The perfect squares on either side of 21 are 16 and 25 of which the roots are:
4 and 5
We need to find Ο for : sin(Ο)= cos(6)
We know that:
cos θ =sin (90 - θ), so if we call θ = 6 then O will be:
O = 90 - θ
O = 90 - 6
<h2>
O = 84</h2>
Answer:
y=(2/3)x-1
Step-by-step explanation:
The slope is (1-(-1))/(3-0) = 2/3
And the y intercept is -1,
Therefore: y=(2/3)x-1
Answer:
y = - 24
Step-by-step explanation:
Given that y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 12 when x = - 3
k = 
= 
= - 4
y = - 4x ← equation of variation
When x = 6, then
y = - 4 × 6 = - 24
Y = -3x - 1......so we sub in -3x - 1 in for y in the other equation
2x + 5y = 12
2x + 5(-3x - 1) = 12....now distribute the 5 through the parenthesis
2x - 15x - 5 = 12...add 5 to both sides
2x - 15x = 12 + 5..combine like terms
-13x = 17...divide both sides by -13
x = -17/13
now sub in -17/13 for x in the other equation
y = -3x - 1
y = -3(-17/13) - 1
y = 51/13 - 1
y = 51/13 - 13/13
y = 38/13
so the solution is (-17/13, 38/13)
