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

1) Resolva as expressões numéricas. Não esqueça de deixar os cálculos.
a) 2 + 8-3-5 + 15 =
b) 12 + (35 - (10 + 2) +2] =
c) [(18+32) + 8 +5 3] + 6 =
d) 37 + (-25 - (-11 + 19 - 4)] =
e) 60 = {2 • (-7 + 18 = (-3 + 12)]} - [7 • (-3) - 18 = (-2) + 1) =
f) -8 +{-5 + [(8-12) + (13 + 12)] - 10) =​

Answers

Answer:

a=17

b=37

c=117

d=8

e=

f=-2

3÷1 1/4
i need to know ASAP and i need to know how to do it

Answers

Answer:

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

Step-by-step explanation:

Let's set this up:

We have 3/1[tex]\frac{1}{4}[/tex]

That's also 3/1.25

For division, we don't divide if there is a fraction, so we move the decimal place over to the right for both the numbers

300/125

Then you long divide as normal:

And it's really hard to show how to long divide on a computer so I'm just going to go ahead and assume you know how to.

But the answer to that would be 2.4 or 2[tex]\frac{2}{5}[/tex]

Thank you, let me know if you have any questions.

It WILL BE 12/5

3 is 12/4

1 1/4 is 5/4

When you set it up like this 12/4 * 4/5 you can cancel out the 4’s and get 12/5 as the final answer.

The sum of two numbers is 12. The product of those same two numbers is -64. Find the numbers.​

Answers

Answer: The answer for the 2 numbers are 16 and -4.

Step-by-step explanation: 16 + (-4) is 12, and 16 x (-4) is -64.

cuántos encuentros son necesarios para una entrevista completa​

Answers

4 encuentros,creo Ó 2 encuentros.Pero yo creo que 4

The number 6545 can be written as a product of a pair of positive two digit integers. What are these two integers?

Answers

Answer:

77 and 85

Step-by-step explanation:

Since the number 6545 ends in a 5, we can assume that one of the two digit numbers ends in a 5. I tried 55, 65, 75, and 85, and I just divided 6545 by those numbers until I got a two-digit positive integer as my answer,

85 * 77 = 6545

Therefore, the answer is 85 and 77.

I hope this helps!

A water rocket is launched froni a platform. The height,
h in metres, of the water rocket at time & seconds after
it is launched is h= -212 + 74 + 4. When does the water
rocket hit the ground?​

Answers

Answer:

4.41seconds later

Step-by-step explanation:

Let the equation of the height reached by the water front be h = -2t^2+7t+4

The water hits the ground at h =0

Substitute

0 =  -2t^2+7t+4

-2t^2+7t+4 = 0

2t^2 - 7t - 8 = 0

t = 7±√(-7)²-4(2)(-8)/2(2)

t = 7±√49+64/4

t = 7±√113/4

t = 7±10.63/4

t = 7+10.63/4

t = 17.3/4

t = 4.41s

Hence the water hit the ground 4.41seconda later

Which shows the distributive property?

1. 5x + 2 = 2 + 5x

2. 5(x + 2) = 5x + 10

3. 5(x + 2) = 5(2 + x)

Answers

Number 2 because your multiplying the 5 by the numbers in the parenthesis.

7/8m^3 +3-1/2m^3. can u please help me solve this

Answers

Answer:

3m^3/8 + 3

Step-by-step explanation:

It can't be solved but that's the most simplified version.

Answer:

15/8m^3

Step-by-step explanation:

7/8m^3+2/2m^3

7/8m^3+1/m^3

=15/8m^3

Which of the following expressions are equivalent to 5(m + 3)? hurryy

Answers

Answer:

B   5m + 15

Step-by-step explanation:

Use the distributive property and multiply 5 by both terms inside the parentheses.

5(m + 3) = 5 * m + 5 * 3 = 5m + 15

Answer: B   5m + 15

the supplement of a 65° angle has a measure of​

Answers

Answer:

115 degrees

Step-by-step explanation:

supplementary angles add up to 180 degrees, so if x is the angle you're trying to have you get:

[tex]x + 65 = 180\\x = 115[/tex]

A toy store had 789 games.
It sold 53 of these games.
How many games are at the store now?
I games
?

Answers

Answer:

736 games are at the store now

Step-by-step explanation:

789-53=736

Answer:

736

Step-by-step explanation:

789-53=736

Given that ABCD is a parallelogram. Find the following

Answers

Answer:

m=8

m<A=83

m<D=97

Step-by-step explanation:

Angles that are opposite of each other in a parallelogram are equal. Knowing this, we can first conclude that angle A and angle C are equal. We can set up the following equation:

[tex]9m+11=8m+19[/tex]

Subtract both sides by 11

[tex]9m+11-11=8m+19-11\\9m=8m+8[/tex]

Subtract both sides by 8m

[tex]9m-8m=8m+8-8m\\m=8[/tex]

To calculate angle A, plug the value of m into its expression.

[tex]<A=9m+11\\<A=9(8)+11\\<A=72+11\\<A=83[/tex]

In a parallelogram, angles that share a side are supplementary, meaning they add up to 180 degrees. Therefore, angle A and angle D are supplementary. Knowing this, we can set up the following equation:

[tex]180=83+D[/tex]

Subtract both sides by 83

[tex]180-83=83+D-83\\97=D[/tex]

I hope this helps!

A local little league has a total of 60 ​players, of whom 40​% are left​-handed. How many left ​- handed players are​ there?

Answers

Answer:

24 players

Step-by-step explanation:

Answer:

24. 60 X 4/10 is 24

Step-by-step explanation:

PLEASE HELP!!! ILL GIVE BRAINLIEST, EXPLAIN YOUR ANSWER PLEASE

Answers

Answer: -20v^3 - 30x^2 +20

Step-by-step explanation:

simply multiply each term inside of the parentheses by -5.

Answer:

20v³ + 20 - 30x²

Step-by-step explanation:

multiply -5 by all three terms inside parentheses

(-5)(-4v³) + (-5)(-4) + (-5)(6x²)

20v³ + 20 - 30x²

Answer the photo below thanks

Answers

Answer:

You're right, the answer is C.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

I am not sure if it is B or C, but I can say that it is not A since the figure in A is rotated. Figure in B kinda looks like a reflection then C because if the figures were translated then the corner should be at one side. Sorry if that kinda confused you, but I added a picture of what I am trying to say for the figure in option B. I guess it is C.

Hope this helps, thank you !!

If x= 1/3 is one of the solutions of an equation then what is the factor that gave us this solution

Answers

Answer:

3x - 1 = 0

Step-by-step explanation:

If x = 1/3

multiply both sides by 3

3 * x = 1/3 * 3

3x = 1

Subtract 1 from both sides ;

3x - 1 = 1 - 1

3x - 1 = 0 ( the factor which gives the solution)

3x - 1 = 0

3x = 1

Doavide both sides by 3

3x / 3 = 1/3

x = 1/ 3

NEED HELP ASAPPPPPP PLZZZZZ
Right one paragraph on
What is factoring by using GCF?

Answers

Answer:

GCF is the largest factor that all terms have in common.

-2 + b < 3





.............

Answers

Answer:

I believe we are solving for b. b<5

Step-by-step explanation:

2. it's not B
Write a rule for the linear function shown in the graph.



A. y = -5/2x - 1

B. y = 3x – 1

C. y = 2/5x + 1

D. y = 5/3x + 1

Answers

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

( 0 ,   1 )

Equation Form:

x = 0 ,     y = 1

Step-by-step explanation:

Graph.

y = − 5/ 2 x − 1

y = 3 x − 1

y = 2/ 5 x + 1

y = 5/ 3 x + 1

There are 4 identical wooden blocks that are 20 inches long, 2 inches wide, and 1 inch thick. If you glue them together, what is the difference of the largest and smallest outer surface area you can get?

Answers

Answer:

Step-by-step explanation:

5 inches wide, and 2 inches thick. if you glue them together(stacked) what is ... If you glue the largest area faces together you will get the smallest overall ... The total surface area of one of the blocks is 2 times 250 square inches plus 2 times ... 720 times 3 is 2160 minus 4 times 250 is 2160 minus 1000 is 1160.

A package weighs 32 ounces. What is the weight of the package in pounds

Answers

Answer:

2 pounds

Step-by-step explanation:

1 pound=16 ounces

If you are making broccoli cheese soup the ratio of cheese to broccoli to broth is 5:6:10 if there is 100 parts broth how many of each ingredient should you use

Answers

Answer: See explanation

Step-by-step explanation:

Since there are 100 parts broth, the number to use for each ingredients will be:

Cheese = 5 × 100/10 = 5 × 10 = 50

Broccoli = 6 × 100/10 = 6 × 10 = 60

Broth = 100

Given g(x) = -5x+ 2, find g(4).
Answer:

Answers

Answer:

-18

Step-by-step explanation:

g(x)=-5x+2

g(4)=-5(4)+2=-20+2=-18

Answer:

-18

Step-by-step explanation:

the output is double the input

Answers

Whats the question???

Pls help me with this math problem

Answers

Answer:

12 ima shoot u

Step-by-step explanation:

finding value of x. PQR
P- 2x°
3
3
3

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Equilateral Triangles.

Since, we know that, all the sides of a triangle are equal, hence it is a Equilateral triangle.

Equilateral triangle has one all angles equal to 60°.

so, major angle P = 60°

hence, 2x=60°

===> x = 30°

Which values of a and b make the following equation true?

Answers

Answer:

a=11 , b=7

Step-by-step explanation:

When integer multiply with integer, the base were same, then we just add both powers.

for example

[tex]x {}^{2} \times {x}^{3} = {x}^{2 + 3} = {x}^{5} [/tex]

B. Draw any pictures showing the ratios of:
1. 2 to 5
2.6 to 8
3.4 to 7
4.3 to 9​

Answers

this is for all of them

Order the following from LEAST to GREATEST: 3/5, -1/2, 0.50, -7/10, -0.75 *

Answers

Answer:

-0.75, -7/10, -1/2, 0.50, 3/5

Answer:

-0.75, -7/10, -1/2, 0.50, 3/5

Step-by-step explanation:

put all of them as a decimal first

3/5 = 0.6 (5)

-1/2 = -0.50 (3)

0.50 = 0.50 (4)

-7/10 = -0.70 (2)

-0.75 = -0.75 (1)

9. Teresa was taking her two children to the zoo. She purchased 1 adult ticket for herself and 2 children's
tickets for a total of $18.20. A family of 5 was also visiting the zoo. -The family purchased 2 adult tickets and
3 children's tickets for a total of $30.90. How much money did an adult ticket cost?

Answers

Answer:

plz mark as brainliest

Step-by-step explanation:

$7.9

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