Write the equations of the line that passes through the point 4,3) and is perpendicular to the line y=2x−4 . Write the equation in slope-intercept form.

Answers

Answer 1

Answer:

        y = -¹/₂x + 5

Step-by-step explanation:

The product of slopes of perpendicular lines is -1

y = 2x − 4  ⇒   m₁ = 2

m₁m₂ = -1

2m₂ = -1

m₂ = -¹/₂

The Point-Slope form of equation of a line with slope of "m" and passing through point (x₁, y₁) is:  y - y₁ = m(x - x₁)

m = -¹/₂

(4, 3)  ⇒  x₁ = 4,  y₁ = 3

So the equation in point-slope form:

                                                  y - 3 = -¹/₂(x - 4)

Therefore:

y - 3 = -¹/₂x + 2

y = -¹/₂x + 2 + 3

y = -¹/₂x + 5

Related Questions

What is the volume of the cylinder below?

Answers

Answer:

11253.76

Step-by-step explanation:

We know that the formula for the volume of a cylinder is pi(r^2)(h) and we have both the radius (8 yards) and the height (56 yards) given to us. Given this, we can plug those numbers into the equation and do pi x (8)^2 x 56 which is simplified to 3.14 x 64 x 56, and when we solve this out we can get a final answer of 11253.76

A jewelry box has a volume of 14 cubic inches. The area is 7 square inches. What is the height of the jewelry box.

Answers

Answer:

2 inches

Step-by-step explanation:

a=Lw

v=lwh

lw= 7

14/7=2

Determine the length of PN and the value of y

Answers

Answer:

Side PN=26

y=16

Step-by-step explanation:

I put a photo of my work. It’s easier to do that then to try and put it all in words

Caleb and Suzanne each have a pile of blue and white chips. Caleb determines in his pile,three out of every four chips is blue. Suzanne determines in her pile, one out of every five chips are blue. How many total chips does each student have if Caleb and Suzanne each have 6 blue chips?

Answers

Answer:

Total number of chips Caleb have = 8

Total number of chips Suzanne have = 30

Step-by-step explanation:

In Caleb case -

Three out of every four chips is blue

⇒ If Caleb has total chips = 4

Then Blue chips = 3

⇒White chips = 4 - 3 = 1

Now,

If Caleb have 6 blue chips

⇒3 Blue chips = 4 total chips

  1 Blue chip = [tex]\frac{4}{3}[/tex] total chips

⇒6 blue chips = [tex]\frac{4}{3}[/tex] ×6 = 4×2 = 8 total chips

∴ we get

Number of chips become = 8

In Suzanne case -

One out of every five chips are blue.

⇒ If Suzanne has total chips = 5

Then Blue chips = 1

⇒White chips = 5 - 1 = 4

Now,

If Suzanne have 6 blue chips

⇒1 Blue chips = 5 total chips

⇒6 blue chips = 5×6 = 30 total chips

∴ we get

Number of chips become = 30

Help me Please !!!! You will receive Brainliest!!!

Answers

(-3, -3) and (2, 7).

The solutions to a graphed system of equations are where the two graphs cross each other. So in this case the two equations cross at (-3, -3) and (2, 7), and those points are the solutions to the system of equations.

The radius of circle is 9. Using pie, which equation expresses the ratio of the circumference of the circle to the circle's
diameter?

Answers

Answer:

B) C/18 = PI

Step-by-step explanation:

C = PI * Diameter

C = PI * 2R

C = PI * 18

C/18 = (PI * 18)/18

C/18 = PI

PLS HELP THE QUESTION IS BELOW PLS PLS PLS

Answers

Answer:

its b trust me ok dont worry I have you in my hands

Answer: THE ANSWER IS B.

Express the function F in the form f ∘ g. (Enter your answers as a comma-separated list. Use non-identity functions for f(x) and g(x).) F(x) = x + 2

Answers

Answer:

[tex]F(x) = f \circ g[/tex]

[tex]f(x) = x + 2[/tex] and [tex]g(x) = x[/tex]

Step-by-step explanation:

Given

[tex]F(x) = x + 2[/tex]

Required

Express as

[tex]F(x) = f \circ g(x)[/tex]

In functions:

[tex]f \circ\ g(x) = f(g(x))[/tex]

So, we have:

[tex]f(g(x)) = x + 2[/tex]

g(x) can be set to x and f(x) to x + 2

Hence:

[tex]F(x) = f \circ g[/tex]

When: [tex]f(x) = x + 2[/tex] and [tex]g(x) = x[/tex]

A typical person takes about 24000 breaths each day. Write an equation you can use to find the number of breaths a typical person takes each minute.​

Answers

Step-by-step explanation:

Welp if a typical person takes 24000 breaths each day that's means

24000÷24=1000

so that's means 1000 per hour

if a hour take 60 Min that's mean

1000÷60=16.6666667 don't tell me I'm not sure about this answer and not really good at this :p

4x - (-6) what’s the answer

Answers

Answer:

4x + 6

Step-by-step explanation:

If i remember correctly, two minuses make a positive, so -(-6) would turn into +6. I dont think that you can add a number with a variable to a regualar number so the answer is as simplified as it can get. If that one is wrong, try 10x. Hope this helps!

Solve A = P(1 + rt) for t

Answers

A=P(1+rt)
A/P=1+rt
A/P-1=rt
AP-P/Pr = t
A-1/r=t

Answer:

t = (A/p-1) r

Step-by-step explanation:

p = p (1+rt)

A/P = 1+rt

rt = A/P- 1

t = ( A/P- 1) r

There are 150 adults and 255 children at a zoo. The zoo makes a total of $4,500 from the entrance fees, and the cost of an adult and a child to attend is $23. how much does it cost each for a parent and a child? Let a represent an adult. Letc represent a child. Enter a system of equations to represent the situation, then solve the system. The system of equations is and The adult tickets cost $ and the child tickets cost $​

Answers

Answer:

y+x=31, 150x+225y=5100.

y=-x+31

150x+225(-x+31)=5100

-75x=-1875

x=25 (adult tickets are $25)

31-25= 6 (child tickets are $6)Step-by-step explanation:

Answer:

Parent: $25

Child: $6

Step-by-step Explanation:

y+x=31, 150x+225y=5100

y=-x+31

150x+225(-x+31)=5100

-75x=-1875

x=25 (adult tickets are $25)

31-25= 6 (child tickets are $6)

I hope this helped :D

Find the slope from point (3,45) and (5,75)

Answers

Answer:

15

Step-by-step explanation:

To find the slope, we use the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 75-45)/( 5-3)

    = 30/2

    = 15

- Ashanti earns $50 an hour. How much does she earn in 6 hours?

Answers

Solution:-

Given,

Ashanti earns=$50 an hour

Ashanti earns in 6 hours=?

Now,

Ashanti earns in 60 hours=$50×6

=$300

Therefore,Ashanti earns $300 in 6 hours.

Write your question here (Keep it simple and clear to get the best answer) simplify (3x-4y)(5x+2y)-(x+y)

Answers

Answer:

15x^2−14xy−8y^2−x−y

Step-by-step explanation:

Combine like units.

Answer:

hope it helped

have a good day

Santino pays $36.85 for eleven 10-count boxes of granola bars. How much does 1 box of granola bars cost?

Answers

Answer:

One box of granola bars costs $3.35.

Step-by-step explanation:

36.85/11=3.35

The basketball team ordered two pizzas. They left 1/3 of one and 1/4 of the other uneaten. What amount of pizza did they have leftover?

Answers

Get both 1/3 and 1/4 to the same denominator, with is 12, you also multiply the numerator the same you had to as the denominator.

The answer is 7/12

So I've noticed a lot of people have been struggling on equations like these : 8 + ( 2 * 7 )
and I'll be explaining an easy way on how to solve it.

So basically 2 * 7 = 14, now we just have to add 8 + 14 which equals 22.
The parenthesis is the equation you have to solve to get your answer and then you just have to either add, subtract, multiply or divide to find your answer.

I hope this helped!

Answers

Answer:

Yes, it did. Thank you very much.

Direction: Read and analyze each question below, the write the letter of the correct answer.

1. Which of the following is a conditional statement?
a. If Andrew cleans the room then Andrea cleans the kitchen.

b. Andrew and Andrea clean the kitchen.

c. None of the above

2. Which of the following is a converse statement of the sentence "If you eat vegetables, then you are healthy"?
a. If you are healthy, then you eat vegetables.

b. If you do not eat vegetables, then you are not healthy.

c. None of the above

3. Which of the following is the contrapositive statement of the sentence "If you eat vegetables, then you are healthy"?
a. If you are healthy, then you eat vegetables.

b. If you do not eat vegetables, then you are not healthy.

c. None of the above

NEED ASAP​

Answers

Answer:

1 is A

2 is A

3 is none of the above

Step-by-step explanation:

This cylinder has a volume of 392\pi392π cubic inches and a diameter of 14 inches. Find the radius and the height.

Answers

Answer:

15688

Step-by-step explanation:

PLZ HELLLP ITS DUEEEE IN 10 MINUTESSSSS!!!

Answers

Answer:

35, 56, x=4

Step-by-step explanation:

Math Teacher is giving extra credit to who ever can come up with the best theme for his kids birthday party!!!


I will give a Branliest!


You can choose

A. Hunger Games

B. Men in Black

C. Classic Horror Movies

D. Jurassic Park


OR!!

Awnser With your own suggestion!!!!!!!

Answers

Answer:

E. HELLO

Step-by-step explanation:

What fraction do you multiply 3 by to get 1

Answers

the answer is 1/3

1/3 + 1/3 + 1/3 equals 1

which is the same as 1/3 times 3

¿Sera cierto que existe una fraccion con numerador 20 equivalente a la fraccion 100/55?Justifica tu respuesta​

Answers

Answer:

si porq si porq si si dices si es si

Find the least common multiple (LCM) of 6 and 10

Answers

Answer:

30

Step-by-step explanation:

Multiples of 6 are 6,12,18,24,30.

Multiples of 10 are 10,20,30.

30 is the number they both have in common first. 30 is the LCM.

Hope this helps!

The least common multiple (LCM) of 6 and 10 is 20

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

6 and 10

The multiples of 6 are 6, 12, 18, 24, 30, 36, ...

The multiples of 10 are 10, 20, 30, 40, 50, 60,...

Now,

The least common multiple (LCM) of 6 and 10.

= 30

Thus,

30 is the LCM of 6 and 10.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ5

prove that...

sin A = Cos (90°- A)​

Answers

Step-by-step explanation:

assuming A=90 degree and B =A

cos90=0 and sin90=1

um dado de 6 faces numeradas de 1 a 6 e lançado de maneira aleatória deseja-se que ele caia com uma face para cima . Qual a probabilidade de se obter a face com um dos valores desejados​

Answers

Answer: The translation: is "a die with 6 faces numbered from 1 to 6 and thrown in a random way is desired to fall face up. What is the probability of obtaining the face with one of the desired values"

You can upgrade lighting at your factory to LED bulbs that coast 6.95 each and last an average of 5 years.

Answers

Answer:

$200

Step-by-step explanation:

Here is the full question

You can upgrade lighting at your factory to LED bulbs that cost $6.95 each and last an average of 5 years. It costs $3 in labor to change a bulb. Over a 10-year period, about how much will it cost per year to install LED bulbs in 100 lamps and change the bulbs when they burn out?

in 10 years, the bulbs would be changed twice

Total cost incurred per bulb in 10 years = (6.95 +  $3) x 2 = $19.90

Since there are 100 bulbs, total cost incurred would be - $19.90 x 100 = $1990

Cost per year = $1990 /  (6.95 +  $3) = $200

1. Noah had $ 5.25 and Lin had $ 8.95. How much did they have altogether?
2. Diego had $ 21.32 and gave $ 9.50 to Elena. How much did he have left?
3. Andre deposited $ 24.50 into his bank account each week for 5 weeks. What was the total amount Andre deposited?
4. Four friends did a job together that paid $ 85.20. How much should each get if they all get an equal amount?

Answers

1. 5.25 + 8.95 = 14.20

2. 21.32 - 9.50 = 11.82

3. 24.50 × 5 = 122.5

4. 85.20 ÷ 4 = 21.3

Hope this helped! Please comment if you have any questions regarding how I got my answers. Stay safe.

Deandria spent $22 on 11 song downloads. How much did each song cost?

Answers

Answer:

2 dollars on each

Step-by-step explanation:

2 times 11 equals 22

Answer:

Each song costed $2.00

Step-by-step explanation:

If all song downloads cost the same, then each song download costs...

22 / 11 = 2

There the cost per 1 download is $2.00

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