Answer:
The equation of the line L is
Step-by-step explanation:
we know that
The line y=7
Is a horizontal line (parallel line to the x-axis)
The slope of a horizontal line is equal to zero
A line L perpendicular to the given line must be a vertical line (parallel to the y-axis)
The slope of the line L is undefined
The line L passes through the point (2,-5)
therefore
The equation of the line L will be equal to the x-coordinate of the given point
Answer:
p = 4
Step-by-step explanation:
Given equation:
<u>Standard equation of a circle:</u>
(where is the centre of the circle, and
is the radius)
If you expand this equation, you will see that the coefficient of is always one.
Therefore,
<u>Additional information</u>
To rewrite the given equation in the standard form:
So this is a circle with centre (2, -3) and radius √29
Answer:
(c, m) = (45, 10)
Step-by-step explanation:
A dozen White Chocolate Blizzards generate more income and take less flour than a dozen Mint Breezes, so production of those should clearly be maximized. Making 45 dozen Blizzards does not use all the flour, so the remaining flour can be used to make Breezes.
Maximum Blizzards that can be made: 45 dz. Flour used: 45×5 oz = 225 oz.
The remaining flour is ...
315 oz -225 oz = 90 oz
This is enough for (90 oz)/(9 oz/dz) = 10 dozen Mint Breezes. This is in the required range of 2 to 15 dozen.
Kelly should make 45 dozen White Chocolate Blizzards and 10 dozen Mint Breezes: (c, m) = (45, 10).
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In the attached graph, we have reversed the applicable inequalities so the feasible region shows up white, instead of shaded with 5 different colors. The objective function is the green line, shown at the point that maximizes income. (c, m) ⇔ (x, y)
Answer:
y = 2
Step-by-step explanation
Divide both sides by 3
Simplify
