(3 cos x-4 sin x)+(3sin x+4 cos x)=5
(3cos x+4cos x)+(-4sin x+3 sin x)=5
7 cos x-sin x=5
7cos x=5+sin x
(7 cos x)²=(5+sinx)²
49 cos²x=25+10 sinx+sin²x
49(1-sin²x)=25+10 sinx+sin²x
49-49sin²x=25+10sinx+sin²x
50 sin² x+10sinx-24=0
Sin x=[-10⁺₋√(100+4800)]/100=(-10⁺₋70)/100
We have two possible solutions:
sinx =(-10-70)/100=-0.8
x=sin⁻¹ (-0.8)=-53.13º (360º-53.13º=306.87)
sinx=(-10+70)/100=0.6
x=sin⁻¹ 0.6=36.87º
The solutions when 0≤x≤360º are: 36.87º and 306.87º.
no it's 22 :D...............
The total bill amount before the service fee is given as $45.
We are given that the tip she wants to leave is 15% of the bill amount, this means that:
tip value = 0.15 * 45 = 6.75$
The total bill would be the summation of the original bill and the tip value she left.
Total bill amount = 45 + 6.75 = 51.75$
<span>Because the town was built above sheer cliffs that were heavily defended by artillery.</span>
Answer:
y = - 2x + 8
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 
x - 9 ← is in slope- intercept form
with m =
given a line with slope m then the slope of a line perpendicular to it is
= - 
= - 
= - 2
y = - 2x + c ← is the partial equation
to find c substitute (3, 2 ) into the partial equation
2 = - 6 + c ⇒ c = 2 + 6 = 8
y = - 2x + 8 ← equation of perpendicular line
