Answer:
Step-by-step explanation:
Simplifying
5(2x + -6) + 20 = 10
Reorder the terms:
5(-6 + 2x) + 20 = 10
(-6 * 5 + 2x * 5) + 20 = 10
(-30 + 10x) + 20 = 10
Reorder the terms:
-30 + 20 + 10x = 10
Combine like terms: -30 + 20 = -10
-10 + 10x = 10
Solving
-10 + 10x = 10
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '10' to each side of the equation.
-10 + 10 + 10x = 10 + 10
Combine like terms: -10 + 10 = 0
0 + 10x = 10 + 10
10x = 10 + 10
Combine like terms: 10 + 10 = 20
10x = 20
Divide each side by '10'.
x = 2
Simplifying
x = 2
9) pi/3 = 180 /3 = 60⁰
the other angle = 90-60=30⁰
10) 2pi/9 = 360/9 = 40⁰
the other angle = 90+40=130⁰
11) arc length = 2pi * r * (θ/360)
= 2pi * 16 * (270/360)
= 75.4 km
12)arc length = 2pi * r * (θ/360)
3 * 180/4 = 135⁰
135/360 =0.375
2pi * 6 * 0.375 =14.13 in
13) arc length = 2pi * r * (θ/360)
= 9 *2pi *(255/360) =40.05 mi
14)arc length = 2pi * r * (θ/360)
=23.56 mi
Answer:
π/4
Step-by-step explanation:
x is the variable
-1 inverts the curve
π/4 is the phase shift or x axis offset
2 is the y axis offset
Sin(13π/8) , is in quadrant IV so the angle will be negative, find the reference angle.
<span>sin(13π/8) = -sin(16π/8 - 13π/8) = -sin(3π/8) = -cos(4π/8 - 3π/8) = - cos(π/8). </span>
<span>Use half angle formula for cos(x): </span>
<span>cos²(x/2) = (cos(x) + 1) / 2 </span>
<span>Let x = π/4 </span>
<span>cos²(π/8) = (cos(π/4) + 1) / 2 </span>
<span>cos²(π/8) = (√(2) / 2 + 1) / 2 </span>
<span>cos(π/8) = √(√(2) / 4 + 1/2) </span>
<span>-cos(π/8) = -√((√(2) + 2) / 4)</span>
Answer:
Step-by-step explanation:
(X+y+2)(y+1)
simplify
xy + x + y² + y + 2y 2
