Answer:
x1 y1 x2 y2
(2 5) (-1 -4)
slope m = (y2-y1)/(x2-x1)
( -4 -5 )/( -1 -2 )
( -1/ -1 )
m= -1/-1
Step-by-step explanation:
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Answer:
5x+1
Step-by-step explanation:
2x+3
*4x-5
=8x-15
Now you find the area of the white region
3x+2
*2-8
=3x+16
Now you subtract
8x-15
-3x+16
=5x+1
Answer:
A = √29
Step-by-step explanation:
The short of it is that ...
A² = 2² + 5² = 29
A = √29
_____
<u>Amplitude</u>
If you expand the second form using the sum-of-angles formula, you get ...
Asin(ωt +φ) = Asin(ωt)cos(φ) +Acos(ωt)sin(φ)
Comparing this to the first form, you find ...
c₂ = 2 = Acos(φ)
c₁ = 5 = Asin(φ)
The Pythagorean identity can be invoked to simplify the sum of squares:
(Asin(φ))² + (Acos(φ))² = A²(sin(φ)² +cos(φ)²) = A²·1 = A²
In terms of c₁ and c₂, this is ...
(c₁)² +(c₂)² = A²
A = √((c₁)² +(c₂)²) . . . . . . . formula for amplitude
_____
<u>Phase Shift</u>
We know that tan(φ) = sin(φ)/cos(φ) = (Asin(φ))/(Acos(φ)) = 5/2, so ...
φ = arctan(c₁/c₂) . . . . . . . formula for phase shift*
φ = arctan(5/2) ≈ 1.19029 radians
___
* remember that c₁ is the coefficient of the cosine term, and c₂ is the coefficient of the sine term.
Answer:
-43w-32
Step-by-step explanation:
distribute 8 through the parentheses
5w-32-48w
collect like terms
5w-48w-32= -43w-32
