Write the equation of the line that passes through the point (4,5) and is perpendicular to the graph of y=2x-3

Answers

Answer 1

Hello there! :)

We are given that the line passes through the point (4,5) and that it's perpendicular to the line y=2x-3.

Perpendicular lines have slopes that are opposite reciprocals.

This means we take a number, make it negative, and flop it over:

2

-2

-1/2

So the slope of the line perpendicular to y=2x-3 is -1/2.

Now, we have the slope and a point that the line passes through, so we can write the equation in point-slope form, which looks like so:

y-y1=m(x-x1)

Where

y1 is the y-coordinate of the point

m is the slope

x1 is the x-coordinate of the point

Now, let's plug our values into the equation:

y-y1=m(x-x1)

y-5=-1/2(x-4)

y-5=-1/2x+2

y=-1/2x+2+5

y=-1/2x+7

Hence, that is the equation of the line.

Hope it helps.

~A lonely teen who helps others with a smile

-Grace :-)

Good luck.


Related Questions

Plzzzz help mee plzzzzz plzzzzz

Answers

Answer:

1. B

2. Seven Hundred thousand nine hundred and four

Step-by-step explanation:

A car is traveling at 55km/hr and has a mass of 1200 kg. What is the momentum of the car?
Thank you for whoever solves this, I will make sure to add brainliest if possible

Answers

Answer:

  66,000 kg·km/hr

Step-by-step explanation:

  p = mass × velocity

  p = (1200 kg) × (55 km/hr) = 66,000 kg·km/hr

_____

Additional comment

Here, we have used the standard metric units for momentum. The units you choose can be any mass·velocity units that meet your needs.

WILL GIVE BRAINLIEST!!
Which is one solution, no solution, and infinite solutions?

3(4x-2) = 12x - 6
3(4x-2)= -12x - 6
-3(4x-2) = -12x - 2

Answers

Step-by-step explanation:

3(4x - 2) = 12x - 6

12x - 6 = 12x - 6

that is always true, no matter what value we pick for x.

so, this has infinite many solutions.

3(4x - 2) = -12x - 6

12x - 6 = -12x - 6

24x = 0

x = 0

this has one solution.

-3(4x - 2) = -12x - 2

-12x - 6 = -12x - 2

-6 = -2

this is never true, no matter what value we pick for x.

so, this has no solution at all.

Answer:

see below

Step-by-step explanation:

Hi!!

Here's how I found it:

First, I simplified all my equations.

1.12x-6=12x-6

2.12x-6=-12x-6

3.-12x+6=-12x-2

#1 has infinite solutions, given that the equations are identical to eachother. Any value of x will sufice.

#2 can be simplifed with algebra.

Cancel out the -6, since it is on both sides.

we are left with 12x=-12x, which can be solved with the value of 0. This has one solution.

#3 can also be simplifed using algebra.

Cancel out the -12x, since both sides have that.

you are left with:

6=-2

this will never have a solution, therefor, it is no solution.

HELP PLEASE!! What are the answers, say the answers to the blanks and if you can please try to explain it please i failed algebra 3 times and i really need help

Answers

Answer:

step: 4(x-24x)to the power of 2 = 3-7 or -4

Step-by-step explanation:

solution: solve it

would love to have a second opinion, this is what i got.

Tina needs 36 flowers for her next project. The flowers are sold in bunches
of 5.How many bunches will she need?

Answers

She will need at least 8 bunches

The model represents x2 â€" 9x 14. An algebra tile configuration showing only the Product spot. 24 tiles are in the Product spot: 1 is labeled x squared, 9 are labeled negative x, and 14 are labeled. Which is a factor of x2 â€" 9x 14? x â€" 9 x â€" 2 x 5 x 7.

Answers

The factors of the given model are (x+2) and (x+7)

Given the representation of the model expressed as;

[tex]x^2+9x+14[/tex]

To get the factors, we will factorize the given quadratic function as shown:

[tex]g(x) = x^2+2x+7x+14[/tex]

Group the functions to have;

[tex]g(x) = (x^2+2x) + (7x+14)\\[/tex]

Factor out the GCF from both parenthesis:

[tex]g(x) = x(x+2)+7(x+2)\\g(x)=(x+2)(x+7)[/tex]

Hence the factors of the given model are (x+2) and (x+7)

Learn more on factorization here: https://brainly.com/question/25829061

NO LINKS PLEASE. 18 POINTS! WHAT IS THE ANSWER TO 5 and 6 IN THE SCREENSHOT? PLEASE HURRY! P.S. BRAINLIEST

Answers

Answer:

#5 -1.75, 2.5, -0.2

#6 3 1/2, 2 1/4, -1/2

Step-by-step explanation:

Well when the opposite they mean if the number is positive it becomes negative, and if is negative it becomes positive. very simple happy to help :)

Work out 247 as a percentage of 380.

Answers

Answer:

65%

Step-by-step explanation:

You can use the equation " is over of " to solve this. 247/380 * ?/100. After simplifying, you get 24700/380  which equals 65%.

Brainliest would be appreaciated! :-)

I think the answer is 65%. Hope that helps.

Find the equation of the line passing through the point (-1,0) and parallel to the line
y=-1/2x+3/7

A) y= 2x + 2

B) y = -1/2-1/2

C) y = 1/2x+1/2

D) y = - 1/2x+1/2

Answers

Answer:

B) y= -½x -½

Step-by-step explanation:

Slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept.

[tex]y = - \frac{1}{2} x + \frac{3}{7} [/tex]

Slope of given line= -½

Since parallel lines have the same slope, slope of unknown line= -½.

y= -½x +c

To find the value of c, substitute a pair of coordinates into the equation.

When x= -1, y= 0,

[tex]0 = - \frac{1}{2} ( - 1) + c[/tex]

[tex]0 = \frac{1}{2} + c[/tex]

[tex]c = - \frac{1}{2} [/tex]

Thus, the equation of the line is y= -½x -½.

Which table of values would produce the graph shown above?

Answers

The answer to your question is B.

solve for x -22=-7+3/5x

Answers

X-22=-7+3/5x
Answer x= 75/2
Explanation:

X-22=-7+3/5x multiply both sides of the equation my 5
5x-110= -35+3x

Move the variable to the left-hand side and change its sign
5x-110-3x= -35

Move the constant to the right-hand side and change its sign
5x-3x= -35+110

Collect like terms
2x= -35+110

Calculate the sum
2x=75

Divide both sides of the equation by 2
x=75/2

Answer x=75/2

For 1-3 write an equivalent expression
1.) -3(7+5g)
2.) (x+7)+3y
3.) 2/9-1/5*x

Answers

Answer:

1) (3 7 3 5 g)

2) 7+x+3⋅y

3) 2/9 x/5

-3 ( 7 + 5 g) = -21 - 15 g = -15 g - 21(x + 7) + 3y = x + 3y + 7[tex] \frac{2}{9} - \frac{1}{5} x \\ = > \frac{10-9x}{45} \\ = > \frac{-9x+10}{45} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

help QUICK PLS 12 POINTS JUST PLS

Answers

Answer:

The answer is 8.025.

Hope that helps. x

Yup, the guy above me is correct.

Solve for percent change: On Monday, Cynthia raised $75 for her charity.
On Tuesday, Cynthia raised $95 for her charity. What is the approximate
percent change? *

Answers

Let p = percent change

p = (new amount)/(original amount) • 100

p = (95 - 75)/75 • 100

p = 20/75 • 100

p = 26.666667

p = 26.6%

Done.

are these equations equal ?

1. 5x^2 + 15 and 5 (x^2 + 3 )

2. 3y^2 + 6x^2 and 3 (y^2 + 2x^2)

Answers

yes.

explanation:
for the first one, you can factor out a 5 leaving you the same answer as the other one
and for the second one, you can factor out a 3, leaving you the same answer

hope it helps!

A bag of 12 oranges weighs 4 1/2 pounds, if the oranges are about the same size, how many pounds does each orange weigh





25 POINTS

Answers

0.385

Take the weight of the bag and divide it by the number of oranges in the bag (12) which is:

4.5 / 12 = 0.385

Each orange weighs 0.385 pounds.

Your answer would be 7 7/8 pounds


.hope this helps!

piecewise functions. please help it’s for a test. please write the tables! i will give out brainliest!!

Answers

Answer:

Second Table:

1 | 0

3 | -2

Sorry I can’t do the rest I have to go study for my midterm! Hope this helps a bit

Step-by-step explanation:

what does it mean when the will says tomorrow it's ashes will be scattered to the four winds in the westing game

Answers

Answer:

In the document, Westing names the sixteen heirs present as his “nieces and nephews” and says that tomorrow his ashes “will be scattered to the four winds.” He then asserts that his life has been taken by one of his heirs, and he promises that the heir who finds something will receive the inheritance

Step-by-step explanation:

 

Westing names the sixteen heirs present as his “nieces and nephews” and says that tomorrow his ashes “will be scattered to the four winds.” He then asserts that his life has been taken by one of his heirs, and he promises that the heir who finds something will receive the inheritance.

What are the main events in The Westing Game?

The main events in the Westing Game include moving into Sunset Towers, the Halloween dare, the reading of Samuel Westing's will, and the pairing of teams. Finally, the solving of clues and ultimately solving the puzzle.

Who Wins The Westing Game?

Several years after that, Turtle stays with Sandy/Westing (as Eastman) while he really dies. She finally wins the prize and goes to play chess with her niece Alice.

Learn more about the Westing Game here: brainly.com/question/16545687

#SPJ2

Any help wit this ? Cause I’m kinda confused

Answers

Answer:

D. The hiker would climb up 46 meters

Step-by-step explanation:

It would make the negative cancel out and would make it 0. 0 is sea level

Answer:

D the hiker would climb up 46 meters.

Step-by-step explanation:

If the hiker is -46 meters from sea level, that means the hiker is 46 meters BELOW sea level. For them to return to sea level, they would have to increase their elevation 46 meters by going up 46 meters, to make it to sea level.

HELP WITH MATH!! MARKUPS AND MARKDOWNS! I’LL PUT BRAINLIEST IF ITS CORRECT!

Answers

Answer:

1. $62.50

2. $41.25

3. $90.35

4. $2,160

5. $343

6. $66,602.25

7. $220

Step-by-step explanation:

I could use some help answering this math problem!!

Answers

Answer:

b

Step-by-step explanation:

2x is the same as 2 times x and if x represents the coaches uniform and the uniform is 2 times the cost of the players then the answer is b 2x

What is the slope of the following line?

Answers

The slope of the line is 1/-2

You only have to rise one time, then go over to the left two times in order to get to another point.

Help me ;-;

Find (2)(‐3)

Answers

-6
Would be your answer

b89a4ed3c54f7a92e4c4c9dc4
3283b6a.jpeg
Find the area of the shape shown below.

Answers

Answer:

28 units.

Step-by-step explanation:

Area of square + Area of triangle + Area of rectangle = Area of figure shown

=> (4 x 4) + (1/2 x 4 x 2) + (2 x 4) = Area of figure shown

=> 16 + 4 + 8 = Area of figure shown

=> 28 = Area of figure shown

Therefore, the area of the figure is 28 units.

Hoped this helped.

Answer:

28 units.

Step-by-step explanation:

Act like the shape is just a normal rectangle, because thats easy to do. If it was a full rectangle the length would be 8 and the width would be 4. The formula for finding area of a rectangle is length times width so 8x4 is 32. Now, to find the actual area of the shape, you have to subtract a bit. (I'll add a picture to better explain what I am meaning) You imagine see a mini rectange in the corner with a length of 4 and a width of 2. The area for that is 8. But, only half of that imaginary rectangle is in the actual shape so subtract half of that shape (4) from the original 32 and you get 28. The area is 28 units.

The pentagons ABCDE and JKLMN are similar find the length x of JK

Answers

i did the answer to this before but its 8

Answer:

x = 8

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are in proportion , that is

[tex]\frac{JK}{AB}[/tex] = [tex]\frac{KL}{BC}[/tex] , substitute values

[tex]\frac{x}{4}[/tex] = [tex]\frac{6}{3}[/tex] = 2 ( multiply both sides by 4 to clear the fraction )

x = 8

how do u find the order of operations of 8×3+70÷7-7 ​

Answers

24 + 10 - 7 = 34 - 7 = 27

What is the solution for -10 < x - 9?
x > -19
x < -1
x < -19
x > -1

Answers

Answer:

x > - 1

Step-by-step explanation:

- 10 < x - 9 ( add 9 to both sides )

- 1 < x , therefore

x > - 1

Answer:

x > -1

Step-by-step explanation:

why:

-10  < x-9         for exemple 2< 3

x-9  > -10                 3 > 2      

just add 9 to both sides

x-9 +9 > -10 +9

x > -1

meth2

x-9  > -10  

x > -10 +9       left  to right

x> -1

30 points.

the midpoint of AB is (4,8) and the coordinates of point A are (-6,4) what are the coordinates of point B?​

Answers

Answer:

  B = (14, 12)

Step-by-step explanation:

As you know, the midpoint is the average of the end point coordinates:

  M = (A +B)/2

Solving for B gives ...

  2M = A + B

  B = 2M -A

  B = 2(4, 8) -(-6, 4) = (8+6, 16 -4)

  B = (14, 12)

Hi this is algebra math. It’s been a while since I’ve been on this app but I need some help on if the problem graphed the slope right or wrong.

Answers

The graph is wrong, the slope is correct but because the sign is less than y that means the line on the graph should be dotted not solid.

i need help plzzzzz be a good mon,woman

Answers

The graph is symmetric when X=40

The revenue earned when the shovel is sold for $20 is the same when the shovel is sold for $60.

Hope this helps! :)
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