The solution of system of equations is: x = 1.6 and y = 1.2
Step-by-step explanation:
Given equations are:
Putting 
in equation 2
Putting x = 1.6 in equation 2
Dividing both sides by -3
Hence,
The solution of system of equations is: x = 1.6 and y = 1.2
Keywords: Linear equations, variables
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Answer:
<em>4√5</em>
Step-by-step explanation:
The length of the radius of the circle will be the distance between the two coordinates. Using the formula:
D = √(x₂-x₁)²+(y₂-y₁)²
Given the coordinates (-4‚-2) and (-8‚-10)
R = √(-8-(-4))²+(-10-(-2))²
R = √(-4)²+(-8)²
R = √16+64
R = √80
R = √16*5
R = 4√5
<em>Hence the length of the radius of this circle is 4√5</em>
The annual number of cases can be modeled using a quadratic equation y = 14x2 – 9x + 1. the variable x represents the number of years after 2008. the variable y represents the number of pertussis cases in year x. according to the equation, in what year can the county be expected to have 2,619 cases of pertussis?
A ) cos² x · 1 / sin x - 1 / sin x = - sin x
cos² x - 1 / sin x = - sin x
- sin² x / sin x = - sin x
- sin x = - sin x ( correct )
B ) sin x ( cos x / sin x + sin x / cos x ) = 1 / cos x
sin x · ( cos² x + sin²x ) / sin x cos x = 1 / cos x
sin x · 1 / sin x cos x = 1 / cos x
1 / cos x = 1 / cos x ( correct )
C ) cos² x - sin² x = 1 - 2 sin² x
1 - sin² x - sin² x = 1 - 2 sin² x
1 - 2 sin² x = 1 - 2 sin² x ( correct )
D ) 1/sin²x + 1/ cos²x = 1
cos²x + sin² x / sin² x cos² x = 1
1 / cos² x sin² x = 1
cos²x sin² x ≠ 1
Answer: D ) is not an identity.
