Answer:
see explanation
Explanation:
the graph of g(x) is the graph of f(x) shifted vertically by
+ 6 units
or equivalent to a translation
(
0
6
)
in general
g
(
x
)
=
x
2
±
a
for
a
>
0
shift is
(
0
a
)
↑
⏐
⏐
⏐
⏐
for
a
<
0
shift is
(
0
−
a
)
⏐
⏐
⏐
⏐
↓
graph{(y-x^2)(y-x^2-6)=0 [-20, 20, -10, 10]}
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
if you subtract 54 from 180 you would get 126
Given:
The piecewise function is

To find:
The range of given piecewise function.
Solution:
Range is the set of output values.
Both functions
and
as linear functions.
Starting value of
is at x=-4 and end value is at x=3.
Starting value: 
End value: 
Starting value of
is at x=3 and end value is at x=6.
Starting value: 
End value: 
Least range value is 0 at x=-4 and 0 is included in the range because -4 is included in the domain.
Largest range value is 11 at x=6 and 11 is not included in the range because 6 is not included in the domain.
So, the range of the given piecewise function is [0,11).
Therefore, the correct option is A.
He will need 17 inches of ribbon.
The diagonal splits the square into two right triangles. We can then use the Pythagorean theorem to find the length of the diagonal (the hypotenuse of the triangle):
12² + 12² = x²
144 + 144 = x²
288 = x²
Take the square root of both sides:
√288 = √x²
16.97 = x
17≈x
The perimeter of the triangle is: 4x+9
Step-by-step explanation:
Perimeter is the measurement of boundary of any closed figure.
Given
s1 = x+4
s2 = x+8
s3 = 2x-3
So, the perimeter will be the sum of all three sides

Hence,
The perimeter of the triangle is: 4x+9
Keywords: Perimeter, triangle
Learn more about perimeter at:
#LearnwithBrainly