Find the equation of the line with points (3,3) in y=mx+b where it is perpendicular to equation 5x+5-4y=0

Answers

Answer 1

Answer:

y = -[tex]\frac{4}{5}[/tex]  x  + [tex]\frac{27}{5}[/tex]      or

5y = -4x + 27

Step-by-step explanation:

To find the equation of a line with points (3,3) and is perpendicular to   5x+5-4y=0

we will follow the steps below:

First find write the equation:  5x+5-4y=0  in standard form  y= mx + c and find the slope

5x+5-4y=0

4y = 5x + 5

divide through by 4

4y /4= 5x/4 + 5/4

y = [tex]\frac{5}{4}[/tex] x +  [tex]\frac{5}{4}[/tex]

comparing the above with y = mx + c

m=  [tex]\frac{5}{4}[/tex]

since the equations are perpendicular.

To find the new slope

[tex]m_{1}[/tex][tex]m_{2}[/tex]  = -1

[tex]\frac{5}{4}[/tex] [tex]m_{2}[/tex]   = -1

multiply both-side of the equation by [tex]\frac{4}{5}[/tex]

[tex]\frac{4}{5}[/tex]× [tex]\frac{5}{4}[/tex] [tex]m_{2}[/tex]   = -1 × [tex]\frac{4}{5}[/tex]

[tex]m_{2}[/tex]   =  -[tex]\frac{4}{5}[/tex]

The slope of our new  equation is  -[tex]\frac{4}{5}[/tex]

The points are (3,3)

We can now go ahead and form our new equation

y - [tex]y_{1}[/tex]  =  m ( x - [tex]x_{1}[/tex])

y - 3 =  -[tex]\frac{4}{5}[/tex] ( x - 3)

y - 3 =  -[tex]\frac{4}{5}[/tex]  x  +  [tex]\frac{12}{5}[/tex]

y = -[tex]\frac{4}{5}[/tex]  x  + 3 +   [tex]\frac{12}{5}[/tex]

y = -[tex]\frac{4}{5}[/tex]  x  + [tex]\frac{27}{5}[/tex]

5y = -4x + 27


Related Questions

PLLZZZZZZZ HELP I WILLL GIVE BRAINLIEST TO THE FIRST ONE TO ANSWER

Answers

Answer:

positive

Step-by-step explanation:

What is the completely simplified equivalent of 2 over 5+i? the 'i' is 1! thx for the help!

Answers

Answer:

1/3 ≅ .33333

Step-by-step explanation:

If 'i' is 1, then 5+i is 6. 2 over 6 is 1 over 3. (2/6 = 1/3) 1 over 3 is also .3333... forever repeating.

Hope this helps!

PLS ANSWER I WILL MARK U AS THE BRAINLIEST!!! Correct 36.2598 to

a) decimal place.
b) To the nearest hundredth.
c) to nearest 0.001
d) to the nearest whole number

Answers

The question is incomplete.

Complete Question

Correct 36.2598 to

a) to one decimal place.

b) To the nearest hundredth.

c) to nearest 0.001

d) to the nearest whole number

Answer:

a) to one decimal place = 36.3

b) To the nearest hundredth= 36.26

c) to nearest 0.001 = 36.260

d) to the nearest whole number = 36

Step-by-step explanation:

From the question, we are to round up 36.2598 to the following:

a) to one decimal place.

Rounding up 36.2598 to one decimal place means we are looking at the first number after the decimal which is 2. The number after it is 5, so we are adding one to 2. Hence,

36.2598 to one decimal place = 36.3

b) To the nearest hundredth:

Rounding up 36.2598 to the nearest hundredth means we are rounding up to 2 decimal places. This means we are looking at the second number after the decimal which is 5. The number after it is 9, which is higher than 5 so we are adding one to 5. Therefore,

36.2598 to the nearest hundredth = 36.26.

c) to nearest 0.001

Rounding up 36.2598 to the nearest 0.001 means we are rounding up to the nearest thousandth which is 3 decimal places.

This means we are looking at the third number after the decimal which is 9. The number after it is 8, which is higher than 5 so we are adding one to 9.

Therefore,

36.2598 to the nearest 0.001 = 36.260

d) to the nearest whole number

Rounding up 36.2598 to the nearest whole number means we are rounding up the number before the decimal place. That number is 6. We look at the first digit after the decimal, it is less than 5, 6 remains unchanged, if it is 5 and above, we add one to 6.

For our question, the number after the decimal is 2, it is less than 5 so 6 remains unchanged.

36.2598 to the nearest whole number = 36.

Find the area of the right triangle. If necessary, round to the nearest tenth.
A right triangle with side 9 meters and hypotenuse of 18 meters.
a.
15.6 m
b.
70.2 m
c.
42.6 m
d.
243 m

Answers

Answer:

b

Step-by-step explanation:

Let's find the area of the adjacent side.

Applying Pythagoras' Theorem,

(adjacent side)²= 18² -9²

adjacent side[tex] = \sqrt{243} [/tex]

adjacent side= 15.588 m (5 s.f.)

Area of triangle= ½ ×base ×height

Area of traingle

[tex] = \frac{1}{2} \times15.588 \times 9 \\ = 70.1m \: (nearest \: tenth)[/tex]

The nearest answer is B.

*If you rounded of to the nearest tenth for the adjacent side first then use the formula for area of traingle, the result would be exactly 70.2 m.

Answer:

The answer above me is correct

Step-by-step explanation:

Find the missing side lengths. Answers are in simplest radical form with the denominator rationalized.

Answers

Answer: D

Step-by-step explanation:

y=4√2

This triangle is isosceles.  Thus, two of the legs are congruent by A.S. Thm

D is the only choice with y = 4√2.

Which of the following is a numerical expression that involves addition? x + 8 7 – x 2 + 5 6x

Answers

Answer:

x+8

Step-by-step explanation:

This is because in this answer, there are two terms with an addition sign in between them.

Twice the sum of two numbers is 72 if one number is 20 then the other number is_______

Answers

Answer:

16

Step-by-step explanation:

If you add 16 to 20 then you get 36. twice of 36 is 72

What is 131x682 can anyone tell me the step of doing it I don’t know how to

Answers

Answer:

91232

Step-by-step explanation:

am I correct? if not what's the right answer?​

Answers

Answer:

2x+y -3 =0

Step-by-step explanation:

0 = Ax + By + C is the general form of a line

2x+4y +2 = 3y +5

Subtract 3y from each side

2x+4y-3y +2 =3y+5-2y

2x+y +2 = 5

Subtract 5 from each side

2x+y +2-5 = 5-5

2x+y -3 =0

Of the following statements, which one or ones describe actions helpful to your credit score?
I. Quickly paying off debts
II. Having recent debts
III. Having long-standing lines of credit
a. I only
b. II and III
C. I and III
d. III only
Please select the best answer from the choices provided
A
B

Answers

Answer:

I’m going to say C in order to improve you have to pay off debts

Step-by-step explanation:

The Credit Score helps us to

Quickly paying off debts and Having long-standing lines of credit.

What is Credit Score?

Based on information from your credit reports, a credit score predicts your credit behavior, such as how likely you are to repay a loan on time.

This is determined by the total amount you owe, the variety and quantity of accounts you have, and the ratio of your debt to your available credit.

Given:

As, Smaller amounts may boost your credit score if you make on-time payments, but larger balances and maxed-out credit cards will lower it.

So, Credit Score usually used to pay the debts.

But the debts are bad for credit.

Learn more about Credit Score here:

https://brainly.com/question/25668115

#SPJ2

Select the expression that is equivalent to 3(2x + 5) − 4x. A. 2x + 15 B. x + 8 C. x + 15 D. 2x + 5

Answers

Answer:

A. 2x + 15

Step-by-step explanation:

3(2x + 5) - 4x =

= 6x + 15 - 4x

= 2x + 15

Answer: A. 2x + 15

Answer:

2x +15

Step-by-step explanation:

3(2x + 5) − 4x

Distribute

6x + 15 -4x

Combine like terms

2x +15

Find the value of x. Give reasons to justify your solution. C ∈ AE

Answers

Answer:

x = 11º

Step-by-step explanation:

1. Notice Parallel Lines

2. Understand Angle Relationships When Parallel Lines Are Present (e.g., alternate interior/exterior)

3. ∠CAB ≅ ∠DCA ∴ m∠CAB = 33º

4. Use exterior angle theorem: the sum of non-adjacent angles of the same triangle which the exterior angle is drawn is equal to the measure of that angle.

5. Therefore write and solve the equation 2x + 33º (sum of non-adjacent interior angles) = 5x (exterior angle).

2x + 33 = 5x (C.L.T or Combine Like Terms)3x = 33 (inverse operations; divide by 3)x = 11º (remember to apply units)

Answer:

11 degrees

Step-by-step explanation:

Ur welcome

When I square my number, I get the same answer as when I multiply my number by 10 and then add 144. My number is positive. What is it?

Answers

Answer:

your number is 18

Step-by-step explanation:

x^2 = (x × 10 ) + 144

x^2 = 10x + 144

x^2 - 10x - 144 = 0

using quadratic method

your answer should be

(x- 18) ( x+8 )

Need help solving algebraic expression 3H+20+H=180

Answers

Answer:

H=40

Step-by-step explanation:

3H+20+H=180

4H +20 = 180

4H = 180 - 20

4H = 160

H = 160/4

H = 40

I solved it Step-by-step hoping this helps u to understand it.. Good Luck

3H +H= 4H
180-20=160
4H=160
H=40

Which of the following is an equivalent form of the compound inequality -44 > -2x - 82-8?
0-2x - 8 >-44 and -2x - 82-8
O-2x > -44 and -8-8
0-2x - 8<-44 and -2x -85-8
0-2x -8<-44 and -2x - 82-8


I NEED HELP ASAP

Answers

Answer:

  (d)  -2x -8 < -44  and -2x -8 ≥ -8

Step-by-step explanation:

A compound inequality is a mathematical sentence that combines two simple inequalities. A solution will satisfy both inequalities. That is, it represents an "and" (intersection) condition for the solution sets.

Equivalent pair

An inequality of the form ...

  a > b ≥ c

can be written as a pair of inequalities by considering what is on either side of each of the relation symbols:

left symbol: a > bright symbol: b ≥ c

Application

Given: -44 > -2x -8 ≥ -8

We can decompose the given inequality into the system ...

-44 > -2x -8 . . . . . . . . left symbol-2x -8 ≥ -8 . . . . . . . . . right symbol

When we compare these to the offered answer choices, we see that we need to rewrite the first inequality so the constant is on the right:

  -2x -8 < -44

Then the equivalent form of the given inequality is ...

  -2x -8 < -44  and  -2x -8 ≥ -8

__

Additional comment

The transitive property of inequality means that ...

  a > b ≥ c

implies that a > c.

You will notice that our given inequality, written in this way, becomes ...

  -44 > -8 . . . . . . not true

This means the inequality has no solution. (The solution set is the empty set.)

a bike store marks up the wholesale cost of all bikes by 30%. Calvin wants to buy a bike that has a price tag of $125. What was the wholesale price of this bike

Answers

Answer:

$162.50

Step-by-step explanation:

Answer:

87.5

You need to take 30 percent from 125 and subtract it to get the wholesale price

these tables of values represent continuous functions. for which function will the y-value be the greatest for very large values of x

Answers

Answer:

Option A.

Step-by-step explanation:

We need to find a table for which the y-value will be the greatest for very large values of x.

From the given table it is clear that the largest value of x in all tables is 5.

In table A, y=64 at x=5.

In table B, y=32 at x=5.

In table C, y=40 at x=5.

In table D, y=13 at x=5.

It is clear that 64 is the greatest value among 64, 32, 40 and 13.

It means table in option A represents the function for which the y-value will be the greatest for very large values of x.

Therefore, the correct option is A.

Answer:

Option A

Step-by-step explanation:

Took the quiz

Paul developed a roll of film containing 36 pictures. If he made 2 prints each of half of the pictures and 1 print of each of the rest, how many prints did he make in all?

Answers

Answer:

54

Step-by-step explanation:

Total pictures in the roll = 36

half of the roll = 1/2 of the total pictures in the roll = 1/2 * 36 = 18

Given Paul made 2 prints of each of the half pictures

no. of prints made of half of the pictures = 18*2 = 36

No. of prints left after the half of the roll is printed for two prints= 36-18 = 18

No. of prints made of rest of the pictures 1

Therefore , no of prints made of rest half of pictures = 18*1 = 18

Total prints made = 36 + 18 = 54.

Thus, Paul made 54 prints in all.

3
What is the y-coordinate of the point that divides the
directed line segment from J to k into a ratio of 5:1?
2
AK (7.2)
1
y =
m
m+
-)(x2 - wa) + v
2 3 4 5 6 7 8 9 10 11 x
-11
-2
-3
-4
-5
-8
0-5
0 0
O 6
ibd
-10
J (1,-10)

Answers

Answer:

0

Step-by-step explanation:

Given the points J (1,-10) and K (7, 2)

From the section formula

[tex](x,y)=\left(\dfrac{mx_2+nx_1}{m+n}, \dfrac{my_2+ny_1}{m+n}\right)[/tex]

The y-coordinates of the point that divides the directed line segment from J to K into a ratio of 5:1 is obtained using the formula:

[tex]y=\dfrac{my_2+ny_1}{m+n}\\m=5, n=1, y_1=-10, y_2=2\\Therefore:\\y=\dfrac{5*2+1*-10}{5+1}\\=\dfrac{10-10}{6}\\=0[/tex]

The y-coordinates of the point that divides the directed line segment from J to K into a ratio of 5:1 is 0.

The y coordinate of the point that divides J to K in the ratio 5 : 1 is 0.

Distance

If a point O(x, y) divides the line segment AB with end points A(x₁, y₁) and B(x₂, y₂) in the ratio n:m, the coordinate of O is:

[tex]x=\frac{n}{n+m} (x_2-x_1)+x_1\\\\y=\frac{n}{n+m} (y_2-y_1)+y_1[/tex]

Let O(x, y) represent the point dividing J to K in the ratio 5 : 1. K(7,2) and J(1, -10)Hence:

[tex]y=\frac{5}{5+1}(2-(-10)) + (-10)=0[/tex]

The y coordinate of the point that divides J to K in the ratio 5 : 1 is 0.

Find out more on Distance at: https://brainly.com/question/17273444

Ms. White measured the number of the ounces of juice left behind by 3 students after breakfast. She plotted the data on the line plot shown below

Answers

Answer: The answer is 7 3/4 :)) <3 have a good day.

The amount of juice left by the three students is (31/4) ounces.

What is dot plot?

A dot plot, also called a dot chart, is a type of simple histogram-like chart used in statistics for relatively small data sets where values fall into a number of discrete bins.

Given is that Ms. White measured the number of the ounces of juice left behind by 3 students after breakfast.

The total juice left by 3 students is equivalent to -

{x] = 2 x {2[tex]\frac{1}{4}[/tex]} + 3[tex]\frac{1}{4}[/tex]

{x} = 2 x 9/4 + 13/4

{x} = 18/4 + 13/4

{x} = 31/4

Therefore, the amount of juice left by the three students is (31/4) ounces.

To solve more questions on word problems, visit the link below -

https://brainly.com/question/29203255

#SPJ2

In a class of c children,2/5 are boys What fraction are girls?

Answers

Hello! :)

________ ☆ ☆______________________

Answer:

3/5

Step-by-step explanation:

Here is the work:

You only have to subtract and you will get your answer.

5/5-2/5=3/5

We know 1 whole equals to 5/5, and there is 2/5 boys

So there will be 3/5 girls

Hope this helps! :)

_________ ☆ ☆________________________

By, BrainlyMember ^-^

✨ Good luck! ✨

Answer: 3/5c

Step-by-step explanation:

2/5 is 40%.  100-40=60.  Thus, 60% of c, or 3/5c are girls.

Hope it helps <3

Given the function f(x) = | -2x + 4 |. Complete the table.
-the table is in the picture provided help me complete it please (algebra 1)

Answers

Answer:

See below.

Step-by-step explanation:

To complete the table, start by copying the given function.

f(x) = |-2x + 4|

Now let's start with the first line of the table: x = 6.

You are finding the value of function f when x = 6.

Replace x with 6 and evaluate the expression.

f(6) = |-2(6) + 4|

f(6) = |-12 + 4|

f(6) = |-8|

f(6) = 8

Second line of table:

x = -1

f(x) = |-2x + 4|

f(-1) = |-2(-1) + 4|

f(-1) = |2 + 4|

f(-1) = |6|

f(-1) = 6

For the third and fourth lines, you are given a y value, or the value of function f, and you are looking for x. Now you use the given value to set the function equal to, and you solve for x.

Line 3: f(x) = 4

f(x) = |-2x + 4|

|-2x + 4| = 4

-2x + 4 = 4   or   -2x + 4 = -4

-2x = 0   or   -2x = -8

x = 0    or   x = 4

Line 4: f(x) = 14

f(x) = |-2x + 4|

|-2x + 4| = 14

-2x + 4 = 14   or   -2x + 4 = -14

-2x = 10   or   -2x = -18

x = -5    or   x = 9

The table looks like this:

x          f(x)

6         8

-1         6

0,4      4

-5, 9     14

[tex] \end{center} [/tex]

For the given function f(x) = | -2x + 4 |, the data is shown in the table below.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that the function is,  f(x) = | -2x + 4

Let's begin with the table's first line: x = 6, When x equals 6, you are determining the value of function f. Evaluate the equation after substituting 6 for x.

f(6) = |-2(6) + 4|

f(6) = |-12 + 4|

f(6) = |-8|

f(6) = 8

For the Second line of the table,

x = -1

f(x) = |-2x + 4|

f(-1) = |-2(-1) + 4|

f(-1) = |2 + 4|

f(-1) = |6|

f(-1) = 6

The third line of the table,

f(x) = 4

f(x) = |-2x + 4|

|-2x + 4| = 4

-2x + 4 = 4   or   -2x + 4 = -4

-2x = 0   or   -2x = -8

x = 0    or   x = 4

Line 4: f(x) = 14

f(x) = |-2x + 4|

|-2x + 4| = 14

-2x + 4 = 14   or   -2x + 4 = -14

-2x = 10   or   -2x = -18

x = -5    or   x = 9

Thus, for the given function f(x) = | -2x + 4 |, the data is shown in the table below.

Learn more about the function here,

brainly.com/question/5245372

#SPJ2

WIL GIVE BRAINLIEST IF ANSWER FAST! Evaluate the expression 7x2y, when x = 4 and y = 2. 112 224 542 718

Answers

Answer:

224

Step-by-step explanation:

Substitute x = 4 and y = 2 into the expression and evaluate

7x²y = 7 × 4² × 2 = 7 × 16 × 2 = 7 × 32 = 224.

Hope this helped you!

Let f(x) = x2 and g(x) = x - 3.
Evaluate (gºf)(-2).
A. -20
B. 20
C. 7
D. 1

Answers

Answer:

D. 1

Step-by-step explanation:

Step 1: Find g of f(x)

g(f(x)) = (x²) - 3

Step 2: Plug in -2 as x

g(f(x))(-2) = (-2)² - 3

g(f(x))(-2) = 4 - 3

g(f(x))(-2) = 1

How many different 2-digit numbers are there with the following property: it is even and its digits are distinct?

Answers

Answer:

There are 41 different 2-digit numbers with the following properties in the question

Step-by-step explanation:

This may not be easy, but I counted them all:

10

12

14

16

18

20

24

26

28

30

32

34

36

38

40

42

46

48

50

52

54

56

58

60

62

64

68

70

72

74

76

78

80

82

84

86

90

92

94

96

98

I counted them. There were 41 numbers.

In conclusion, there are 41 2-digit numbers with the following properties: it is an even number and its digits are distinct.

5t - 30t + 50 =0 pls help!!!

Answers

Answer:

t=   2

Step-by-step explanation:

5t - 30t + 50 =0

-50                  -50

5t - 30t  =-50

-25t   = -50

÷-25    ÷-25

t=   2

Answer:

t = 2

Step-by-step explanation:

5t - 30t + 50 = 0

-25t = -50

t =  -50/-25

t = 2



3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day?


a) 8
b) 9
c) 10
d) 11
e) 12

Answers

In my view option D but it can be wrong

Which of the lines in the picture are lines of symmetry of the given figure? Please explain!

Answers

Answer:

n,r,t

Step-by-step explanation:

The line of symmetry can be defined as the axis or imaginary line that passes through the center of the shape or object and divides it into identical halves. As you can see above the lines n,r,t are the only lines that give identical halves of the figure

If two similar cones have volumes of 320 cm³ and 1,080 cm³, find the scale factor.
A. 1/3
B. 2/3
C. 3/4
D. 7/8​

Answers

Answer:

B. 2/3

Step-by-step explanation:

The scale factor is B.2/3

Someone please help me it’s 20 points please help!!!

Answers

Answer:

[tex]g(1)=1[/tex]

Step-by-step explanation:

Use just the definition for the appropriate section of the Domain that includes x=1,

that is the third definition:

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

Other Questions
You are interested in becoming more physically fit, but you find yourself making excuses to get out of jogging most afternoons. What can you do to improve your interest in completing the necessary amount of physical activity each day? A: Set an alarm to make sure you know it is time to go jogging B: Try different activities to find something you enjoy more C: Jog alone so you can end the workout early if you get bored D: Fill your schedule with other activities so you don't have time to jogPlease help me, im struggling and i feel so dumb.. :( I will give you extra points and name your answer as the brainliest :) Read the excerpt from "On the Bus with Rosa Parks." Rosa How she sat there, the time right inside a place so wrong it was ready. In this excerpt, the poets narration reveals the poets feeling of pride in Rosa Parks. Rosa Parkss feeling of fear on the bus. the poets own fight against segregation. the consequences of Rosa Parkss act. Suppose that you spin the double wheel pictured to the right. Assuming that the wheels are independent and each outcome is equally likely, determine the probability that you get red on both wheels.A spinner consists of two concentric unequal circular wheels with the smaller one placed on the larger. The smaller wheel is divided into 8 equal sectors. The number of sectors for each color is as follows, where the label is listed first and the number of sectors is listed second: red, 3; blue, 2; yellow, 1; grey, 2. The larger wheel is divided into 12 equal sectors. The number of sectors for each color is as follows, where the label is listed first and the number of sectors is listed second: red, 4; blue, 2; yellow, 2; grey, 2; green, 2.B=blueG=greenY=yellowR=redg=greyThe probability is:_________ HEEEEEEELLLLP PLS FAST Simplify $\sqrt5-\sqrt{20}+\sqrt{45}$. Type the correct answer in each box, If necessary, use / for the fraction bar(s).1-1The point on the number line shows the opposite ofor the opposite of the opposite ofResetNext Help help help please I need help fast Drag words from the left to the correct blanks at the right. You may use the same words more than once. The sum of the number of protons and neutrons in an atom is called the . The number of protons in an atom is called the atom's________ . Each chemical element has a unique_________ . Most hydrogen atoms have only a single proton in their nucleus, so a hydrogen atom that also has one neutron is an_________ of hydrogen. An atom with more electrons than protons has a negative________ .isotopeatomic numberelectric chargeatomic mass number Select the correct answer from each drop-down menu.William finds a piece of pure iron in his garden. After a few days, the iron begins to rust. What are the two types of substances involved in the rusting process of iron?Iron is with one kind of atom that combines with oxygen from the air to form rust (iron oxide). Rust contains two types of atoms, which means it is . What is 75miles/hr in feet/second?(1mile = 5280feet) URGENT!! HELP! 25 POINTS FOR THESE QUESTIONS! What should be done to make Nepal a developed country? HI guys I have a question What precautions do you have to have after back surgery? Whenever currency is deposited into a commercial bank, cash goes out of circulation and, as a result, the supply of money is reduced.1. True2. False Use the place value chart to write 9.807. If the factory overhead is underapplied, then the adjusting journal entry to close the factory overhead account includes a: (Check all that apply.)\ Given that triangle DAE ~ triangle BAC, what is the length of side AE? find the values of x and y in the diagram and show work please it's for geometry class Determine the period of this function a. 6p c. 1 b. 4p d. -1 If you vertically compress the absolute value parent function, F(x) = |x|, bymultiplying by 3/4, what is the equation of the new function?