Answer:
the y-intercept is 22 spaces higher.
Step-by-step explanation:
I don't know, what special operations you want to express with 3(5)x.
as it is written this simply means
3×5×x
no exponents or other special things are visible.
but it should not matter.
whatever is the first function is unchanged the first part of the second function.
so, the only difference is the "+ 22" part.
and that simply means that all y values (the functional result values) are increased by 22.
you know that "f(x) =" has the same meaning as "y =".
and with that also the y-intercept (the y value when x = 0, and therefore the point, where the curve intersects the y-axis) is increased by 22 spaces.
Answer:
17w + 8
Step-by-step explanation:
You would add 6w + 11w because they are like expressions. They you would add 4+4 because they are also like expressions.
What you do is get into the form
(x-h)^2+(y-k)^2=r^2
(h,k) is center
r=radis
complete the square with x and y
x^2+y^2-2x+4y-11=0
group x and y terms together
(x^2-2x)+(y^2+4y)-11=0
take 1/2 of linear coefieicnt and add postive and negative
for x^2-2x, -2/2=-1, (-1)^2=1
for y^2+4y, 4/2=2, 2^2=4
(x^2-2x+1-1)+(y^2+4y+4-4)-11=0
complete the square
(x-1)^2-1+(y+2)^2-4-11=0
add like terms
(x-1)^2+(y+2)^2-16=0
add 16 both side
(x-1)^2+(y+2)^2=16
(x-(1))^2+(y-(-2))^2=4^2
(x-h)^2+(y-k)^2=r^2
(h,k)
(1,-2)
r=4
center is (1,-2)
radius is 4 units
