Answer:
y<=-x+3 and y<=2x+1
Step-by-step explanation:
y=-x+3 is the orange line. The shaded region is below so its y<-x+3
y=2x+1 is the blue line. The shaded region is below so y<2x+1
Answer: see proof below
<u>Step-by-step explanation:</u>
Use the Double Angle Identity: sin 2Ф = 2sinФ · cosФ
Use the Sum/Difference Identities:
sin(α + β) = sinα · cosβ + cosα · sinβ
cos(α - β) = cosα · cosβ + sinα · sinβ
Use the Unit circle to evaluate: sin45 = cos45 = √2/2
Use the Double Angle Identities: sin2Ф = 2sinФ · cosФ
Use the Pythagorean Identity: cos²Ф + sin²Ф = 1
<u />
<u>Proof LHS → RHS</u>
LHS: 2sin(45 + 2A) · cos(45 - 2A)
Sum/Difference: 2 (sin45·cos2A + cos45·sin2A) (cos45·cos2A + sin45·sin2A)
Unit Circle: 2[(√2/2)cos2A + (√2/2)sin2A][(√2/2)cos2A +(√2/2)·sin2A)]
Expand: 2[(1/2)cos²2A + cos2A·sin2A + (1/2)sin²2A]
Distribute: cos²2A + 2cos2A·sin2A + sin²2A
Pythagorean Identity: 1 + 2cos2A·sin2A
Double Angle: 1 + sin4A
LHS = RHS: 1 + sin4A = 1 + sin4A 
Answer:
Hi there!
The correct answer is 10 units²
Step-by-step explanation:
The area of a triangle is A= 1/2 Base * Height
then you need to replace the values that you given into the formula
A = 1/2 (4)(5)
Answer: Our required equation will be

Step-by-step explanation:
Since we have given that
Jack and Jill walked 4 yards every three seconds
As we know that

Now, we need to find the find the equation to represent the distance,<em>d</em>,
Jack and Jill walked over time <em>t </em>.
So here it is,

Hence, our required equation will be

Answer: Because 7 8 9
Step-by-step explanation: