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frez [133]
3 years ago
15

Parallel to the line y= -6 containing points (2, 7)

Mathematics
1 answer:
Verdich [7]3 years ago
5 0
Y = -6 is a horizontal line, so every other horizontal line is automatically parallel to it. y = 1 is parallel to it. y = 48 is parallel to it. with that in mind, all you need to do here is take the y-value of your given point and make it into a line: y = 7. y = 7 is also horizontal, so it's parallel to your given line, and it'll pass through (2, 7) as well.

for future reference: y = n (y equals a number) is a horizontal line, so all horizontal lines are parallel. x = n (x equals a number) is a vertical line, so all vertical lines are parallel.
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Suppose that y varies inversely with x. Use the information to find k, and then choose the equation of variation. X= 2.5 when y=
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Answer:constant of variation(k) is, 250.

Step-by-step explanation:

The inverse variation says that:

then, the equation is in the form of :

       ....[1] where, k is the constant of variation

As per the statement:

Suppose that y varies inversely with x.

then,

by definition of inverse variation we have;

When x = 2.5 and y = 100 then

Substitute these in [1] we have;

Multiply 2.5 both sides we have;

or

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⇒

Therefore, the constant of variation is, 250 and the equation we get

Read more on Brainly.com - brainly.com/question/5991656#readmore

Step-by-step explanation:

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Consider the following problem: a farmer with 750 feet of fencing wants to enclose a rectangular area and then divide it into fo
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Answer:

14,062.5ft^2

Step-by-step explanation:

A farmer has a given length of fencing. Since this fencing is used to enclose a rectangular area, before it is then divided it into four pens using the same provided fencing material. This will definitely lead to five lengths of fencing which come along one side of the rectangle to form four pens.

Let us assume that the length of the each of the five sides be xft.

Then let the length of each of the two sides in the be yft.

Since the total length of fencing available is 750 feet.

Then we can have an equation of such:

5x+2y=750

Making y the subject

2y = 750-5x

y = 750-5x/2. ........1

The area of the rectangular region is given by:

A = xy. ......... 2

Combining (1) in (2) to find the area

A(x)= x. (750−5x)/2

=750x−5x^2/2 ........... (*)

Going by the means of first diffential calculus.

A(x)=750x−5x^2/2

A'(x) = 750-10x/2

Setting A'(x) = 0

750-10x/2 = 0

750-10x = 2×0

750-10x = 0

750= 10x

x = 750/10

x = 75

Now that we have x = 75

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Hence the rectangular region of maximum area is

14062.5ft^2

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