A farmer divides a rectangular plece of land with a perimeter of 140 yards into two trlangular parts as shown in the dilagram. If the area of ABC Is
600 square yards, what is the area of ACDR

Answer:

[tex]y = \frac{3}{2} x + 2[/tex]

Step-by-step explanation:

It gives us the slope in the question (3/2), so we can write an equation that looks like this:

[tex]y = \frac{3}{2} x + b[/tex]

To find the y-intercept we can plug the point (4,8) in the equation. Remember that 4 is x and 8 is y.

[tex]8 = \frac{3}{2} (4)+ b[/tex]

Now solve for b

[tex]8 = \frac{12}{2} + b\\8 = 6 + b\\2 = b[/tex]

Next, write the full equation using the slope and y-intercept:

[tex]y = \frac{3}{2} x + 2[/tex]

I hope this helps!!

- Kay :)

Answer:

[tex]y=\frac{3}{2}x+2[/tex]

Step-by-step explanation:

The image below shows proof that the equation [tex]y=\frac{3}{2}x+2[/tex] is the line that passes through point (4, 8) and has a slope of [tex]\frac{3}{2}[/tex].

Hope this helps! :)

Answer:

8/5 portion of black shirt is there

it's 1 1/8 per hour.

Step-by-step explanation:

if it takes 1/3 hour to get 3/8, then if you add 6/8 which is the other 2/3 hour. you get 1 1/8

Answer:

C. $19.65

Step-by-step explanation:

You have to find 20% of $98.25

This is equal to,

20% * $98.25                Because of usually means multiplication

= .20 * 98.25                 Because .20 = 20%

= 19.65!

The smaller number is 14 and the larger number is 36.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Let the smaller number would be x

And the larger number would be y

Given that the smaller of two numbers is 2 less than 1/3 the larger

So x - 2 = (1/3)y ⇒ 3x - 6 = y

The sum of the two numbers is 50

So x + y = 50

Substitute the value of equation 3x - 6 = y in the above equation,

⇒ x + 3x - 6 = 50

⇒ 4x = 50 + 6

⇒ x = 56/4

⇒ x = 14

Substitute the value of equation x = 14 in the equation x + y = 50,

⇒ 14 + y = 50

⇒ y = 36

Hence, the smaller number is 14 and the larger number is 36.

Learn more about the equation here:

brainly.com/question/10413253

#SPJ4

Answer:

the answer is a

Step-by-step explanation:

because 60/6= 10

The equation pf a line in point slope form is as follows:

y - 4 = 2(x - 3)

The equation of a line in point slope form can represented as follows:

The line passes through (3, 4)(6, 10).

Therefore, the point slope form is as follows:

y - y₁ = m(x - x₁)

where

Therefore,

m = 10 - 4 / 6 - 3

m = 6 / 3

m = 2

Hence, the equation pf a line in point slope form is as follows:

y - 4 = 2(x - 3)

learn more on point slope equation here: https://brainly.com/question/223554

#SPJ1

Answer:

actually no.

Step-by-step explanation:

I assume you know the 4 inequalites:

The 4 Inequalities

Symbol      Words               Example

>          greater than        x+3 > 2

<             less than         7x < 28

≥ greater than or equal to 5 ≥ x−1

≤    less than or equal to 2y+1 ≤ 7

The "open circle" represents less than or greater than, and the "closed circle" represents greater than or equal to or less than or equal to.

Hope it helps! Have a great day! :) let me know if it helped

Answer:

No

Step-by-step explanation:

The first and 2nd answer are different because in the first one the circle is open and in the 2nd one the circle is closed. When the circle is open it means that the number that the circle is on is not a part of the asnwer. This is represented by < or > signs. When the circle is closed it means the number is included in the answer. This is represented by the [tex]\leq or \geq[/tex] symbol.

Answer:

8820 ways

Step-by-step explanation:

Given that :

Selecting 4 pairs of pant from 8 available and selecting 5 shirts from 9 available

Using combination :

4 pants from 8 = 8C4

5 shirts from 9 = 9C5

Recall:

nCr = n! / (n-r)! r!

8C4 * 9C5 = [8! /(8-4)!4!] * [9! /(9-5)!5!]

8C4 * 9C5 = (8! /4!4!) * (9! /4!5!)

8C4 * 9C5 = 70 * 126

8C4 * 9C5 = 8820 ways

Answer: B.

Step-by-step explanation: Remember, circumfrence is 2 pi r. multiply 6.1 and 2. That is 12.2. Then, use a calculator to multiply that to get approx 76.65. Round that up to 76.7.

Answer:

.6200

Step-by-step explanation:

3 rounds down to 0.

Answer: 0.62

Step-by-step explanation: 0.62

Answer:

a) The new ordered pairs are X' (-3, -7), Y' (-2, -10), Z' (-5, -2)

b) The new ordered pairs are X' (6, 9), Y' (7, 12), Z' (4, 4)

Step-by-step explanation:

∵ X = (-3, 7), Y = (-2, 10), and Z = (-5, 2)

∵ The points reflected in the x-axis

→ Change the signs of the y-coordinates of the 3 points

∴ X' = (-3, -7), Y' = (-2, -10), and Z' = (-5, -2)

a) The new ordered pairs are X' (-3, -7), Y' (-2, -10), Z' (-5, -2)

∵ X = (-3, 7), Y = (-2, 10), and Z = (-5, 2)

∵ The points translated to be (x + 9, y + 2)

→ That means add the x-coordinates by 9 and y-coordinates by2

∴ X' = (-3 + 9, 7 + 2), Y' = (-2 + 9, 10 + 2), and Z' = (-5 + 9, 2 + 2)

∴ X' = (6, 9), Y' = (7, 12), and Z' = (4, 4)

b) The new ordered pairs are X' (6, 9), Y' (7, 12), Z' (4, 4)

Answer: m<2 = 83 degrees

Step-by-step explanation:

The sum of angles on a straight line= 180 degrees

97 + <2 = 180

<2= 180 -97

    =  83 degrees

Answer:

3 goes on the x acsis 4 goes on the y axsis

Answer:

An elk was clocked running 45 miles per hour. Which equation shows the relationship between the distance, y, and time, x, that the elk ran? ... 17 QuestionsShow answers. Question 1. SURVEY ... Which mapping diagram represents a relationship that is a function? ... The equation y = 30x + 50 gives the cost y after x months.

Step-by-step explanation:

Answer:

Domain: [-4,5]

Range: [-3,5]

Step-by-step explanation:

Answer:

y = 2 for x < 0

     x for 0 ≤ x < 3

     3 for x ≥ 3

Step-by-step explanation:

From the graph attached,

Equation of line (1),

y = 2

Where x < 0

Let the equation of line (2) is,

y = mx + b

y-intercept 'b' = 0 [line (2) passes through origin]

Slope of the line 'm' = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

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

                                 = 1

Therefore, equation of line (2) will be,

y = x

where 0 ≤ x < 3

Equation of line (3) will be,

y = 3

Where x ≥ 3

Therefore, piecewise linear function will be,

y = 2 for x < 0

     x for 0 ≤ x < 3

     3 for x ≥ 3

Answer:

A

x=> -6 is the inequality that represents the answer best.

Answer:

Step-by-step explanation: for the first picture

a, d,

second picture

1.DA = ZW

2. CB=YX

3. XY = BC

4. 8

sorry not sure about 5 and 6 though

a. f(a) =5a+12

we have 1. a=6

Therefore, where ever we find a we'll substitute in 6

f(6) =5(6) +12

6f=30+12

6f=42

so therefore 1. a=6 will match c on the right

2. a=2

f(2) =5(2) +12

2f = 10+12

2f = 22

therefore 2. a=2 will match a on the right

3. a=4

f(4) =5(4) +12

4f=20+12

4f=32

therefore 3. a=4 will match d on the right

4. a=5

f(5) =5(5) +12

5f=25+12

5f=37

therefore 4. a=5 will match b on the right

Answer:

750 miles

Step-by-step explanation:

25+0.05x=40+0.03x

0.02x=15

x=750

Answer:

48.5 km/h

Step-by-step explanation:

speed = distance/time

distance =56km

time = 1814h - 1722h

time = 52 min = 52/60h =13/15h

speed = 56*13/15

speed = 48.53

into 1dp= 48.5 km/h

Answer =

So first remember the formula:

Distance/Time= Speed.

Now you see how many minutes it is from 17:22 to 18:14.

17:22 > 18.14 = 52 minutes, 1 Hour = 60 minutes. Hence, 52/60.

Then you get your calculator and do, 56 km/ 52/60

So what I mean is basically 56 km *fraction line* 52 *another fraction line* and then 60 in your calculator. Then you will get a fraction then press SD in your calculator.

You should get 64.6153....

Now the final step is to round it to the 1st decimal place, so

64.6|153 after 64.6 is the first decimal place which is (1) and 1 is below 5 so it will not go up and therefore stay the same so, your Answer is: 64.6 km/h.

Hope it helped!

Also Guys I gave myself 1 rating lol by accident, and also the answer is right since I checked it with my seniors and teachers!

Answer: Third option.

Step-by-step explanation:

We have the variables:

x =  number of roses that Sarah buys

y = number of carnations that Sarah buys.

Each rose costs $3, then the price for x roses is: x*$3.

Each carnation costs $1, then the price for y carnations is: y*$1.

The total price will be:

$3*x + $1*y

And she can spend no more than $75, then we have the inequality:

$3*x + $1*y ≤ $75

Writing this as a line, we have:

y ≤ 75 - 3*x

Then the graph of this will be:

A solid line with a negative slope and the shaded part will be below that line.

The value of y goes between 0 and 75.

The value x goes between 0 and the value of x such y = 0, this is:

y = 0 ≤ 75 - 3*x

 3*x ≤ 75

     x ≤ 75/3 = 25

Then the value of x goes between 0 and 25.

The correct option will be the third one.

The correct graph is option 3.

Given,

Sarah buys x no. of roses and y no. of carnations.

The cost of each roses be $3, so cost of x roses be 3 x .

And the cost of each carnations be $1, so cost of y carnations be y.

The total cost will be  [tex]3x + y.[/tex]

But as given in question she can spend no more than $75, so we have the inequality  [tex]3x + y \leq 75[/tex].

Writing the above equation as a line we have  [tex]y\leq 75-3x[/tex].

So graph of above line will be a solid line with a negative slope and the shaded part will be below that line so the value of y goes in between 0 and 75.

Now, value of x when y is o will be calculated from  [tex]y\leq 75-3x[/tex].

[tex]0\leq 75-3x[/tex]

[tex]3x\leq 75[/tex]

[tex]x\leq \frac{75}{3}[/tex]

[tex]x\leq 25[/tex]

Now we have values of x in between 0 and 25.

here we have y in between 0 and 75 with a negative slope and x in between 0 and 25. so the shaded part will be below that line goes in between 0 and 75 on y axis . option 3 has shaded part in between 0 and 75 on y axis  so the correct option is 3.

For more details on coordinate geometry follow the link:

https://brainly.com/question/18269861

Answer: 1/3x + 2 = 1 answer.) x=-3

0.75x - 0.5x = -3 answer.) y = 17

Step-by-step explanation:

;w;

Answer:

Step-by-step explanation: d

Answer:

53

Step-by-step explanation:

AED reflects over so the values are the same

Answer:

read the full answer

Step-by-step explanation:

To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.

Horizontal Shift: Right  2  Units

Vertical Shift: Up  5  Units

Reflection about the x-axis: None

Reflection about the y-axis: None

Vertical Compression or Stretch: Stretched

TO VIEW GRAPH TRY M-A-T-H-W-A-Y