Answer:
Therefore, equation of the line that passes through (2,2) and is parellel to the line 
is 
Step-by-step explanation:
Given:
a line
To Find:
Equation of line passing through ( 2, 2) and is parellel to the line y=7x
Solution:
...........Given
Comparing with,
Where m =slope
We get
We know that parallel lines have Equal slopes.
Therefore the slope of the required line passing through (2 , 2) will also have the slope = m = 7.
Now the equation of line in slope point form given by
Substituting the points and so we will get the required equation of the line,
Therefore, equation of the line that passes through (2,2) and is parellel to the line is
Answer:
Step-by-step explanation:
Let 
and 
be the production level of milk and white chocolate-covered strawberries respectively. According to the given data, we know the total profit will be
The restrictions can be written as
All the restrictions can be plotted in the same graph to find the feasible region where all of them are met. The graph is shown in the image below
The optimal solution will be the level of production such that
* All restrictions are met
* The total profit is maximum
The optimal level of production can be found in (at least) one of the vertices of the feasible region. We'll try each one as follows
P(0,0)=0
P(400,200)=$2.25 (400)+$2.50 (200) = $1400
P(600,200)=$2.25 (600)+$2.50 (200) = $1850
P(800,0)=$2.25 (800)+$2.50 (0) = $1800
We must produce 600 milk chocolate-covered strawberries and 200 white chocolate-covered strawberries to have a maximum profit of $1850/month
Find the unit rate for 38 dollars multiply it by 4 to get the 4 percent and multiply that by 3
Answer:
c
Step-by-step explanation:
Because the triangle is isosceles, angle P and angle R are the same. Thus, your work would be:
. You then simplify this to 6x+4 + 196 - 8x = 180. Combine like terms, you get - 2x = - 20. x = 10.
Plug x = 10 back into the equation 98 - 4x to get 98 - 4(10) which becomes 98 - 40 = 58.
Angle P should be equal to 58 degrees.
To check your work add up the angles to see if they equal 180:
58 + 58 + 6(10) + 4 = 116 + 64 = 180.
