To complete a square for ax²+bx+c, you first make a=1.
in this case, a is already 1
move c to the right side: x²+14x=-47
next, add (1/2 of b)² to both sides, in this case, b=14, half of 14 is 7, so x²+14x+ 7²=-47+7²
the left side is now a perfect square: (x+7)²=2
x+7=√2 or x+7=-√2
x=√2-7, or x=-2-√7
Answer:
48 people are right handed. 12 are left handed
Step-by-step explanation:
80% of 60 is 48.
Answer:
option 2
Step-by-step explanation:
The problem can be solved using Pythagoras' identity for a right triangle.
The angle between due East and due North is 90°
The solution here involves using the Cosine rule.
let x be the direct distance between house and office, then
x² = 17² + 21² - 2(17)(21)cos90° → option 2
Note that since cos90° = 0 the equation reduces to
x² = 17² + 21² ← Pythagoras' identity
Basically you just have to plug in g(x) wherever you see an x in the equation f(x) since x is f(x) you just substitute it . So f(g(x))=2x+3
You then just have to solve for 0
0=2x+3
Subtract 3 from both sides
-3=2x
Divide by 2
X=-3/2
Answer:
-16, 16, 16
Step-by-step explanation:
1) -16
2) 16
3) 16
