SIMPLE COORDINATES!!!! HELP FASTTT

9514 1404 393

Answer:

  3x + 2y = 0   or   y = -3/2x

Step-by-step explanation:

The relationship between a line and its perpendicular is that their slopes are opposite reciprocals of each other. So, the thing you need to know about the line through the two given points is its slope. That is found using the slope formula:

  m = (y2 -y1)/(x2 -x1) . . . . . . where the two give points are (x1, y1) and (x2, y2)

Putting your point coordinates in this formula gives ...

  m = (5 -3)/(5 -2) = 2/3

Then the perpendicular line will have a slope that is the opposite reciprocal:

  slope of perpendicular = -1/m = -1/(2/3) = -3/2

You have not said whether the perpendicular line must meet any other requirement, so the simplest one we can write is ...

  y = mx + b . . . . . m is the slope and b is the y-intercept

  y = -3/2x . . . . . . has a y-intercept of 0 (goes through the origin)

Multiplying by 2 and adding 3x gives ...

  3x + 2y = 0 . . . . . standard form equation

_____

Comment on the attachment

The geometry program I used to create the attachment wrote the equation of the line through the given points as ...

 2x -3y = -5 . . . . . standard form equation

The equation of a perpendicular line can be created from this form by swapping the x- and y-coefficients and negating one of them. Simply swapping the coefficients would give ...

  -3x +2y = <something>

In standard form, we want the leading coefficient to be positive, so we can choose to negate the x-coefficient. The <something> can be zero to make the line go through the origin.

  3x +2y = 0 . . . . . a perpendicular in standard form

__

If you need to have the line go through a particular point, you can determine the constant value (on the right of the = sign) by putting the point coordinates in for x and y.

_____

Method summary:

Answer:

B I think

Step-by-step explanation:

Answer:

Decimal form:

2.10526315789

Step-by-step explanation:

Answer:

Yes, it is arithmetic with the common difference 2.

Step-by-step explanation:

10-8=2

8-6=2

6-4=2

etc.

Answer:

F and G are both 112

Step-by-step explanation:

The 4 angles of a trapezoid add up to 360 degrees. Since you already have the two 68 degree angles, add them together to get 136/ Subtract this from 360 to get 224, then divide that by 2 to get the last two angles as 112 degrees each.

Answer: <F = 68˚, <G = 112˚, <H = 112˚

Since the trapezoid is isosceles,  <F = <J = 68˚, and <G = <H. To solve for the remaining angles, we note that the sum of all angles in a quadrilateral is 360˚, so <F + <J + <G + <H = 360˚. Plugging in <F = <J = 68˚, we have <G + <H = 360˚ - 2 × 68˚  = 224˚. Since <G = <H, they are both equal to 224/2 = 112˚.

i hope this helps! :D

Answer: 26.55°C

Step-by-step explanation:

Average daily maximum temperature in Syracuse = 21.85°C

Average daily minimum temperature = -4.7°C

In order to solve the question, we calculate the difference between the two temperature given. This will be:

= 21.85°C - (-4.7°C)

= 21.85°C + 4.7°C

= 26.55°C

Answer:

9/10, 0.9, 90 percent

Step-by-step explanation:

Answer:

Step-by-step explanation:

Equation of a line giving 2 points is

y-y1=m(x-x1) where m is the slope and (x1,y1) is one of the points.

First we have to find the slope using formula

(y2-y1)/(x2-x1) where (x1,y1) and (x2,y2) are the points given

Slope m is (4-13)/(8--4) =-9/12 = -3/4

Looking at the answer choices, the only slope intercept equation that use the slope -3/4 is answer choice A

Step-by-step explanation:

i can give you a hint

1)divide into two triangles

2) then find each angle

3) use sine laws to find sides

Step-by-step explanation:

When a number is grouped with the x in this problem it will move the graph right (if it is is minus) and it will

move it left ( if it is plus), therefore the original graph will be move to the left 5 units.

Answer:

2 2/4

Step-by-step explanation:

because I guess they want you too add so I added them

Answer:

260 cities

Step-by-step explanation:

Multiple 5 and 52

James would visit 260 cities in one year.

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

1 year = 52 weeks

James visits 5 cities per week.

To find the number of cities in e one year:

Multiply by 52

52 x 5

= 260 cities.

Therefore, he would visit 260 cities.

To learn more about the multiplication;

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Answer:

183

Explanation:

462, 453, 444

Always start by subtracting the consecutive numbers.

462 - 453 = 9

453 - 444 = 9

Normally you can see a patron, and here there his is no exception :-).

You can construct the next number by subtracting 9 of the previous number in the sequence.

462 - 9

453 - 9

444 - 9

435 and so on...

If you want to find the 4th term then you need to multiply the 3rd by 9 and subtract it from the first term.

When you start with 462 - (3*9) you get 462 - (27) = 435

The same goes for the 32 term...

When you start with 462 - (31*9) you get 462 - (279) = 183

Answer:

24 kilometers

Step-by-step explanation:

1.2 kilometers per minute; 12 kilometers

Step-by-step explanation:

We know that 60 minutes makes 1 hour.

Therefore, to convert the speed to kilometers per minute, we simply divide 72 kilometers per hour by 60 minutes:

72 / 60 = 1.2 kilometers per minute.

Distance is given as speed multiplied by time.

Therefore, in 10 mins, the car travels:

1.2 * 20 = 24 kilometers.

Answer:

The length of the hypotenuse = 25 inches

Step-by-step explanation:

A right triangle has leg lengths of 7 inches and 24 inches.

Given

Pythagorean Theorem

For a right-angled triangle with sides 'a' and 'b', the hypotenuse 'c' is

defined as:

[tex]c=\sqrt{a^2+b^2}[/tex]

so substituting the values

[tex]c=\sqrt{7^2+24^2}[/tex]

[tex]c=25[/tex] inches

Thus, the length of the hypotenuse = 25 inches

Answer:

10. x= 10 y=sqrt 200

11. x=y=450

12. x=19 y=sqrt 1083

13. x=sqrt 48 y=sqrt 12

Step-by-step explanation:

10.

x and 10 are the same

10^2+10^2=200

sqrt 200 is not a whole number so y is just sqrt 200

11.

30^2=2x^2 because x and y are the same

x^2=450

sqrt 450 is not a whole number so x and y are just sqrt 450

12.

x= 38 divided by 2=19

38^2=19^2+y^2

1444=361+y^2

y^2=1083

sqrt 1083 is not a whole number so y is just sqrt 1083

13.

x^2=(x/2)^2+36=x^2/4+36

x^2=48

sqrt 48 is not a whole number so x is just sqrt 48

y is half of x so it is sqrt 12

Answer:

its b

Step-by-step explanation:

Given:

Table of values.

The train travels at a constant speed.

To find:

The speed of train in miles per hour.

Solution:

From the given table consider any two points, i.e., (0.5,22.5) and (1,45).

The train travels at a constant speed. It means, there is a linear relationship between time and distance.

The average rate of change (Slope) of a linear relationship is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{45-22.5}{1-0.5}[/tex]

[tex]m=\dfrac{22.5}{0.5}[/tex]

[tex]m=\dfrac{225}{5}[/tex]

[tex]m=45[/tex]

So, average rate of change in distance with respect to time is 45.

Therefore, the speed of the train is 45 miles per hour.

Answer:

im sorry this looks difficult

my homework is the same

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

2/6=1/3

Answer: 2/3 is the answer

Answer:

step 1-  (3x2 +  h) +  2c

step 2- 2.1    Factoring    3x2 + h + 2c

Also, Try to factor this multi-variable trinomial using trial.

Therefor the expresion is -1

Step-by-step explanation:

Hopefuly this helped! :)

Answer:

AB                              ab                            ab                    ab

Step-by-step explanation:

Answer:

D) -3 5/8 > -4 3/5

Step-by-step explanation:

Hope this helps. Pls give brainliest.

Answer:

[tex]P=19y+15[/tex]

Step-by-step explanation:

Step one:

Given data

dimension of the rectangle

Width = 8y-1.5

Length = 1.5y+9

Required

The expression to represents the Perimeter

Step two:

the perimeter of  a rectangle is expressed as

[tex]P= 2L+2W\\\\P=2(1.5y+9)+2(8y-1.5)\\\\P=3y+18+16y-3\\\\[/tex]

collect like terms

[tex]P=3y+16y+18-3\\\\P=19y+15[/tex]

Answer:

[tex]\frac{2}{5}[/tex]

Step-by-step explanation:

Answer:

|14,494.2 - (-282.6)| = 14,776.8

Step-by-step explanation:

Make sure to write the comma ","

I hope this helps! :)

The distance between Mt. Whitney and Death Valley is 14,776.8.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The rise of Mt. Whitney is around 14,494.2 feet above ocean level. The rise of Death Valley is around 282.6 feet beneath ocean level.

The distance between Mt. Whitney and Death Valley is written as,

⇒ 14,494.2 - (-282.6)

⇒ 14,776.8

The distance between Mt. Whitney and Death Valley is 14,776.8.

More about the Algebra link is given below.

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Answer:

Two angles are called complementary when their measures add to 90 degrees. ∠1 is 60 degrees ∠2 is 30 degrees so if you add it up, the answer is  90 degrees.

∠4 + ∠3 = answer has to be 90 degrees to call it a complementary angle

30 degrees + 60 degrees = 90 degrees

divide $4.50 by 5 .......