, x ≠ - 1 for reason given above, then
solution is x =
Answer:
Step-by-step explanation:
Triangle GEF is a right angle triangle.
From the given right angle triangle
GE represents the hypotenuse of the right angle triangle.
With ∠E as the reference angle,
FE represents the adjacent side of the right angle triangle.
FG represents the opposite side of the right angle triangle.
To determine tan E, we would apply the tangent trigonometric ratio
Tan θ = opposite side/adjacent side. Therefore,
Tan E = 56/33
Tan E = 1.69697
It becomes 1.70 to the nearest hundredth.
Answer:
3/4
Step-by-step explanation:
Find the number that can be divided into both numbers.
12÷4 =3 16÷4=3
Answer:
18.
Step-by-step explanation:
1) formula of the perimeter given in the condition is:
p=2(VW+XV) or p=2(VY+XY).
Note, VW=XY and XV=VY;
2) if to substitute p=84, VW=2z+2 and XV=3z into the formula above, then
2(2z+2+3z)=84, ⇔ 5z+2=42; ⇒ z=8.
3) if z=8, then VW=2z+2=2*8+2=18.
