Answer:

Step-by-step explanation:
<u><em>The correct question is</em></u>
what is the equation for a line passing through (-2,3) and perpendicular to y= -1/2<em>x</em>+1 ?
Remember
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes are equal to -1)
The slope of the given line is m=-1/2
so
the opposite reciprocal is m=2
<em>Find the equation of the line in point slope form</em>

we have

substitute

<em>Convert to slope intercept form</em>

isolate the variable y



Answer:
m = 300
Step-by-step explanation:

multiply both sides of the equation by 5

Answer:
Below
Step-by-step explanation:
sin(2x) = 2 ×cos(x)× sin(x)
● sin(x) = 2 × cos(x) × sin(x)
● 2 × cos(x) = 1
● cos (x) = 1/2
So we can deduce that:
● x = Pi/3 + 2*k*Pi
● or x = -Pi/3 + 2*k*Pi
K is an integer
Multiplying the number by 1,000
Answer:

Step-by-step explanation:
Let
be the number of bags with 8 onions and let
be the number of bags with 3 onions. We have the following system of equations:

Subtracting
from both sides of the first equation, we get
. Substitute this into the second equation:

Therefore, the number of 8-onion bags is:

Thus, the chef got 4 8-onion bags and 3 3-onion bags.