How do you write an equation of a line so that it is parallel or perpendicular to a given point??

Answers

Answer 1

The equation of a line so that it is perpendicular to a given point will be

y-y0=[tex]\frac{-1}{m}[/tex] (x - xo)

The equation of a line so that it is perpendicular to a given point will be

y-y0=m (x - xo)

The standard equation of the line is better written in point-slope form expressed as:

y-y0=m(x - xo)

where: m is the slope of the given line (x0, y0) is any point of the giuven line.

m is the slope of the given line

(x0, y0) is any point on the given line

If the given slope of the  line is m, the slope of the line perpendicular will be expressed as -1/m

The equation of a line so that it is perpendicular to a given point will be

y-y0=[tex]\frac{-1}{m}[/tex] (x - xo)


Related Questions

solve one step equation

x/-2 = -3

Answers

If we’re solving for x, x=6

Answer:

x=6

Step-by-step explanation:

x/-2=-3

*-2    *-2

x=6

-hope it helps

Need help ASAP on #22 please!! Just #22. I couldn't take a proper picture of it because my hand was too shaky and I'm using P.C.

Giving Brainliest to a person who gets it right. I need an answer ASAP! This is my last question.

Answers

puzzle 1 and puzzle 3

PLEASE HELP!!! TRIG

The three solutions of the equation
f(x)=0 are 0°, 180°, and 360°.

Therefore, the three solutions of the equation f(x-30°)=0 are:

Answers

Answer:

30°, 210°, 390°

Step-by-step explanation:

Given

f(x ) = 0 has solutions 0°, 180°, 360° , then

f(x - 30) = 0

Add 30° to each of the solutions of f(x) = 0

(0 + 30)° = 30°

(180 + 30)° = 210°

(360 + 30)° = 390°

0.3(y+2)=1.7+(8-y) solve the following equation​

Answers

Answer:

y = 7

Step-by-step explanation:

0.3y+0.6 = 9.7 - y

0.3y+y = 9.7 -0.6

1.3y = 9.1

y= 7

sorry it had an error

write this equation in slope intercept form
(4, -3) (2, -9)

Answers

Answer:

[tex]y=3x-15[/tex]

Step-by-step explanation:

[tex]Slope=m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}=\frac{-9-(-3)}{2-4}=\frac{-6}{-2}=3[/tex]

[tex]y=3x+b[/tex]

[tex]-3=3(4)+b[/tex]

[tex]-3=12+b[/tex]

[tex]-15=b[/tex]

[tex]y=3x-15[/tex]

[tex]\text{Given that,}\\\\(x_1,y_1) = (4,-3),~\text{and}~ (x_2,y_2) = (2,-9)\\\\\\\text{Slope, m =} \dfrac{y_2-y_1}{x_2 -x_1} = \dfrac{-9+3}{2-4} = \dfrac{-6}{-2} = 3\\\\\\\text{Equation with given points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y -(-3) = 3(x-4)\\\\\implies y+3 = 3x -12\\\\\implies y = 3x -12 -3 \\\\\implies y = 3x -15\\\\\textbf{This is the slope - intercept form(y = mx +b), where m =3 and b =-15.}[/tex]

PLEASE HURRY!!!!!! WILL MARK BRAINLIEST TO FIRST ANSWER!!!!!!
Which relationship has a zero slope? A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3. A coordinate plane with a straight line starting at (negative 5, negative 5) and passing through the origin, and ending at (5, 5) A coordinate plane with a straight line starting iat (negative 2, 5) and passing the x-axis at (negative 2, 0), and ending at (negative 2, 5).

Answers

Answer:

Step-by-step explanation:

ABCD has vertices A(4, 0), B(0, 4), C(–4, 0), and D(0, –4). Determine whether ABCD is a rectangle, rhombus, or square. List all that apply.

Answers

Step-by-step explanation:

let's consider BA and CD as one pair of sides, and CB and DA as the second pair of sides.

the slope BA = -1

as x changes +4 (from 0 to 4), and y changes -4 (from 4 to 0).

the slope of CD = -1

as x changes +4 (from -4 to 0) and y changes -4 (from 0 to -4).

so, both lines are indeed parallel.

the slope CB = +1

as x changes +4 (from -4 to 0) and y changes +4 (from 0 to 4)

the slope of DA = +1

as x changes +4 (from 0 to 4) and y changes +4 (from -4 to 0)

so, these 2 lines are also parallel to each other and perpendicular to the first 2 lines (x and y in the slope ratio upside-down, and the sign is flipped).

therefore, we have only 90° angles here.

and the sums of the x and y coordinate differences are the same for every side, so all sides are equally long.

therefore, this is a square.

and with that it is automatically also a rectangle and a rhombus.

Pls po pahelpp ..... Kahit po paturo lng pra po matapos ko po

Answers

Answer:

ngee hirap Naman niyan sayang


A gym has yoga classes. Each class has 13 students. If there are c classes, write an equation to represent the total number of students s taking yoga.

Answers

If there are 13 students per class and c amount of classes then 13 times c is equal to the total amount of students. We also know s represents the total number of students.

Therefore algebraically speaking we can say:

13c=s

Subtract
-
Iw +
W + 4 from įw + 3
1w -
- 1
- 1w + 1
1w7
w + 7
- 1w + 7
aro

Answers

Answer:

what grade are u in so I know

As promised I I will be doing 100 points now please do NOT do anything that is not pertaining to the picture

Answers

Samir can make 5 sandwiches and still have 40 ounces of jelly left.
Samir can make roughly about 5 sandwiches. Samir has about 60 ounces of Jelly, if you subtract that by 40 that means he can only use 20. In this equation he would be using 4 ounces of jelly per sandwich.

Rosanne is making a swirled pudding dessert to bring to her friend's barbecue. She mixes
chocolate and vanilla pudding in a large bowl for the adults. Then, she decides to make a smaller
portion for the kids. In a small bowl, Rosanne mixes half the amount of chocolate pudding and half
the amount of vanilla pudding. Which bowl of pudding is more chocolaty?

Answers

Answer:

None of the bowls

Step-by-step explanation:

It's because the amount of chocolate and vanilla in the pudding is the same,

which is why both are chocolatey; none are more chocolatey

Answer:

none

Step-by-step explanation:

Given f(x) = 3x^2 + 2x – 1 and g(x) = 4x-5 find ( g of f) (-2)

Answers

Answer:

23

Step-by-step explanation:

Evaluate f(- 2) then substitute the value obtained into g(x)

f(- 2) = 3(- 2)² + 2(- 2) - 1 = 3(4) - 4 - 1 = 12 - 5 = 7 , then

g(7) = 4(7) - 5 = 28 - 5 = 23

[tex]\text{Given that,}\\\\f(x) = 3x^2 +2x -1\\\\f(-2)=3(-2)^2 +2(-2) -1 = 12-4-1=7\\\\g(x) = 4x -5\\\\\text{Now,}\\\\(g \circ f) (-2)\\\\=g(f(-2))\\\\=g(7)\\\\=4(7)-5\\\\=28-5\\\\=23[/tex]

Functions f(x) and g(x) are define below.

f(x) = -sqrt x+2-3
g(x) = -2|x-3|+4

determine where f(x) = g(x) by graphing.

Answers

Answer:

slope:1

y-intercept:(0,0

Answer:

x = -1 and x = 8.1

See image

Step-by-step explanation:

If you are allowed to use your graphing calculator, the directions "solve by graphing" means to graph the equations and look for the points where the two graphs intersect (cross) or if allowed, use an online graphing utility such as Desmos. It is really useful. If you may not use a calculator or desmos, then sketch a graph of the functions. Using transformations can help you sketch a graph fairly quickly. You should be memorizing the shape of the graph in its simplest form

y=sqrt x

And

y=|x|

Transformations then reflect, shrink or stretch, and shift sideways or up or down the graph. This is only if you're not allowed to graph it using technology. Remember that the solution is where the graphs cross. ...a little bit tricky: the answers only give the x value instead if two ordered pairs.

I need help with this is dont really understand it

Answers

Answer:

y = 10x + 6.

Step-by-step explanation:

y = mx + c

Here  the slope m = 10 and c = 6 ( the y-intercept)

It's 6 because the point (0, 6) lies on the y-axis (where x = 0).

Define a equilateral triangle

Answers

Answer:

All sides are equal

Step-by-step explanation:

Think: equilateral is equal so this must mean that something on the triangle has to be all equal.

The larger angle measures?
The smaller angle measures?

Answers

Answer:

Larger angle: 104 degrees

Smaller angle: 76 degrees

Step-by-step explanation:

(9x+5) + (6x+10) = 180

x = 11

evaluate if r=12 s= -4 t= -6
8-r/-2

Answers

Answer:

8-r/-2

8-12/-2

-4/-2

2

This is the answer

I think this will help you

the answer is 6 i think

Which of the following solution sets represent the inequality 3-1/2x>10?​

Answers

[tex]3- \dfrac 12 x >10\\\\\implies - \dfrac x 2> 10 -3\\\\\implies -\dfrac x 2 >7\\\\\implies -x > 14\\\\\implies x<-14\\\\\text{Interval solution,}~ (-\infty,-14)[/tex]

Ok done. Thank to me :>

A 6 character computer password is made up of 4 numbers followed by 2 letters. How many different passwords are possible? a. 810,000 b. 3,276,000 c. 6,500,000 d. 6,760,000 Please select the best answer from the choices provided A B C D.

Answers

The number of different possible passwords possible is 6760000

This is a question is the application of permutation. Permutation has to do with the arrangement.

If a computer consists of 6 character computer password that is made up of 4 numbers followed by 2 letters, the total digits and letters present are 6

The number of ways the passwords are possible is 10^4 * 26^2

10^4 * 26^2= 10000 * 676

10^4 * 26^2 = 6760000

Hence the number of different possible passwords possible is 6760000

Learn more on permutation here: https://brainly.com/question/25500566

Answer:

its D

Step-by-step explanation:

The Thomas family budgeted 8% of their annual disposable income of $32,725 on clothes. Vincent was allowed 22% of the amount budgeted. How much can Vincent spend annually on clothes?

A. $575.96
B. $2,618.00
C. $599.96
D. $340.88

Answers

Answer:

so first you add something and then subtract and then divide then you er butf then youcan see toplod ej

Hannah completed 40 problems in 32 minutes.
Put in a unit ratio

Answers

Answer: 1.25 problems/min and in ratio it is 1.25/1

We can keep the rate as problems/min

So, in 32 mins Hannah can complete 40 problems.

32 mins --> 40 problem

1 min --> 40/32

          --> 1.25

So, 1.25 problems can be created per minute.

Mike and Andy are each reading the same book. Mike read 2/4 of the book on Tuesday and 1/3 of the book on Wednesday. Andy read 1/2of the book on Tuesday and 1/5of the book on Wednesday.

Andy says that altogether he read more of the book on Tuesday and Wednesday than Mike.

Is Andy correct?

Answers

Mike read 5/6 altogether, 2/4+1/3=5/6. Andy read 7/10 altogether, 1/2+1/5=7/10.
Andy is not correct, 5/6 is greater than 7/10.

Scuba Steve dove to -20 meters to view the coral. He then ascended 12 meters before he paused to take in the sights of the beautiful fish. At what depth did he pause to see the fish? Write your answer as an integer.

Answers

Answer:

-8

Step-by-step explanation:

What is the distance between -10 and 17 on the number line?

Answers

Find the difference:

17 - (-10) = 27

So the distance between 17 and -10 is 27.

Answer: 27

Step-by-step explanation:

Ivan is taking a 179 mile trip by car.If he drives for two hours with an average speed of 65 miles per hour, how many miles will he still need to drive to complete his trip?

Answers

Answer: 40 is the answer

Explanation: He is driving 65 miles an hour so 65+65=130 and you subtract that from 179, so 179-130 and it equals 40

Answer:

you should take notes

Step-by-step explanation:

why you should know this your teacher probally already taught you this already you should go back and take notes = )

How does a domain restriction placed on a non-invertible function affect its inverse? Drag a function or an interval into each box to correctly complete the statement. When the domain of the non-invertible function f(x)=(x+1)^2−3 is [−1,∞), the inverse of the function is Response area, and the domain of the inverse function is

Answers

Using inverse function concepts, it is found that:

The inverse of the function is [tex]y = \sqrt{x + 3} - 1[/tex], and the domain of the inverse function is [tex][-3, \infty][/tex].

A function will have an inverse if for each output, there is only one respective input.The domain of the inverse is the range of the original function.

The function given is:

[tex]f(x) = (x + 1)^2 - 3[/tex]

It's range is [tex][-3, \infty][/tex], which will be the domain of the inverse.

To find the inverse, we exchange x and y, and isolate y, then:

[tex]y = (x + 1)^2 - 3[/tex]

[tex]x = (y + 1)^2 - 3[/tex]

[tex](y + 1)^2 = x + 3[/tex]

[tex]\sqrt{(y + 1)^2} = \sqrt{x + 3}[/tex]

[tex]y + 1 = \sqrt{x + 3}[/tex]

[tex]y = \sqrt{x + 3} - 1[/tex]

The inverse of the function is [tex]y = \sqrt{x + 3} - 1[/tex], and the domain of the inverse function is [tex][-3, \infty][/tex].

A similar problem is given at https://brainly.com/question/13160937

Answer:

Step-by-step explanation:

167<6+7(2+7r)
what is it please help

Answers

Answer:

3 < r

Step-by-step explanation:

167<6+7(2+7r)

distribute the 7 to the 2 and 7r

7 * 2 = 14 and 7 * 7r = 49r

167 < 6 + 14 + 49r

combine like terms: 6 + 14 = 20

167  < 20 + 49r

subtract 20 from both sides

147 < 49r

divide both sides by 49

3 < r

Determine if the graph represents a linear function, quadratic function, or exponential function.



Group of answer choices

Exponential

Linear

Quadratic

Answers

Answer:

Step-by-step explanation:

Answer:

quadratic function

Step-by-step explanation:

y=(x-1)²-3

Gordon types 2,584 words in 38 minutes.

Answers

Answer:

Gordon types 68 words per minute

Step-by-step explanation:

2584/38=68

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