A farmer wants to fence in a rectangular plot in a large field, using a rock wall which is already there as the north boundary. The fencing for the east and west sides of the plot will cost $4 a yard, but the farmer needs to use special fencing which cost $5 a yard on the south side of a plot. If the area of the plot is to be 600 square yards, find the dimensions for the plot which will minimize the cost of the fencing.

heyy im not sure if you meant origin instead of original but the origin would be (0,0)

Answer:

2/3

Step-by-step explanation:

the slope form equation is :  y2 - y1/ x2-x1 (aka change in y divided by change in x)

so it would be  2-0/ 3-0 = 2/3

the slope is 2/3

Answer:

Step-by-step explanation:

distance =  square root [ [tex](x2-x1)^{2}[/tex] + [tex](y2-y1)^{2}[/tex] ]

where you have two points on the line

Point 1 = P1 = (x1,y1)

point 2 = P1 =(x2,y2)

Answer:

x = 2.5

Step-by-step explanation:

Because the triangles are similar, you can divide the sides and equal the results:

24/6 = 10/x

24•x/6 = 10

24•x = 10•6

24•x = 60

x = 60/24

x = 2.5

Answer:

x = 2.5 km

Step-by-step explanation:

In similarity triangles, corresponding sides are in same ratio.

[tex]\frac{DF}{BC}=\frac{EF}{AC}\\\\\frac{10}{24}=\frac{x}{6}\\\\\frac{10}{24}*6=x\\\\x=\frac{10}{4}\\\\x=\frac{5}{2}\\\\x= 2.5[/tex]

Answer:

% change in perimeter = 43. 44 %

% change in area = 16 %

Step-by-step explanation:

initial perimeter of the rectangle = 2(2p + p)

= 6p

initial area of the rectangle = 2p × p

= 2p²

therefore,

= 2p + 0.8p = 2.8 p

= p - 0.4p

= 0.6 p

= 3.4 p

= 1.68 p²

% change in perimeter

[tex] = \frac{6p - 3.4p}{6p} \times 100 \\ = \frac{2.6p}{6p} \times 100 \\ = 43.33\%[/tex]

% change in area

[tex] \frac{2 {p}^{2} - 1.68 {p}^{2} }{2 {p}^{2} } \times 100 \\ = \frac{0.32}{2} \times 100 \\ = 16\%[/tex]

Area of a triangle formula: 1/2 x base x height

Area = 1/2 x 2 x 3.8

Area = 3.8 square km

Answer:

The area of triangle = 3.8km²

Step-by-step explanation:

Given :-

A triangle having length of base is 2km and length of height is 3.8km.

To find :-

Solution :-

We know that ,

Area of triangle = ½ × Base × height

Area of triangle = ½ × 2km × 3.8km

Area of rectangle = ½ × 7.6km²

Area of triangle = 3.8km²

Step-by-step explanation:

it is the longest side of the triangle and to find it we must appy a formula c square =a square + b square..thats all i know hehe

Answer:

x = [tex]\frac{3}{20}[/tex]

Step-by-step explanation:

Given

x + [tex]\frac{3}{2}[/tex] + (x - 1) = [tex]\frac{4}{5}[/tex]

Multiply through by 10 ( the LCM of 2 and 5 ) to clear the fractions

10x + 15 + 10(x - 1) = 8

10x + 15 + 10x - 10 = 8

20x + 5 = 8 ( subtract 5 from both sides )

20x = 3 ( divide both sides by 20 )

x = [tex]\frac{3}{20}[/tex]

x + 3/2 + x - 1 = 4/5

Collect the same terms

x + x + 3/2 - 1 = 4/5

2x + 3/2 - 2/2 = 4/5

2x + (3 - 2)/2 = 4/5

2x + 1/2 = 4/5

2x + 0.5 = 0.8

Subtract both sides 0.5

2x + 0.5 - 0.5 = 0.8 - 0.5

2x + 0 = 0.3

2x = 3/10

Divide both sides by 2

2x ÷ 2 = ( 3/10 ) ÷ 2

x = 3/10 × 1/2

x = 3/20

_________________________________

3/20 + 3/2 + ( 3/20 - 1 ) = 4/5

3/20 + 30/20 + ( 3/20 - 20/20 ) = 4/5

(3 + 30)/20 + (3 - 20)/20 = 4/5

33/20 - 17/20 = 4/5

(33 - 17)/20 = 4/5

16/20 = 4/5

4 × 4 / 4 × 5 = 4/5

4/5 = 4/5

Thus we found the correct value of x .

And we're done...

Answer:

70= (x+3)

Step-by-step explanation:

the length of the rectangle  its width by 3 inches, if the width is x,the length will be x+3. so A=LW= 70

To find= 70= (x+3)x

x= 7 or -10

Answer:

ayan po answer nasa picture po

Step-by-step explanation:

where

x

is the number you are trying to compute the (2/3) rds of

Answer:

16.8

Step-by-step explanation:

Answer:

5.60

Step-by-step explanation:

To find what 10 pens cost we have to go down to the cost of 1 pen first.

If 3 pens costs 1.68 then the cost of 1 pen is 1.68 divided by 3.

[tex]\frac{1.68}{3} = 0.56[/tex]  

If one pen costs 0.56 then 10 pens cost 0.56 multiplied by 10.

0.56 × 10 = 5.60

Answer:

$1.70

Step-by-step explanation:

To figure out how much each apple costs, divide $1.50 by the quantity of apples (6). The answer to that is $0.25, so multiply it by the two apples to get $0.50.

For the oranges, divide $3 by 5. The answer for that is $0.60. Multiply that by the two oranges to get $1.20.

Then, add $0.50 to $1.20 to get a total of $1.70

Answer:

$1.70

Step-by-step explanation:

We know that you can buy 6 apples for $1.50 and 5 oranges for $3.00. So let's look at the cost for one individual apple first.

To find the amount/apple we can divide $1.50 by 6. Here's another way to look at it:

Assume A is cost per apple.

6A = $1.50

6A/6 = $1.50/6

A = $0.25

Now to find the amount for 2 apples, you want to multiply the amount it costs for one apple by 2, because you are multiplying the quantity by 2 as well.

A= $0.25

A *2 = $0.25 * 2

2A = $0.50

So for two apples, it is 50 cents.

We can use a similar process for oranges but with a different price and quantity.

Assume R is cost per orange.

5R = $3.00

5R/5 = $3.00/5

R = $0.60

To find the amount for two oranges we multiply the cost by two.

R = $0.60

R*2 = $0.60*2

2R = $1.20

Finally, we want the total amount for apples AND oranges so we find the sum.

$0.50 + $1.20 = $1.70

or, - 12= - 5x-5-15

or, - 12= - 5x-20

or, - 12+20= - 5x

or, 8= - 5x

or, x= 8÷-5

Also,

F(x)= - 5(x+1+3)

or, f(8÷-5)= - 5(8÷-5+1+3)

= - 5(8-5-15÷-5)

= - 5×-12÷-5

= - 12 #

Answer:

a = 1

b = 3

c = 1

d = 2

e = 6

f = 8

Step-by-step explanation:

found the answer on socratic and brainly

The values of the exponential functions, a, b, c, d, e and f are 1, 3, 1, 2, 6, 8 respectively.

Exponential function is defined as a mathematical function which is written in the form f(x) = aˣ where a is a constant called base of the function and x is a variable. It is used to find the exponential growth or decay of a given data.

Here,

(a) Value of x = 0

   So, a = 2ˣ = 2⁰

     a = 1

(b) Value of x = 0

   So, b = 3 * 2ˣ

       b = 3 * 1

       b = 3

(c) Value of x = 0

    c = 2³ˣ = 2⁰

    c = 1

(d) Value of x = 1

    d = 2ˣ = 2¹

    d = 2

(e) Value of x = 1

     e = 3 * 2ˣ

     e = 3 * 2¹ = 3 * 2

     e = 6

(f) Value of x = 1

    f = 2³ˣ = 2³

    f = 8

Hence,

The values of the exponential functions, a, b, c, d, e and f are 1, 3, 1, 2, 6, 8 respectively.

To learn more about exponential functions, click:

https://brainly.com/question/2456547

#SPJ7

⟶ 2³ × 3² is the prime factorization for which one of these choices?

Let's check,

1) 6 = 3 × 2 [So, obviously not this choice]

2) 25 = 5 × 5 = 5² [Not this either]

3) 36 = 3 × 2 × 2 × 3 = 3² × 2² [Doesn't match with 2³ × 3²]

4) 72 = 2 × 2 × 2 × 3 × 3 = 2³ × 3² [Matches]

⟶ The answer is, choice 72.

[tex]\underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}[/tex]

Answer:

0.28 seconds

Step-by-step explanation:

To solve, I usually set up an equation.

miles = 213 = 1

sec       60    x

Then use cross multiplication.

213x=60

Divide both sides by 213

x=0.281690141

If you are supposed to round, round.

Hope this helps!

Answer:Hope this helps.

Step-by-step explanation:

Answer:

convenience sample is biased because you're only collecting the samples from places that are expedient, but doesn't necessarily represent the population

Answer:

AL= 6.63

Step-by-step explanation:

C = 2[tex]\pi r[/tex]

C = 2[tex]\pi 10[/tex]

C = 20[tex]\pi[/tex]

[tex]AL = \frac{38}{360} 20\pi[/tex]

AL= 6.63

The length of the arc travelled by the car is 6.63 feet.

The distance along the part of circumference of any circle or any curve (arc) is called arc length of a circle.

Arc length = θ×[tex]\frac{\pi }{180}[/tex]× r

where,

θ is central angle of arc

r is the radius of circle

The diameter of a circle is any straight line segment that passes through the center of the circle and whose end points lie on the circumference of the circle.

diameter = 2× radius

According to the given question

we have

θ = 38 degrees

diameter = 20ft

⇒ radius = [tex]\frac{20}{2}[/tex]

⇒ radius = 10

Therefore,

the arc length the car traveled = 38×[tex]\frac{\pi }{180}[/tex]× 10

= 38×[tex]\frac{3.14}{180}[/tex]×10

=[tex]\frac{1193.2}{180}[/tex]

=6.63 feet

Hence, the arc length the car travelled is 6.63feet.

Learn more about the arc length here:

https://brainly.com/question/16403495

#SPJ2

Answer:

y = f(t) = 6t + 50

Step-by-step explanation:

Given:

y = 2x + 50

Where,

x = 3t

Substitute x = 3t into the equation

y = 2x + 50

y = 2(3t) + 50

Open parenthesis

y = 6t + 50

y = f(t) = 6t + 50

very easy    

[tex]\displaystyle\ (f-g)(x)=f(x)-g(x)=4x^2-5x-3x^2-6x+4=\boxed{x^2-11x+4}[/tex]

[tex]\\ \sf\longmapsto f(x)=4x^2-5x[/tex]

[tex]\\ \sf\longmapsto g(x)=3x^2+6x-4[/tex]

Now

[tex]\\ \sf\longmapsto (f-g)(x)[/tex]

[tex]\\ \sf\longmapsto f(x)-g(x)[/tex]

[tex]\\ \sf\longmapsto 4x^2-5x-(3x^2+6x-4)[/tex]

[tex]\\ \sf\longmapsto 4x^2-5x-3x^2-6x+4[/tex]

[tex]\\ \sf\longmapsto x^2-11x+4[/tex]

Answer:

graph 1

Step-by-step explanation:

if it's all the times BETTER

then it shouldn't include 15

Answer:

Graph 3.

Step-by-step explanation:

.

Answer:

El indicador mencionado en el enunciado indica que la suma de los resultados de las pruebas de razonamiento cualitativo de los estudiantes dividido por la población de los estudiantes arroja ese promedio.

El promedio indica el valor "central" del indicador, no estudia la dispersión de los resultados de las pruebas, es decir, como se distribuye la colección de indicadores.

Step-by-step explanation:

El indicador mencionado en el enunciado indica que la suma de los resultados de las pruebas de razonamiento cualitativo de los estudiantes dividido por la población de los estudiantes arroja ese promedio.

El promedio indica el valor "central" del indicador, no estudia la dispersión de los resultados de las pruebas, es decir, como se distribuye la colección de indicadores.  

Hello,

[tex]Formula:\ y=k*a^x+b\\\\ \lim_{x \to -\infty} y=-3 \Longrightarrow -3=k*a^{-\infty}+b=0+b \Longrightarrow b=-3\\\\if \ x=0\ then\ y=-2 \Longrightarrow -2=k*a^0-3 \Longrightarrow k=1\\\\if \ x=1\ then\ y=3 \Longrightarrow 3=a^1-3 \Longrightarrow a=6\\\\\boxed{y=6^x-3}\\[/tex]

Answer:

Quadratic equations of second degree.

[tex]{ \bf{a {x}^{2} + bx + c = 0}}[/tex]

Quadratic equations of third degree.

[tex]{ \bf{a {x}^{3} + {bx}^{2} + cx + d = 0}}[/tex]

Answer:

D......................

Answer:

y - 10 = -7 (x + 1)

Step-by-step explanation:

pont = (-1,10)     slope = -7

y - 10 = -7 (x + 1)

Answer:

D

Step-by-step explanation:

-10 < -6 - 1

-10 < - 7 (ok)

-10 < -4 - 3

-10 < -7 (ok)

The answer is D (-2, -10)

Answer:

(- ∞,∞)

there is no restriction when taking  cube roots

Step-by-step explanation:

Answer:

The smallest number is 10

Step-by-step explanation:

x+y=24---equation 1

x-y=¹/6×24=>x-y=4---equation 2

Add both equations

2x=28

x=14

put x=14 into equation 1

14+y=24

y=24-14=10

Answer:

e t

Step-by-step explanation:

Answer:

I believe that the answer is B as well

Step-by-step explanation:

This might be for Ap3x but not 100% sure