Write an equation of the line with a slope of 3/4 and a y-intercept of -2.​

The diagram of the pentagon is missing, so i have attached it.

Answer:

|AE| = 130 m

|DE| = 150 m

Perimeter of pentagon = 720 m

Step-by-step explanation:

From the diagram, we can find AE from pythagoras theorem;

|AE| = √(|AA'|² + 50²)

Where AA' is the length from A to the perpendicular angle.

Now, AB = 150, and A'B is parallel to 30 m. Thus, A'B = 30

AA' = AB - A'B = 150 - 30

AA' = 120

Thus;

|AE| = √(120² + 50²)

|AE| = √(14400 + 2500)

|AE| = √16900

|AE| = 130

Similarly,

|DE| = √(|DD'|² + |ED'|²)

ED' = BC - 50

ED' = 140 - 50

ED' = 90

Also, DD' is parallel to AA' and is = 120

Thus;

|DE| = √(120² + 90²)

|DE| = √22500

|DE| = 150

Perimeter of pentagon = 150 + 130 + 150 + 150 + 140 = 720

Answer:

Thus, the dimensions of the metal plate are 10 dm and 8 dm.

Step-by-step explanation:

For a quadratic equation:

[tex]x^2+bx+c=0[/tex]

The sum of the roots is -b and the product is c. Note the leading coefficient is 1.

We know the perimeter of the rectangular metal plate is 36 dm and its area is 80 dm^2. Being L and W its dimensions, then:

P=2(L+W)=36

A=L.W=80

Note both formulas are closely related to the roots of the quadratic equation, we only need to adjust the data for the perimeter to be exactly the sum of L+W and not double of it.

Thus we use the semi perimeter instead as P/2=L+W=18

The quadratic equation is, then:

[tex]x^2-18x+80=0[/tex]

Factoring by finding two numbers that add up to 18 and have a product of 80:

[tex](x-10)(x-8)=0[/tex]

The solutions to the equation are:

x=10, x=8

Thus, the dimensions of the metal plate are 10 dm and 8 dm.

Answer:

iam sorry but furries are good lg!!!

Furry can have two definitions. A furry is either an anthrophomorphic animal which has human characteristics or a person that shows interest in furries. If you draw other people's fursona, i don't think that makes you a furry tbh. If you show interest and if you have your own fursona and you're passionate about it, however, then yeah you're pretty much a furry. Being a furry isn't bad honestly, it's just a hobby. I'm a furry myself and i honestly love this fandom. I met a lot of great people!

Answer:

I think it's 11

Step-by-step explanation:

11 times 3 is 33 minus 8 is 25 and 25 is greater than 22

Answer:

h > 10

Step-by-step explanation:

3h-8>22

1. Separate the coefficient and variable.

Separate 3h, we'll save that for later.

2. Use inverse operations and apply it to both sides of the equation.

In this case, it is subtraction, so we will add 8 to both sides of the equation.

3h - 8 > 22

    + 8   + 8

That gives us 3h > 30, because the 8 and 8 cancels out.

3. Use inverse operations. (3h and 30.)

In this case, it is multiplication, so we will divide 3 from both sides of the equation.

3/3 > 30/3

30 divided by 3 is 10, therefore, the answer is h > 10

(Since we did not divide 30 with a negative number, the sign stays the same, and it is not switched.)

Answer:

x = number of students in the van = 14

y = number of students in the bus = 37

Step-by-step explanation:

Let

x = number of students in the van

y = number of students in the bus

14x + 2y = 270 (1)

9x + 9y = 459 (2)

Multiply (1) by 9 and (2) by 2

126x + 18y = 2,430 (3)

18x + 18y = 918 (4)

Subtract (4) from (3)

126x - 18x = 2,430 - 918

108x = 1,512

x = 1,512 / 108

= 14

x = 14 students in each van

Substitute x = 14 into (1)

14x + 2y = 270

14(14) + 2y = 270

196 + 2y = 270

2y = 270 - 196

2y = 74

y = 74/2

= 37

y = 37 students in each bus

x = number of students in the van = 14

y = number of students in the bus = 37

Answer:

I think its the green one

Step-by-step explanation:

if you get it wrong sorry

Answer: The cat is 4 years old, and the dog is 6 years old.

Step-by-step explanation:

We know that Buddy is 2 years old than Fluffy.

And 3 years ago, Buddy was 3 times older than Fluffy.

Let's define the variables:

B = age of Buddy

F = age of Fluffy.

The first statement can be written as:

B = F + 2

The second statement can be written as:

B - 3 = 3*(F - 3)

To solve this, we can replace the first equation into the second one, and solve that for F

B - 3 = 3*(F - 3)

(F + 2) - 3 = 3*F - 9

F - 1 = 3*F - 9

-1 + 9 = 3*F - F

8 = 2*F

8/2 = 4 = F

Fluffy is 4 years old, and with the first equation we can find the age of Buddy.

B = F + 2 = 4 + 2 = 6

Buddy is 6 years old

The required age of the dog buddy is 6 years old and the age of cat fluffy is 4 years old.

Given ,

James's dog buddy is 2 years older than Fluffy,

And the neighbor's cat Three Years ago, Buddy was three times older than fluffy.

Let ,

The age of buddy = B

The age of fluffy is = F

According to the question ,

Buddy, is 2 years older than Fluffy= Age of Buddy = Age of fluffy + 2 years older.

B = F +2

Again According to the question,

Three years ago age of Buddy = B - 3

Three years ago age of Fluffy = F - 3

Three years ago Buddy was three times older than fluffy = Three years ago age of Buddy = 3 × Three years ago Age of fluffy

B - 3 = 3 ( F - 3 )

Solving the equations,

B - 3 = 3 ( F - 3 )

Put the value of B from equation 1

F + 2 - 3 = 3 ( F -3 )

F - 1 = 3F - 9

F - 3F = - 9 +1

-2F = -8

2F = 8

[tex]F = \frac{8}{2}[/tex]

F = 4

The age of fluffy is 4 years old.

Then ,

The age of buddy

B = F + 2

B = 4 + 2

B = 6

The age of buddy is 6 years old.

The required age of the dog buddy is 6 years old and the age of cat fluffy is 4 years old.

For more information about system of equation click the link given below.

https://brainly.in/question/27545639

9514 1404 393

Answer:

  "similar"

Step-by-step explanation:

Congruent polygons will have corresponding sides in the ratio 1:1, but they must also have identical corresponding angles. The description of figures with identical corresponding angles (along with proportional sides) is that they are "similar".

  Congruent polygons are similar polygons for which the ratio of the corresponding sides is 1:1.

[tex] \: \: \: \: \: \: \: \: \: \: 4y - 2(3y - 5) \\ \\ = > 4y- 6y + 10 \\ \\ = > \green{\boxed{ - 2y + 10}}[/tex]

Answer:

-8.4,-8,8,8.4

Step-by-step explanation:

Answer: The monthly salary of Shenika is less spread out than the monthly salary of Clarissa.

Step-by-step explanation:

Hi. Your question isn't complete but I got something close to it online.

The monthly mean salaries and standard deviations of four college students are given below. student mean standard deviation clarissa $345 12.53 abi $598 8.99 kaila $812 15.29 shenika $208 7.67 which statement must be true?

We can see that while Shenika has a mean of $208 and a standard deviation of 7.67, Clarissa has a mean of $345 and a standard deviation of 12.53. This simply means that monthly salary of Shenika is less spread out than the monthly salary of Clarissa.

Answer:

A - The monthly salary of Shenika is less spread out than the monthly salary of Clarissa.

Step-by-step explanation:

edge

Answer:

Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6.

Answer:

See below.

Step-by-step explanation:

This question makes no sense.

Here is the question. Pay attention to the words in boldface.

"In order to write the equation of the line passing through the point (-2, 2) that is parallel to the line y = 2x + 3 , the next step is to find the y-intercept of the perpendicular line. What is the y-intercept of the perpendicular line through point (-2, 2)?"

Is the question asking for the parallel line or the perpendicular line?

Answer:

Each song is 2.3 minutes long

Step-by-step explanation:

55/24=2.3

Step-by-step explanation:

angle ABD = 180 - 116 = 64° (angles on a straight line are supplementary)

angle x = 2(64) = 128° (angle at centre = 2angle at circumference)

Topic: Circle properties

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

Answer:

3:5 or 3/5 is equal to 30:50 or30/50

so the answer is 50 chocolate cones

Answer:

510.1

Step-by-step explanation:

convert m to km by dividing by 1000 and add all of the numbers together

Step-by-step explanation:

hii, im good and ur the best. thank uuuu oncemore..

Answer:

60

Step-by-step explanation:

Hope this helped!

Answer:

60

Step-by-step explanation:

Answer:

Goodnight!!! :)

Step-by-step explanation:

Answer:

x=6.25

Step-by-step explanation:

What you do is add up all the angles equal to 180 because a triangle always adds up to 180 degrees and you are given all angles.

Answer:

x = 25/4

General Formulas and Concepts:

Pre-Algebra

Geometry

Step-by-step explanation:

Step 1: Set up equation

(22x + 1)° + (6x - 17)° + (4x - 4)° = 180°

Step 2: Solve for x

Answer:

13.142

Step-by-step explanation:

The sum of the decimal numbers will be 13.142.

What is Decimal number?

A decimal number is a number that consists of a whole and a fractional part.

Given that;

The expression of the decimal numbers are,

⇒ 6.338 + 2.705 + 4.099

Now,

Since, The expression of the decimal numbers are,

⇒ 6.338 + 2.705 + 4.099

Add the numbers as;

 6.338

 2.705

+4.099

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

13.142

Thus, The sum of the decimal numbers will be 13.142.

Learn more about the decimal number visit:

https://brainly.com/question/24342270

#SPJ6

Answer:

[tex]p=39.4[/tex]°

Step-by-step explanation:

[tex]4a+4+75+p=180[/tex] (The sum of angles on a triangle is [tex]180[/tex]°)[tex]4a+p=180-4-75[/tex]

[tex]4a+p=101[/tex]

[tex]p+9a+2=180[/tex]  (Angles of a straight line sums to [tex]180[/tex]°)

[tex]p + 9a = 178[/tex]

Elimination can be used to find the value of one variable:

[tex]p+9a-(4a+p)=178-101[/tex]

[tex]5a = 77[/tex]

[tex]a=15.4[/tex]

Now, the value of [tex]p[/tex] can be found by using substitution:

[tex]4a+p = 101[/tex]

[tex]4(15.4)+p=101[/tex]

[tex]p = 101-61.6[/tex]

[tex]p = 39.4[/tex]

I hope this helps :)

Answer: C

Step-by-step explanation:

Supplementary angles add up to 180

x + 83 = 180

x= 97

Answer:

y = 12x + 10

Step-by-step explanation:

The equation of the line in slope-intercept form is y = 12x + 10.

The slope or gradient of a line in mathematics is a numerical representation of the steepness and direction of the line.

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope and b is the y-intercept.

Given that the slope is 12 and the y-intercept is 10, we have:

y = 12x + 10

Therefore, the equation of the line in slope-intercept form is y = 12x + 10.

To learn more about the slope;

brainly.com/question/3605446

#SPJ2

Step-by-step explanation:

hope this helps, happy learning!!!

Answer:

Angle 1 - 24 degrees

Angle 2 - 48 degrees

Angle 3 - 66 degrees

Angle 4 - 66 degrees

Angle 5 - 24 degrees

Angle 6 - 66 degrees

Angle 7 - 132 degrees

Step-by-step explanation:

I wanted to get this too you as fast as possible. I will add a detailed explanation in the comments.