Pi/3 is equivalent to 60 degrees, as 2pi is equal to 360 degrees. cos(60) in a triangle yields 1/2, and sin(60) yields (3^(1/2))/2. Thus, -pi/3, or -60 degrees would be a fourth quadrant point on the unit circle and these values would be negative as well, at cos(-pi/3)=-1/2 and sin(-pi/3)=-(3^(1/2))/2
The correct answers are B, C, and D.
(Hope this helped!!)
Answer:
and
Step-by-step explanation:
We are asked that what are the zeros of the quadratic function f(x) = 6x² +12x -7.
So, we have to find the roots of the equation, f(x) = 6x² +12x -7 =0 ...... (1)
Since the quadratic function can not be factorized, so we have to apply Sridhar Acharya's formula.
This formula gives if, ax² +bx +c =0, the the two roots of the equation are
Therefore, in our case 'a' being 6, 'b' being 12 and 'c' being -7, the two roots of the equation (1) will be
=
= and
Hence, x=
and x=
(Answer)
-5x+3y=19
<span>-5x+7y=11
Here, we use substitution to solve for both variables.
Solve for y first
-5x + 3y = 19
+5x +5x
3y = 19 + 5x
y = 19/5 + 5/3x
Now plug that into the other equation. </span>-5x+7(19/5 + 5/3x) =11
-5x + 26.6 + 35/3x = 11
-5x + 35/3x = 20/3x
20/3x + 26.6 = 11
-26.6 -26.6
11 - 26.6 = -15.6
20/3x = -15.6
x = -119.6
Ahhh, now time to solve for y
-5x+3y=19
-5(-119.6) + 3y = 19
598 + 3y = 19
-598 -598
19 - 598 = -579
3y = -579
y = - 193
WE ARE DONE!!!
Answer: y = -193 and x = -119.6
Answer:
It would be -22, not 22%. She is $22 in debt, which is why it is negative.