How can you tell if an inequality will have a solid line
1 answer:
Answer:
b. the symbol has or equal to
Step-by-step explanation:
Required
When does an inequality have a solid line
The question is pretty straightforward and the answer is (b) which means that when the symbol has or equal to.
This implies that, the symbol could be:
> or = i.e.
and it could also be:
< or = i.e.
Take for instance:
and
<em>The above expressions will have a solid line</em>
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Answer:
and
.
Step-by-step explanation:
Please find the attachment.
We have been given that a norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular. The total perimeter is 38 feet.
The perimeter of the window will be equal to three sides of rectangle plus half the perimeter of circle. We can represent our given information in an equation as:
We can see that diameter of semicircle is W. We know that diameter is twice the radius, so we will get:
Let us find area of window equation as:
Now, we will solve for L is terms W from perimeter equation as:
Substitute this value in area equation:
Since we need the area of window to maximize, so we need to optimize area equation.
Let us find derivative of area equation as:
To find maxima, we will equate first derivative equal to 0 as:
Upon substituting in equation
, we will get:
Therefore, the dimensions of the window that will maximize the area would be and
.
