Answer:
x = π/2, 7π/6, or 11π/6
Step-by-step explanation:
sin² x − cos² x − sin x = 0
Use Pythagorean identity to write cosine in terms of sine.
sin² x − (1 − sin² x) − sin x = 0
sin² x − 1 + sin² x − sin x = 0
2 sin² x − sin x − 1 = 0
Factor:
(2 sin x + 1) (sin x − 1) = 0
Solve:
sin x = -1/2 or 1
x = π/2, 7π/6, or 11π/6
Answer:
4 years difference
Step-by-step explanation:
Answer:
Step-by-step explanation:
Ix-4I+3=3
subtracting 3 from both sides (*as per general practice in equations unknown are on one side and constants on the other side or simply taking 3 to other side of the equation)
Ix-4I+3-3=3-3
Ix-4I=0
x-4=0
x-4+4=0=4
x=4
checking:
I4-4I+3=3
I0I+3=3
3=3
Answer:
The Value of x = 23.1 unit
Step-by-step explanation:
Given:
Parallel line intersect
Find:
The value of "X"
Computation:
We know that given lines are parallels
So, by using Ratio theorem we can find the value of "x"
Ratio theorem of parallel lines say
AB / BC = AD / DE
So,
14 / 20 = x / 33
x = [14 x 33] / 20
The Value of x = 23.1 unit
Basically find the eqatuions of the lines that produce the shaded reigon
so find the lines first
we notice taht they must be inequalities
the upward line is dotted so it must have > or <
ok, hum the slope seems to be -3
the y intercept is 1 so the euaiton is y_-3x+1
the blank is the inequality
ok, test a point
(0,0) is in it
0_-3(0)+1
0_1
0<1
so it is y<-3x+1
secondn line
solid line so ≤ or ≥
slope of 2
y intercept of -1
y_2x-1
(0,0) is a possible solution
test it
0_2(0)-1
0_-1
0≥-1
so the equations are
y<-3x+1 and y≥2x-1
a. the system is y<-3x+1 and y≥2x-1
b. a solution is (0,0) because it is in the shades reigon which is the intersection of the 2 inequalities
