Write an equation perpendicular to x-3y=3 passes through (5,-9)

Answers

Answer 1
3y=x-3
y=1/3x-1
Perpendicular slope: -3
y=-3x+b
Plug in the coordinates in the equation:
-9=-3(5)+b
-9=-15+b
4=b
Equation: y=-3x+4
Also, when finding the perpendicular slope you take the reciprocal of the original slope and make it negative if it is positive and make it positive if it’s negative.
Answer 2

 Equation of a line perpendicular to x - 3y = 3 will be y = -3x + 6.

    If two lines having slopes [tex]m_1[/tex] and [tex]m_2[/tex] are perpendicular, property of perpendicular lines shows,

[tex]m_1\times m_2=-1[/tex]

Line given in the question is,

x - 2y = 3

-2y = 3 - x

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

Slope of this line is,

[tex]m_1=\frac{1}{3}[/tex]

Therefore, slope of the perpendicular line to the given line will be,

[tex]\frac{1}{3}\times m_2=-1[/tex]

[tex]m_2=-3[/tex]

Equation of a line passing through a point (h, k) and slope 'm' is given by,

y - k = m(x - h)

Therefore, equation of a line passing through (5, -9) and slope (-3) will be,

y - (-9) = -3(x - 5)

y + 9 = -3x + 15

y = -3x + 6

      Hence, equation of the line perpendicular to x - 3y = 3 will be y = -3x + 6.

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Related Questions

What is the answer for 2/5x5/8 ?

Answers

It would be 1/4 because you would change them to a common denominator then simply them and you get 1/4

complete the sequence:1,1,2,3,5,_,_,_

Answers

Answer:

8,13,21

Step-by-step explanation:

Basically,add the previous number to next number

Answer:8,13,21

Step-by-step explanation:

Find the circumference of a circle whose
area is 49pi sq units.​

Answers

Answer: C=2πr

r Radius

This is for someone that i was suppost to give brainliest to lol

Answers

Answer:

ok does that mean me dont get brainliest

Step-by-step explanation:

How many randomly chosen guests should I invite to my party so that the probability of having a guest with the same birthday as mine is at least 2/3?

Answers

Answer:

At least 401 chosen guests

Step-by-step explanation:

Represent those with same birth day with Same

So:

[tex]P(Same) > \frac{2}{3}[/tex]

Represent number of people with n

There are 365 days in a year and 364 days out of these days is not your birthday.

So, there the probability that n people do not share your birthday is [tex](\frac{364}{365})^n[/tex]

i.e.

[tex]P(none) = (\frac{364}{365})^n[/tex]

Solving further, we have that:

[tex]P(same) + P(none) = 1[/tex]

[tex]P(same) + (\frac{364}{365})^n = 1[/tex]

[tex]P(same) = 1 - (\frac{364}{365})^n[/tex]

We're calculating the probability that [tex]P(Same) > \frac{2}{3}[/tex].

So, we have:

[tex]1 - (\frac{364}{365})^n > \frac{2}{3}[/tex]

Collect Like Terms

[tex]1 - \frac{2}{3}> (\frac{364}{365})^n[/tex]

[tex]\frac{3-2}{3}> (\frac{364}{365})^n[/tex]

[tex]\frac{1}{3}> (\frac{364}{365})^n[/tex]

[tex]3^{-1} > (\frac{364}{365})^n[/tex]

Take natural logarithm (ln) of both sides

[tex]ln(3^{-1}) > ln((\frac{364}{365})^n)[/tex]

[tex]-ln\ 3 > n\ ln\ (\frac{364}{365})[/tex]

Apply laws of logarithm

[tex]-ln\ 3 > n\ (ln(364) - ln(365))[/tex]

Multiply through by -1

[tex]ln\ 3 < n\ (ln(365) - ln(364))[/tex]

Solve for n

[tex]\frac{ln\ 3}{(ln(365) - ln(364))} < n[/tex]

Reorder

[tex]n > \frac{ln\ 3}{(ln(365) - ln(364))}[/tex]

[tex]n > \frac{1.09861228867}{(5.89989735358 - 5.89715386764)}[/tex]

[tex]n> \frac{1.09861228867}{0.00274348594}[/tex]

[tex]n > 400.443928891[/tex]

[tex]n > 400[/tex] (approximated)

This implies that n = 401, 402, 403 .....

i.e

[tex]n \geq 401[/tex]

So, at least 401 people has to be invited

f(1) = 6 f(n) = f(n – 1) – 5 for integer values of n > 1

Answers

look it up lol thats what i di

what is principal in simple intrest​

Answers

You have to pay extra money when you pay it back after you borrow it.So interest is: the amount of money you pay back on top of the original money you borrowed. The meaning of the word principal is: the original amount of money you borrowed.

Jason and 4 friends went bowling. Three friends rented shoes for $2 each. The total cost to rent the shoes and the lane fees was $42. What was the cost of the lane fees for each person?

Answers

the answer would be $7.20

Answer: 7.20$

Step-by-step explanation:

Since there are five people over all, and three of them bought shoes for 2$, you would take 2$ Times that by 3 = 6$, now take that 6$ and subtract that by the 42$, leaving you with 36$ left. Take that 36$ and divide it among the 5 people and you get 7.20$ for a lane

Eighty percent of students surveyed said they feel more focused after exercising. Nine hundred fifty students were surveyed. How many students said they feel more focused after exercising? 380 570 760 930

Answers

Answer:

760

Step-by-step explanation:

Answer:

760

Step-by-step explanation:

The Jimenez family is bringing 12 packages of hamburger and hotdog buns to the neighborhood picnic. The hamburger buns cost $2.00 per package. The hot-dog buns cost $1.50 per package. They spent $20 for the buns. Create and solve a system of equations that can be used to find the number of packages of each type of bun purchased.

Answers

Answer:

The system of equations is x + y = 12 and 2x + 1.5y = 20

The number of packages of the hamburger is 4

The number of packages of the hotdog is 8

Step-by-step explanation:

Assume that they bringing x packages of hamburger y packages of hotdog

∵ x represents the number of packages of hamburger

∵ y represents the number of packages of hotdog

∵ Jimenez family is bringing 12 packages of hamburger and hotdog buns

x + y = 12 ⇒ (1)

∵ The hamburger buns cost $2.00 per package

∵ The hot-dog buns cost $1.50 per package

∵ They spent $20 on the buns

2x + 1.5y = 20 ⇒ (2)

The system of equations is x + y = 12 and 2x + 1.5y = 20

Let us solve it to find x and y

→ Multiply equation (1) by -1.5 to make the coefficients of y equal in

   values and different in signs to eliminate it

∵ -1.5(x) + -1.5(y) = -1.5(12)

-1.5x - 1.5y = -18 ⇒ (3)

→ Add equations (2) and (3)

∵ (2x + -1.5) + (1.5y + -1.5y) = (20 + -18)

∴ 0.5x = 2

→ Divide both sides by 0.5 to find x

x = 4

→ Substitute the value of x in equation (1) or (2) to find y

∵ 4 + y = 12

→ Subtract 4 from both sides

∴ 4 - 4 + y = 12 - 4

y = 8

The number of packages of the hamburger is 4

The number of packages of the hotdog is 8

If an object moves in a straight line with position function s = f(t), then the average velocity between t = a and t = b is
f(b) − f(a)/b − a
and the velocity at t = c is f '(c). Thus the Mean Value Theorem tells us that at some time t = c between a and b the instantaneous velocity f '(c) is equal to the average velocity. For instance, if a car traveled 150 km in 2 hours, then the speedometer must have read km/h at least once.
In general, the Mean Value Theorem can be interpreted as saying that there is a number at which the instantaneous rate of change is equal to the average rate of change over an interval.

Answers

Answer:

75 km/hr

Step-by-step explanation:

So, if a car travels 150 km in 2hours.

Then;

f(t=0) = 0

f(t = 2 hours) = 150 km

Therefore;

f'(c) (speedometer reading) = f(t=2)-f(t=0)/(2-0)

f'(c) (speedometer reading) = 150/2  km/hr

f'(c) (speedometer reading) = 75 km/hr

What is the value of the expression 3/19 7/2

Answers

Answer:

It is 2/15

Step-by-step explanation:

[tex]\frac{3}{19\frac{7}{2} } =\frac{3}{\frac{45}{2} }\\=\frac{2}{15}[/tex]

Dont know if this helps but here you go :)

Solve this system for m and b 342=23m+b 147=10m+b

Answers

Answer:

b = − 3

m = 5 ( 39 + 2 m ) /23

1. m= 342-b/23
2.m= 147-b/10

please help will give brainlyest again

Answers

Answer:

8

_

12 I think

that's it it you can cross multiple it will be 7/10

The square shown has sides of length 6z^7 decimeters. Find it’s area

Answers

Answer:

49z^10 dm^2

Step-by-step explanation:

Linear equation: -1 (6x + (6x + 10) = 13
Step 1: -3x - 5 = 13
Step 2: -3x = 18
Step 3: x= -6

Which sequence describes the inverse operations used for steps 2 and 3 to solve the linear equation?
O the addition property of equality and then the division property of equality
O the addition property of equality and then the multiplication property of equality
O the subtraction property of equality and then the division property of equality
O the subtraction property of equality and then the multiplication property of equality

Answers

Answer:

the addition property of equality and then the division property of equality

To find 7% of a total you can multiply the total by
(1) 7 (3)
(2) 0.7
(3) 7/10
(4) 0.07

Answers

2.
You make 7% into a decimal and then multiply the total by 0.7

-4q= 52
HELP!!!!!!!!!!!!!!!!!!!!!
Algebra 1

Answers

hi

-4q= 52

   q = 52/ -4

    a =  -13

Answer:

-13

Step-by-step explanation:

-4q=52

divide both side by -4

-4q/-4=52/-4

q=-13

Please help thanks :)

Answers

Answer:

Distributive Property

Step-by-step explanation:

[tex]x(8x+3y)\\We\ multiply\ the\ term\ outside\ brackets\ with\ terms\ inside\ the\ bracket\ equally,\\through\ the\ distributive\ property\ method\ .\\\\Hence,\\x(8x+3y)\\=8x*x+3y*x\\=8x^2+3xy[/tex]

Suppose babies born in a large hospital have a mean weight of 3685 grams, and a variance of 330,625. If 113 babies are sampled at random from the hospital, what is the probability that the mean weight of the sample babies would differ from the population mean by greater than 50 grams? Round your answer to four decimal places.

Answers

its not greater than 50 grams. and the answer rounder to the four decimal places is 32.6106

Bella is learning to type. She typed a letter to her teacher but misspelled 8 words. If she misspelled 25% of the words she typed. how many words did she type in her letter I'm taking a test I need this ASAP​

Answers

Answer:

She typed 32 words in her letter

Step-by-step explanation:

Assume that the letter has x words

She typed x words in her letter

∵ She misspelled 8 words

∵ She misspelled 25% of the words she typed

She misspelled 25% of x

→ That means 8 is equivalent to 25% of x

∴ 25% of x = 8

25% × x = 8

→ Change 25% to decimal by divide it by 100

∵ 25% = 25 ÷ 100 = 0.25

∴ 0.25 × x = 8

∴ 0.25x = 8

→ Divide both sides by 0.25

∵ [tex]\frac{0.25x}{0.25}[/tex] = [tex]\frac{8}{0.25}[/tex]

x = 32

∵ x represents the number of words that she typed in the letter

She typed 32 words in her letter

The slope of the line is ?

Answers

Answer:

slope= 4,

Step-by-step explanation:

y = 4x-6

Solve the equation and describe what your answer. What happens? 5x-7=2x+1+3x

Answers

You combined like terms

Answer: The Answer is 0

Step-by-step explanation:

The key here is combining like terms. Here:

1) 5x-7=2x+1+3x

2) 5x-7=5x+1

Then you add 7 to both sides anywhere that there is no variable. You also subtract 5x to the other 5x

3) 0x=8

When you divide by zero on both sides, your answer should be 0

James deposited $575 into a bank account that earned 5.5% simple interest each year. No money was deposited into or withdrawn from the account. How much money was in the account after ​ ​ 2 1/2 ​ ​ years? Round your answer to the nearest cent.

Answers

Answer:

$654.06

Step-by-step explanation:

ジオメトリヘルプミープリーズは、速くて正しい場合に最も頭が良くなります

関係のドメインは? 1)関係の出力(y)値2)関係の入力(x)値3)入力値をペアにするポイントのセット…

f(x)= 16 – x ^ 2、g(x)= 4 –xとします。 (fg)(x)とその定義域を見つけます。

助けてくださいお願いします

助けてください

Answer: the answer would be 79.06

Step-by-step explanation:

Given g(x)=−x−4, find g(5)

Answers

Answer:

-9

Step-by-step explanation:

Plug it in

g(x)=-x-4

g(5) meaning that x=5

Thus,

-5-4=-9

Hope it find it helpful :)

Answer:

-1

Step-by-step explanation:

Given g(x) = -x + 4, find g(5)

g(x) = -x+4

g(5) = -(5) + 4          Plug input into x

-5 + 4                       Negate

-1                              Add

Which of the following describes the roots of the polynomial function f (x) = (x + 2) squared (x minus 4) (x + 1) cubed?
–2 with multiplicity 2, 4 with multiplicity 1, and –1 with multiplicity 3
–2 with multiplicity 3, 4 with multiplicity 2, and –1 with multiplicity 4
2 with multiplicity 2, –4 with multiplicity 1, and 1 with multiplicity 3
2 with multiplicity 3, –4 with multiplicity 2, and 1 with multiplicity 4

Answers

Answer:

A

Step-by-step explanation:

[tex]f(x) = (x + 2)^2(x-4)(x + 1)^3[/tex]

x+2=0

x+2-2=0-2

x=-2.....(x+2) was squared...exponent of 2...multiplicity of 2

x-4=0

x-4+4=0+4

x=4....(x-4) has no visible exponent which means it is essentially to the power of 1...multiplicity of 1

x+1=0

x+1-1=0-1

x=-1....(x+1) was cubed...exponent was 3...multiplicity of 3

The roots and their respective multiplicity are –2 with multiplicity 2, 4 with multiplicity 1, and –1 with multiplicity 3 thus option (A) is correct.

What are the roots of an equation?

The roots of an equation are the solution of that equation, since an equation consists of hidden values of the variable so to determine them by different processes and then the resultant is called roots.

For example root of x -4 = 0 is x = 4 so 4 will be the only root of this linear equation.

As per the given function,

f(x) = (x + 2)²(x - 4)(x + 1)³

The roots are the points at which the value of the function is zero.

f(x) = 0

(x + 2)²(x - 4)(x + 1)³ = 0

(x + 2)² = 0

x = -2 (with a multiplicity of 2)

(x - 4) = 0

x = 4  (with a multiplicity of 1)

(x + 1)³ = 0

x = -1  (with a multiplicity of 3)

Hence "The roots and their respective multiplicity are –2 with multiplicity 2, 4 with multiplicity 1, and –1 with multiplicity 3 thus option (A) is correct".

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List the transformations of the function. *
5 points
f(x)= (1/2(- 1/4(x-3))+1

Answers

Answer:

Transformations of function f(x) = 1/2(-1/4(x-3)) + 1 :

vertical compressionhorizontal stretchreflection across y-axistranslates righttranslates up

If the average price of a new one-family home is $246,300 with a standard deviation of $15,000, find the minimum and maximum prices of the houses that a contractor will build to satisfy the middle 60% of the market. Assume that the variable is normally distributed.

Answers

Answer:

Step-by-step explanation:

P(-a<z<a)=0.60, from the symmetry of normal distribution, P(z<a) = 0.60+ (1-0.60)/2 =

0.60+0.4/2

0.60+0.2

= 0.8

Considering the standard normal distribution table, we have a = 0.80, thus

z =(x-m)/std = 0.80

the maximum x = m + 0.80×std =

Where m = 246300

Std = 15000

246300+0.80×15000

= 246300+12000

= 258300

For the minimum x

x = m - 0.80×std

x = 246300-0.80×15000

246300-12000

= 234300

What is the maximum for: P = 3x + 2y

Answers

Answer:

The maximum value of the function P= 3x + 2y

There is an accompanying graph in this problem. In the graph, there are 4 points to consider. I'll just assign letters on each point.

Point O is found in x = 0 ; y = 0 or (0,0)

Point A is found in x = 8 ; y = 0 or (8,0)

Point B is found in x = 6 ; y = 5 or (6,5)

Point C is found in x = 0 ; y = 8 or (0,8)

We will substitute x and y in the equation by its values per point.

Point A = 3(8) + 2(0) = 24 + 0 = 24

Point B = 3(6) + 2(5) = 18 + 10 = 28

Point C = 3(0) + 2(8) = 0 + 16 = 16

The 7th grade class took a survey on their faviorte ice cream. 58 people said they perfer vanilla, while 28 people said they pefer chocolate. Write a ratio comparing chocolate to vanilla.

Answers

Answer:
58:28

Step-by-step explanation:
simplified its 29:14!
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