Answer:
Step-by-step explanation:
First, open the parentheses!
6x^2 + 2x + 9x + 3 = 11x + 30
6x^2 + 11x + 3 = 11x + 30
Now solve this equation:
6x^2 + 3 = 30
x^2 = 2
x = √2
Sorry...I'm not sure if this is correct but hope it helps!
Answer:
Step-by-step explanation:
x² + 10x + 25
a² +2ab + b² = (a + b)²
b² = 25
b = √25
b = 5
2ab = 2*x*5 = 10x
For this case we have to define trigonometric relations of rectangular triangles that:
- The cosine of an angle is given by the leg adjacent to the angle on the hypotenuse of the triangle.
- The sine of an angle is given by the leg opposite the angle on the hypotenuse of the triangle.
Then, according to the figure we have:
Answer:
Option D
Answer:
B
Step-by-step explanation:
Since ∠ E = ∠ F then the triangle is isosceles and DF = DE, that is
6x = x + 2y ( subtract x from both sides )
5x = 2y ( subtract 2y from both sides )
5x - 2y = 0 → (1)
and perimeter = 29, that is
6x x + 2y + 5x - y = 29 , simplifying
12x + y = 29 → (2)
Multiply (2) by 2
24x + 2y = 58 → (3)
Add (1) and (3) term by term to eliminate y, that is
29x = 58 ( divide both sides by 29 )
x = 2
Substitute x = 2 into (2) and evaluate for y
12(2) + y = 29
24 + y = 29 ( subtract 24 from both sides )
y = 5
Thus
FE = 5x - y = 5(2) - 5 = 10 - 5 = 5 → B