Answer:
see explanation
Step-by-step explanation:
Using the exact values of the trigonometric ratios
sin60° = 
, cos60° = 
sin45° = cos45° = 
Using the sine ratio on the right triangle on the left
sin60° = 
= 
=
Cross- multiply
2a = 4
× = 12 ( divide both sides by 2 )
a = 6
Using the cosine ratio on the same right triangle
cos60° = 
= 
=
Cross- multiply
2c = 4 ( divide both sides by 2 )
c = 2
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Using the sine/cosine ratios on the right triangle on the right
sin45° = 
= 
=
Cross- multiply
b = 6
cos45° = 
= 
=
Cross- multiply
d = 6 ( divide both sides by )
d = 6
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a = 6, b = 6, c = 2, d = 6
The answer is A, (5 + 2x) * 8
The commutative property means that the order of addition or multiplication does not matter
<h3>Answer: Choice B. y = (x+3)^2 - 1</h3>
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How I got that answer:
The vertex is the lowest point of parabolas that open upward.
(h,k) = vertex
(h,k) = (-3,-1)
h = -3
k = -1
For each of the answer choices, a = 1.
The general template of a quadratic in vertex form is
y = a(x-h)^2 + k
Plug a = 1, h = -3, k = -1 into that equation. Simplify.
y = a(x-h)^2 + k
y = 1(x-(-3))^2 + (-1)
y = (x+3)^2 - 1
