a farmer wants to fence in three sides of a rectangular field shown below with 960 feet of fencing. The other side of the rectangle will be a river. If the enclosed area is to be a maximum, find the dimensions of the field. ​

9514 1404 393

Answer:

  (5, 1) or maybe (h, k)

Step-by-step explanation:

The given form has no letters other than the variable. The vertex in this vertex-form equation can be read from the expression as (5, 1).

In the generic vertex form ...

  f(x) = a(x -h)² +k

the letters (h, k) are used to represent the vertex.

__

You would need to consult your curriculum materials to see what letters your author uses for the vertex in vertex form.

Answer:

8 would be A and b would be 4

Among the given equation, (ax - by = k) is the example of a literal equation.

"A literal equation is an equation which consists primarily of letters. Formulas are an example of literal equations.

Given equations are:

A. ax - by = k: is a literal equation as per definition.

B. 8 - 2x = 14: is not a literal equation. It is a linear equation with variable 'x'.

C. 5x + 9y: it is not an equation.

D.4 + 12 = 42: it is not an equation.

Learn more about literal equation here: https://brainly.com/question/2973498

#SPJ2

Answer:

¿Qué quieres decir?

Step-by-step explanation:

Answer:

500 miles

Step-by-step Explanation:

We are told that

1 inch = 125 miles meaning if the distance between two points on the map is 1l inch, then it's 125 miles in real life. However, the map distance between the two cities is 4

inches, therefore it is 4 inches

×

125 miles

1 inch

=

500 miles

Answer:

Second option: a rectangular prism completely filled with unit cubes

Step-by-step explanation:

If the rectangular prism is completely filled then there are 1) no gaps, 2) no overlaps. It's compact and complete.

Answer:

Q.1 49x²- 25y²

= (7x)² - (5y)²

= (7x+5y)(7x - 5y)

Q.2 x²y² - 64

=(xy)² - (8)²

=(xy+8)(xy - 8)

Answer:

what?

Step-by-step explanation:

hansnskekkwkwnw

Answer:

X=-2

Step-by-step explanation:

1. Open up the brackets

You then get

6+8x+12=2

2. Send the whole numbers to the other sides

8x= 2-6-12

8x = - 16

3. Divide both sides by 8 to leave x alone

X=-2

Answer:

2%

Step-by-step explanation:

Given data

Principal=$2300

Simple interest=$906.20

Time= 19.7years

Required

The rate in percentage

We know that

SI=PRT/100

substitute

906.20=2300*R*19.7/100

906.20=45310R/100

cross multiply

906.20*100= 45310R

90620= 45310R

R= 90620/45310

R=2%

Hence the rate is 2%

Answer:

10

Step-by-step explanation:

(U can do mental calculation and guess it will be 10 ..) or else ....

Constant(k) = xy

k= 5 x 20  

k= 100

Constant(k) = xy

100 = xy  

100 = 10y  

y= 100/10 = 10  

= 10

I hope im right!!

Answer:

[tex]L_{1}[/tex] ⊥ [tex]L_{2}[/tex] ; [tex]L_{3}[/tex] ⊥ [tex]L_{2}[/tex] ; [tex]L_{1}[/tex] ║ [tex]L_{3}[/tex]

Step-by-step explanation:

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

y = mx + b

"m" is slope

"b" is y-intercept (coordinates are (0, b)

Parallel lines have the same slopes and different y-intercepts.

Slopes of perpendicular lines are opposite reciprocals: [tex]m_{1}[/tex] × [tex]m_{2}[/tex] = - 1

~~~~~~~~~~~~~~~~~~~~~~

[tex]L_{1}[/tex] :  y = x + 5 , [tex]m_{L_{1} }[/tex] = 1 , b = 5

[tex]L_{2}[/tex] : y = - x + 7 , [tex]m_{L_{2} }[/tex] = - 1 , b = 7

[tex]L_{1}[/tex] ⊥ [tex]L_{2}[/tex]

[tex]L_{3}[/tex] : [tex]m_{L_{3} }[/tex] = 1 , b = - 2

[tex]L_{1}[/tex] ║ [tex]L_{3}[/tex] and [tex]L_{2}[/tex] ⊥ [tex]L_{3}[/tex]  

Answer:

d= s x t

=50km/h x 3h

= 150km/h

Answer:

x=13

Step-by-step explanation:

The two angles form a straight line so they add to 180 degrees

9x+17 + 3x+7 = 180

Combine like terms

12x +24 =180

Subtract 12 from each side

12x+24-24 =180-24

12x =156

Divide each side by 12

12x/12 =156/12

x=13

Answer:

The two angles are 54 degrees and 126 degrees.

Step-by-step explanation:

Let the two angles be 3x and 7x. Supplementary angles add up to 180 degrees.

Answer:

71

Step-by-step explanation:

46 + 49 = 95

95 - 24 = 71

Answer:

x=[tex]\frac{3B}{4A}[/tex]

Step-by-step explanation:

8xax/bx=6

8ax=6b

8ax/8a=6b/6a

x=3b/4a

Hopefully this makes sense :)

Answer: 4188790 cm^3

Step-by-step explanation:

To find Radius of sphere S we multiply 1/5 by 500.

1/5 x 500 = 100

We now have the radius of sphere S. Now we use the formula for a sphere and we get our answer.

4/3 \pi 100^2 = 4188790.205

Answer: The line is 4 units.

Step-by-step explanation:

Answer:

5 is the correct answer just did the edge quiz

Step-by-step explanation:

Answer:

4a + 6d

Step-by-step explanation:

3a + 4d + a + 2d

3a + a + 4d + 2d

Answer: 4a + 6d

Answer:

[tex]26 {x}^{6} - 18 {x}^{2} {y}^{4} - 27 {x}^{4} {y}^{2} [/tex]

Step-by-step explanation:

click the link for alot more explanation, I'm tried typing

https://photomath.net/s/l5LVxj

Answer:

B

Step-by-step explanation:

D hope this helps

Step-by-step explanation:

Answer:

mayne because of grasses and animals

Answer:

D

Step-by-step explanation:

Problem 1

With mean = median, the data set is symmetrical. Well it's more accurate to say "roughly symmetrical" due to the phrasing "mean is approximately equal to the median". Using the median as its center is fairly common with many distributions, so there isn't an issue here.

The error is from the phrasing "the quartiles should be used to measure the spread". The quartiles themselves don't measure spread. They are simply single data points and do not tell us the spread. If Ralph said Q3 = 75 is a measure of spread, then he would be incorrect. However, the difference between the third and first quartile will help get the IQR (interquartile range), as described by this equation below

IQR = Q3 - Q1

and this is one tool to measure how spread out data is. The larger the IQR is, the more spread out the data will be.

The IQR is how far of a gap it is from Q1 to Q3. Another tool to measure spread is the standard deviation. Ralph was probably thinking about the IQR when he mentioned the quartiles, but he should be more specific about what he means.

=======================================================

Problem 2

Answer: Skewed left

This is the same as saying "negatively skewed"

---------------

Explanation:

The main cluster of values is on the right side, while a small portion of values are to the left. We consider this the left tail and the left tail is pulled longer compared to the right tail. The further left we go, the shorter the bar and eventually we hit outliers. These much smaller outliers compared to the main cluster pull on the mean to make it smaller than it should be.

One example could be that this curve represents test scores. The majority of the class could get in the range of say 70 to 90. Then there's the unfortunate few outliers who scored much lower (possibly 40 through 60); those outlier scores pull down the mean grade of the class overall.

In short, negatively skewed data indicates that mean < median.

Answer:

[tex] \boxed{ \tt{2.2 \: degrees}}[/tex]

Answer:

If the difference of x and 22=8

then equation is

X -22=8

X=22+8

X=30

therefore now we put the value of x in the equation

30-22=8

8=8

Answer:

x would be 30

Step-by-step explanation:

x-22=8

x=8+22

x=30

Answer:

Hope this will help you.

Answer:

Angle 1

Step-by-step explanation:

When two parallel  lines are crossed by traversal  line, the angles in matching corners are called corresponding angles

Angle 7 and angle 1  are corresponding

Answer:

The answer is 2..............