You have 200 feet of fencing to build a rectangular dog pen. If you want the pen to have the maximum possible area. What should the dimensions of the pen be? Show your work.

Answer:

15+7=22

Step-by-step explanation:

Set up the equations.

50d^2 - 98e^2

Factor out 2.

2(25d^2 - 49e^2)

We now factor the difference of two perfect squares within the parentheses.

2(5d - 7e)(5d + 7e)

This is as far as we can factor.

Done!

The factor of the expression into an equivalent form 50d²- 98e² would be;  2(5d - 7e)(5d + 7e)

Factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form.

Those expressions that might look different but their simplified forms are the same expressions are called equivalent expressions.

We are given that expression is given that 50d²- 98e².

We have to Factorise .

Factor out 2.

2(25d² - 49e²)

We have to factor the difference of two perfect squares within the parentheses.

2(5d - 7e)(5d + 7e)

Learn more about factorization here:

https://brainly.com/question/10454590

#SPJ2

Answer:2

Step-by-step explanation:

Answer:

S.A. = 15.7

Step-by-step explanation:

S. A. = [tex]\pi r^{2} + \pi rl[/tex]

1 x 1 x 3.14 = 3.14

3.14 x 1 x 4 = 12.56

12.56 + 3.14 = 15.7

Answer:

75

Step-by-step explanation:

[tex]5 \times 10 = 50[/tex]

[tex]5 \times 10 \div 2 = 25[/tex]

[tex]50 + 25 = 75[/tex]

Answer:

5 inches

Step-by-step explanation:

Since the length irl is 60 yards you should divide 60 by 3.

60/3=20

Then convert 1/4 to a decimal.

1/4=0.25

Finally multiply 20 and 0.25 to get the length of the park on the map.

20x0.25=5

your answer is Option F 5 inches

Answer:

You have to use the Pythagorean Theorem to find the other side, which will be your base in the Area formula (A=1/2bh). So the Pythagorean theorem would be 36^2 + b^2 = 60^2. This gives you 48 in for your base/missing side length. Then, you plug it into the area formula. So, A=1/2(48) (36). This gives you 864 in^2 for the area of your triangle.

Answer:

yes

Step-by-step explanation:

Answer: this equation couldn't be determined

Step-by-step explanation:

The solution couldn't be determined as all the variables are different (it should have at least two variables should be same to be added or subtracted)

Answer:

[tex] x = \dfrac{2}{5} + \dfrac{\sqrt{14}}{5} [/tex]   or   [tex] x = \dfrac{2}{5} - \dfrac{\sqrt{14}}{5} [/tex]

Step-by-step explanation:

[tex] 5x^2 - 2 = 4x [/tex]

[tex] 5x^2 - 4x - 2 = 0 [/tex]

[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

[tex] x = \dfrac{-(-4) \pm \sqrt{(-4)^2 - 4(5)(-2)}}{2(5)} [/tex]

[tex] x = \dfrac{4 \pm \sqrt{16 + 40}}{10} [/tex]

[tex] x = \dfrac{4 \pm 2\sqrt{14}}{10} [/tex]

[tex] x = \dfrac{2 \pm \sqrt{14}}{5} [/tex]

[tex] x = \dfrac{2}{5} + \dfrac{\sqrt{14}}{5} [/tex]   or   [tex] x = \dfrac{2}{5} - \dfrac{\sqrt{14}}{5} [/tex]

Answer:

Answer:

x = \dfrac{2}{5} + \dfrac{\sqrt{14}}{5}x=

5

2

+

5

14

or x = \dfrac{2}{5} - \dfrac{\sqrt{14}}{5}x=

5

2

−

5

14

Step-by-step explanation:

5x^2 - 2 = 4x5x

2

−2=4x

5x^2 - 4x - 2 = 05x

2

−4x−2=0

x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}x=

2a

−b±

b

2

−4ac

x = \dfrac{-(-4) \pm \sqrt{(-4)^2 - 4(5)(-2)}}{2(5)}x=

2(5)

−(−4)±

(−4)

2

−4(5)(−2)

x = \dfrac{4 \pm \sqrt{16 + 40}}{10}x=

10

4±

16+40

x = \dfrac{4 \pm 2\sqrt{14}}{10}x=

10

4±2

14

x = \dfrac{2 \pm \sqrt{14}}{5}x=

5

2±

14

x = \dfrac{2}{5} + \dfrac{\sqrt{14}}{5}x=

5

2

+

5

14

or x = \dfrac{2}{5} - \dfrac{\sqrt{14}}{5}x=

5

2

−

5

14

Step-by-step explanation:

5.slope=0

6.equation=y=5

7.slope=undefined(no Slope)

8.equation=x=-1

Answer:

7 pencils

Step-by-step explanation:

Let x equal the number of pencils Monica buys and y equal the number of pens.

The expression would then be 2x + 7y ≤ 35. Plugging in 3 for y:

2x + 7(3) ≤35

2x +21 ≤ 35

2x ≤ 14

x≤ 7

Answer:

Circle

Step-by-step explanation:

A cross section of a cone sliced parallel to iits bases is a circle and a rectangle when sliced perpendicular to its bases.

Answer:

its a circle

Step-by-step explanation:

got this from Khan and micaelaamisial :)

Answer:

11

Step-by-step explanation:

Answer: The square root of 121 is 11!

Step-by-step explanation:

11x11= 121

Another example:

9x9=81

So, 9 is the square root of 81

Another example:

8x8=64

so, 8 is the square root of 64!

Answer:

Diagonal of square = 20 cm. = 200 cm². Side = 10√2 cm

Step-by-step explanation:

Answer:3

Step-by-step explanation:divide

Answer:

≈ 3.64 sales tax

Step-by-step explanation:

55 × 0.06625 = 3.64375

Answer:

quantities or total number of observations

Step-by-step explanation:

Average also known as mean is a measure of central tendency. It is determined by adding the numbers together and dividing it by the total number

Average = sum of the numbers / total number

For example, there are 3 numbers 3 , 6, 9

Average = ( 3 + 6 + 9) / 3 = 18 / 3 = 6

Answer:  A rectangle has a length of 8 inches and a width of 5 inches. If its length is increased by 50% and - Brainly.com A rectangle has a length of 8 inches and a width of 5 inches. If its length is increased by 50% and its width is reduced by 25%, find the percent change in the area of the rectangle. What do you need to know? Rate! Rate!

Step-by-step explanation:

Answer:

B. (x-3,y+1)

Step-by-step explanation:

because they are integars

brainlyyest pls

Answer:

$35,75

Step-by-step explanation:

55 . 35 / 100 = 19,25

55 - 19,25 = 35,75

Answer:

(3,0°)

Step-by-step explanation:

a p e x

Answer:

(3, 0 degrees) is the right answer

Step-by-step explanation:

Use tan(theta)=y/x for theta and

x^2+y^2= r^2 for the r value

Answer:

60

Step-by-step explanation:

stuffed animals = 3 x dolls eqn 1

video games = 15 + stuffed animals eqn 2

dolls = 15

replace for dolls in eqn 1

stuffed animals = 15 x 3 = 45

substitute for stuffed animals in eqn 2

45 + 15 = 60

hhh

Step-by-step explanation:

Answer:

42.21 ft^2

Step-by-step explanation:

The formula: A=1 /2b √ c2﹣b2

c=hypotenuse

b=base

Answer:

The slope is 4

Step-by-step explanation:

rise is 4, run is 1

4/1=4