Completing the square has us breaking rules of solving equations and factoring out the greatest common factor, but it is what it is! The first step is to make sure that the coefficient on the x^2 term is a 1 and it is so we are good there. Now subtract 9 from both sides to get x^2 + 16x = -9. Complete the square on the left side by taking half of the linear term (16x) which is 8 and then squaring it to get 64. That's what is added to both sides. Now it looks like this:
x^2 + 16x + 64 = -9 + 64. If you were to write it in vertex form it would look like this: (x+8)^2 - 55 = 0. Now you can use this to plot the vertex of a parabola if you want to: it sits at (-8, -55)
Answer:
a) 23x
b) 8n
c) -6y
d) -17w
Explanation:
When combining like terms, if there is an addition operator, add both coefficients and carry the variable over. If there is a subtraction operator, subtract both coefficients and carry the variable over. Remember, you can only combine like terms if the variable, and exponent are the same. The addition and subtraction symbols are examples of an operator used in arithmetic. For example, 9x + 14x could be like adding 9 objects and 14 objects together, you have 23 objects total because 9 + 14 = 23. When you add negative numbers, it is like subtracting. When you subtract negative numbers, it is like adding. Negative just means opposite.
a) 9x + 14x = (9+14)x = (23)x = 23x
b) -2n - 10n = (-2+10)n = (8)n = 8n
c) 8y - 14y = (8-14)y = (-6)y = -6y
d) -6w - 11w = (-6-11)w = (-17)w = -17w
Let me see what I come up with.
Answer:
-32
Step-by-step explanation:
(-19+3)-16
Calculate inside the parentheses first
(-16) -16
-32
I think its 4 out of 5?
(could be wrong)