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olga_2 [115]
3 years ago
7

(13 , 6) (-13, 6) (13 , -6) (-13, -6)

Mathematics
2 answers:
MAXImum [283]3 years ago
5 0

Answer:

(13 , 6) in 1st Quadrant

(-13, 6) in 2nd Quadrant

(13 , -6) in 4th Quadrant

(-13, -6) in 3rd Quadrant

<u>-TheUnknownScientist</u>

muminat3 years ago
4 0

Step-by-step explanation:

a. (13, 6) = (1, 2)

b. (-13, 6) = (2, 2)

c. (13, -6) = (1, 3)

d.(-13, -6) = (2, 3)

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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
nlexa [21]

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

We can now substitute into equation (*)

A(x) = 750×75-5×75^2/2

= (56250-28125)/2

= 28126/2

= 14062.5

Hence the rectangular region of maximum area is

14062.5ft^2

5 0
3 years ago
Jessica used 2/3 yard of fabric to make a scarf. Can she make 2 of these scarves with 1 3/4 yards of fabric, and why?
Alex Ar [27]

Option 1

Jessica can make 2 scarves

yes, because the quotient of 1 \frac{3}{4} \div \frac{2}{3} \text { is } 2 \frac{5}{8}

<u>Solution:</u>

Given, Jessica used \frac{2}{3} yard of fabric to make a scarf.

We have to find can she make 2 of these scarves with 1\frac{3}{4} yards of fabric, and why?

Now, let us find number of scarves that can be made from available scarf

\text { Number of scarves }=\frac{\text { avaiable scarf }}{\text { fabric required for } 1 \text { scarf }}

\begin{array}{l}{=\frac{1 \frac{3}{4}}{\frac{2}{3}}=1 \frac{3}{4} \times \frac{3}{2}} \\\\ {=\frac{4 \times 1+3}{4} \times \frac{3}{2}} \\\\ {=\frac{16+5}{8}=2 \frac{5}{8}}\end{array}

We know that,

2 \frac{5}{8}>2 so we can make 2 scarves.

Hence, yes, we can make 2 scarves because quotient of 1 \frac{3}{4} \div \frac{2}{3} \text { is } 2 \frac{5}{8}

So 1st option is correct

3 0
3 years ago
Xy+(z-x) x=3 y=2 z=4​
mixer [17]

Answer:

7

Step-by-step explanation:

xy + (z-x)

x = 3

y = 2

z = 4

3×2 + (4-3)

6+1

= 7

4 0
3 years ago
Someone please help me with 6 and 7 and please show work
kap26 [50]
6 would be $240.

Take 6,000 and multiply it by 4% which means you need to convert 4% to a decimal.
4% as a decimal is 0.04. 6,000 x 0.04 equals 240.

hope this is correct and sorry but I do not understand how to do 7.
4 0
4 years ago
PLS HELP ME ASAP FOR QUESTION 11 AND 13!! (MUST SHOW WORK!!) + LOTS OF POINTS!! *brainliest*
sergejj [24]
Yeah you are my favorite person to do that you are welcome and you can come
3 0
4 years ago
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