Answer:
x
∈
R
,
y
∈
[
−
2
,
∞
) mark brainliest please
Step-by-step explanation:
y is defined for all real values of x
domain is
x
∈
R
(
−
∞
,
∞
)
←
in interval notation
the quadratic in the form
y
=
x
2
+
c
has a minimum turning point at
(
0
,
c
)
y
=
x
2
−
2
is in this form with
c
=
−
2
range is
y
∈
[
−
2
,
∞
)
graph{x^2-2 [-10, 10, -5, 5]}
This is a trapezoid cause has 2 lines paralel and 2 lines are not paralel.
Answer:
Step-by-step explanation:
You have to use the discriminant for this. If the quadratic is 
, then
a = -4, b = -3, and c = 7. The formula for finding the discriminant is
which comes from the quadratic formula, but without the square root sign. Filling in:
which simplifies down to
D = 9 + 112 so
D = 121. This is a perfect square, so the solutions will be 2 real. Just so you know, you will NEVER have a solution like the one offered in the third choice down. If you have one imaginary root, you will ALWAYS have a second by the conjugate rule.
Answer:
65.8 ft
Step-by-step explanation:
The number of strings required to tie each vertex to the other three will be ...
(4)(3)/2 = 6
Those strings will be perimeter strings plus two diagonal strings. The lengths of the perimeter strings are given as 12 ft and 7 ft. The lengths of the diagonal strings can be found using the Pythagorean theorem.
d² = 12² +7² = 144 +49 = 193
d = √193 ≈ 13.892
Then the total length of all strings is ...
L = 2(12.0 +7.0 +13.9) = 65.8 . . . . feet
The artist will need 65.8 feet of string.
