Answer: A) none of the equations are identities
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Part 1
Plug in theta = 0
sin(theta+pi/2) - cos(theta+pi/6) = 2*cos(theta) - sin(theta)
sin(0+pi/2) - cos(0+pi/6) = 2*cos(0) - sin(0)
1 - sqrt(3)/2 = 2*1 - 0
0.13 = 2
which is a false equation
So we do not have an identity in equation 1.
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Part 2
Plug in theta = 0
sin(theta+pi/6) + cos(theta+pi/3) = (sqrt(2)/3)*sin(theta) + 2*cos(theta)
sin(0+pi/6) + cos(0+pi/3) = (sqrt(2)/3)*sin(0) + 2*cos(0)
1/2 + 1/2 = 0 + 2
1 = 2
which is also false
This is not an identity either.
Answer:
negative
Step-by-step explanation:
if they have the same signs then they are positive if they have different signs then they will be negative
<span> i belive that it is B. y=110x+15</span>
Answer:
Daylilies cost $11 and shrubs cost $11
Step-by-step explanation:
Let's call the cost of daylilies as x and the cost of shrubs as y. We can write:
9x + 4y = 143 -- Equation 1
14x + 4y = 198 -- Equation 2
5x = 55 -- Subtract Equation 1 from Equation 2
x = 11 -- Divide by 5
9 * 11 + 4y = 143 -- Substitute x = 11 into Equation 1
4y = 44 -- Subtract 99
y = 11 -- Divide by 4
The scale factor is 4 (10/2.5).
Each side has increased by a factor of 4. Think of it logically, if the original rectangle had sides of 1,1,1/4,1/4, the perimeter would add to 2.5. In order to get the sides to add up to 10, each of the sides would need to be multiplied by 4. Then our sides would measure 4,4,1,1 with a perimeter of 10.
