To complete the square you halve the coefficient of the x term and square it. Half of 14 is 7 and 7² is 49. So we add 49 and subtract 49, which means we are not changing the value of the quadratic. So we have x²+14x+49-49+2. This can be written: (x²+14x+49)-49+2, which is (x+7)²-47, which is answer a.
Answer:
x = 9
Step-by-step explanation:
Sum of a triangle is 180°.
6x + 1 + 6x - 14 + 9x + 4 = 180°
Arrange the like terms together and simply this equation.
6x + 6x + 9x + 1 + 4 - 14 = 180°
21x - 9 = 180°
Shifting '-9' to the other side of the equation gives you '+9'
21x = 180° + 9
21x = 189
Shifting 21 to the other side of the equation (to get x) makes it ÷21 (multiply)
x = 189 ÷ 21
x = 9
Answer:
x > -8
Step-by-step explanation:
Divide both sides by -3 to get x by itself. Dividing by a negative number will switch the less-than symbol to a greater-than symbol. -3x ÷ -3 = x and 24 ÷ -3 = -8. When you put it all together, you get x > -8
P1 = 10 m²
P2 = 22 m²
P3 = ?
According to Pythagoras' theorem:
P1 + P2 = P3
P3 = 10 m² + 22 m² = 32 m²
