Reflect over x-axis rule: (x,y) -> (x,-y)
(-5,3) --> (-5,-3)
(-2,-6) --> (-2,6)
(-4,-8) --> (-4,8)
Answer:
x = drama and y = yearbook
x = y + 10
1x + 1y = 64
There are 37 students in the drama club
There are 27 students in the yearbook club
Step-by-step explanation:
O and M are equal... N and L are equal. The whole shape adds up to 360 degrees.
3x-55=2x
x=55
So O= 110, M=110. That leaves the rest of the shape with 140. Divide by 2. N and L= 70... plug it in.
70=5y
y=14
So the answer is x=55 y=14
Answer:
i can, what grade are you in though?
Step-by-step explanation:
<span>
1. Find the exact value by using a half-angle identity. sin 22.5°
</span>
Using the half angle formula you get:
<span><span><span><span>sin2(</span>θ)=12<span>[1−<span>cos(2</span>θ)]</span></span>
</span>if </span><span><span>θ=22.5°</span> then </span><span><span><span>2θ=45°</span>
</span>so you get:
</span><span><span><span>sin2(22.5°)</span>=12<span>[1−<span>cos(45°)</span>]</span></span>
</span><span><span><span><span><span>sin2(22.5°)</span>=12[</span><span>1−<span>√2/2]</span><span>=<span><span>2−√2</span>4</span>
</span></span></span>and square root both sides:
</span><span><span><span><span><span>sin(22.5°)</span>=±</span><span>√<span><span>2−√2</span>4</span>=±0.382</span></span>
</span>so </span></span>
<span>
sin(22.5°)=0.382
the answer is the letter D) one half times the square root of quantity two minus square root of two
</span>
<span>2. Verify the identity.
cot x minus pi divided by two. </span>=
-tan x
Cot(x-pi/2)=-tan(x)
sin(A − B) = sin A cos B −
cos A sin B
sin(x – pi/2) = sin x cos (pi/2)
− cos x sin (pi/2)=-cosx
cos(A − B) = cos A cos B − sin
A sin B
cos(x− pi/2) = cos x cos pi/2
− sin x sin pi/2=-sinx
Cot(x-pi/2)=cos(x-pi/2)/sin(x-pi/2)
<span>=
(-sinx)/(-cosx)=-tanx--------------ok</span>
