Answer:
( x-6)^2 -17
Step-by-step explanation:
X^2 - 12x + 19
we need it in given below form
(x + a)^2 + b
we know that

lets convert that in same form
X^2 - 12x + 19 = x^2 + 2(-6)x + 19
comparing x^2 + 2(-6)x to x^2 + 2ax
we have a -6
now
(x-6)^2 = x^2 + 2(-6)x + 36
36 is missing in the x^2 + 2(-6)x + 19 hence to get that
we add and subtract 36 in the above equation
so we have
x^2 + 2(-6)x + 19 + 36 -36
rearranging it \
(x^2 + 2(-6)x + 36) -36 + 19 (x^2 + 2(-6)x + 36 =( x-6)^2)
=>( x-6)^2 -17
comparing the above equation to
(x + a)^2 + b
we have a = -6
b = -17
( x-6)^2 -17
The distance between any two points is:
d^2=(x2-x1)^2+(y2-y1)^2 so in this case:
d^2=(7-4)^2+(-3-6)^2
d^2=3^2+9^2
d^2=90
d=√90
d=3√10 units
d≈9.49 units (to nearest hundredth of a unit)
I don't know I can't speak for the 6 billion other werid people on the planet.
Answer:
y=-4x+3
Step-by-step explanation:
as x=0
put in y= -4x+3
y= -4(0)+3
y=3
now put x=1 in y= -4x+3
y= -4(1)+3
y= -1
now put x=2 in y= -4x+3
y= -4(2)+3
y=-5
Answer:
_
113 -✓5
Step-by-step explanation:
_
113-(-(-✓5))
_
=113-✓5 (decimal:110.763932)