Step-by-step explanation:
ax^2+bx+c=0
a=leading term
ok so if the leading term is positive then opens up and has a <u>min</u>
if leading term is negative then opens down and has a <u>max</u>
leading term is positive
1x^2+8x
it has a min
to complete the square, move c aside take 1/2 of b and square it
b=8
8/2=4
4^2=16
now add that to both sides
x^2+8x+16+6=0+16
factor perfect square
(x+4)^2+6=16
subtract 6
(x+4)^2=10
subtract 10
(x+4)^2-10=0
vertex aka min or max is (h,k) when ou have
y=a(x-h)+k
h=-4
k=-10
Answer:
A. 
Step-by-step explanation:
1. The standard form of the equation of a circle is 
2. To find the center we require the midpoint of the 2 given points
center =![[\frac{1}{2}(-4-6),\frac{1}{2}(11+5)]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B1%7D%7B2%7D%28-4-6%29%2C%5Cfrac%7B1%7D%7B2%7D%2811%2B5%29%5D)
=(-5,8)
3. The radius is the distance from the centre to either of the 2 given points calculate the radius using the distance formula
d= 
let 
and 
r=
--> 
-->
Answer:
true
Step-by-step explanation:
Let's say you have -7 dollars in your bank account, and then you go and spend 5 more, which is -5, now you have -12 bucks in your account
Answer:
330 television set
Step-by-step explanation:
Last month production = 880 television sets
This month production = 1,210 television sets
The increase in production from last month to this month = This month production - Last month production
= 1,210 - 880
= 330
The increase in production from last month to this month = 330 television set
Answer:
y = 1/2x
Step-by-step explanation:
x - 2y = -4
x = -4 + 2y
x + 4 = 2y
2y = x + 4
y = 1/2x + 2
y = 1/2x
