The answer to this equation is 1/2
Answer:
2x + y = -4
Step-by-step explanation:
standard form of equation of straight line is
ax+by = c
that is terms containing x and y should be on LHS and constant term should be on RHS
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Given equation
y + 1 = - 2x - 3
lets bring -2x on LHS ,
add 2x on lHS and RHS
y + 1 + 2x = - 2x - 3 + 2x
=> y + 1 + 2x = -3
on lHS, 1 is there which constant term lets bring it on RHS
subtract 1 from both sides
y + 1 + 2x - 1= -3 -1
y + 2x = -4
rearranging it
2x + y = -4 (Answer)
AC is a tangent so by definition, it touches the circle at exactly one point (point C) and forms a right angle at the tangency point. So angle ACO is 90 degrees
The remaining angle OAC must be 45 degrees because we need to have all three angles add to 180
45+45+90 = 90+90 = 180
Alternatively you can solve algebraically like so
(angle OAC) + (angle OCA) + (angle COA) = 180
(angle OAC) + (90 degrees) + (45 degrees) = 180
(angle OAC) + 90+45 = 180
(angle OAC) + 135 = 180
(angle OAC) + 135 - 135 = 180 - 135
angle OAC = 45 degrees
Side Note: Triangle OCA is an isosceles right triangle. It is of the template 45-45-90.
C. 18 hours of my sleep I
