Answer:
In the explanation
Step-by-step explanation:
Going to start with the sum identities
sin(x+y)=sin(x)cos(y)+sin(y)cos(x)
cos(x+y)=cos(x)cos(y)-sin(x)sin(y)
sin(x)cos(x+y)=sin(x)cos(x)cos(y)-sin(x)sin(x)sin(y)
cos(x)sin(x+y)=cos(x)sin(x)cos(y)+cos(x)sin(y)cos(x)
Now we are going to take the line there and subtract the line before it from it.
I do also notice that column 1 have cos(y)cos(x)sin(x) in common while column 2 has sin(y) in common.
cos(x)sin(x+y)-sin(x)cos(x+y)
=0+sin(y)[cos^2(x)+sin^2(x)]
=sin(y)(1)
=sin(y)
Answer:
12000(1+.04)^x
Step-by-step explanation:
12000(1+.04)^x
Answer:
b
Step-by-step explanation:
In general
Given
y = f(x) then y = f(Cx) is a horizontal stretch/ compression in the x- direction
• If C > 1 then compression
• If 0 < C < 1 then stretch
Consider corresponding points on the 2 graphs
(2, 2 ) → (4, 2 )
(4, - 2 ) → (8, - 2 )
Indicating a stretch in the x- direction.
y = f(
) with C = 
, that is 0 < C < 1
stretches the graph in the x- direction by a factor of 2
Thus
y = f( ) → b
Area of the shaded region to be covered with grass is 204 yd²
Step-by-step explanation:
- Step 1: Area of the shaded region can be found by finding the total area and subtracting the area of the lap pool.
Total area = Area of the trapezium = 1/2 × (Sum of parallel sides) × distance between them
Sum of parallel sides = 25 yd + (3 + 12) = 40 yd
Distance between them = 12 yd
⇒ Total area = 1/2 × 40 × 12 = 240 yd²
- Step 2: Find the area of the lap pool.
Area = length × width = 12 × 3 = 36 yd²
- Step 3: Find the area of the shaded region
Area to be covered with grass = 240 - 36 = 204 yd²
<span><span><span>2x </span>+ 7 </span>= <span><span>x + x </span>+ 7 is an example of an equation with an infinite number of solutions, meaning any number could be the answer.
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