1. According to the plots, the curves intersect when
and
.
We can confirm this algebraically.





(where
is an integer)


We get the two solutions we found in the interval [0°, 360°] with
in the first case, and
in the second case.
2. We have
when
. For the given plot domain [0°, 360°], this happens when
.
3. The domain for both equations is all real numbers in general, but considering the given plot, you could argue the domains would be [0°, 360°].
is bounded between -1 and 1, so
is bounded between -1 + 2 = 1 and 1 + 2 = 3, and its range is [1, 3].
Likewise,
is bounded between -1 and 1, so that
is bounded between -1 + 3 = 2 and 1 + 3 = 4, so its range would be [2, 4].
Answer:
x ≈ 6.8
Step-by-step explanation:
since all angles in a triangle add up to 180º:
8x-4+17x-23+3x+17=180
28x-10=180
28x=190
x ≈ 6.8
Answer:
x=2,BA=DA which is7
Step-by-step explanation:
5x-3=3x+1
both sides share an angle and B=D right angles
5x-3x=1+3
2x=4
x=4÷2
x=2
BA=5x-3
BA=5(2)-3
BA=10-3
BA=7
DA=3x+1
DA=3(2)+1
DA=6+1
DA=7
Answer:
48
Step-by-step explanation:
Reverse solve for a perfect Square
(b/2a)^2=36
(b/2(4))^2=36
(b/8)^2=36
b/8=6
b=48
48 makes the trinomial a perfect square trinomial.