What is an equation of the line that passes through the point (5, 1) and is parallel to
the line x + y = 9?

Answers

Answer 1

Answer:

Step-by-step explanation:

y = -x + 9

y - 1 = -(x - 5)

y - 1 = -x + 5

y = -x + 6

Answer 2

The equation of the line that passes through the point ( 5, 1 ) and parallel to the line x + y = 9 is x + y = 6.

Here,

The point is given as ( 5, 1 ).

The equation of line is parallel to the line x + y = 9.

What is Equation of line?

The general equation of straight line is given as, [tex]y - y_{1} = m ( x-x_{1} )[/tex]

where, m is slope of line and ( x₁ , y₁) is point.

Now,

The equation of line is parallel to the line x + y = 9.

Hence, both line have same slope.

The slope of line x + y = 9 is given as,

⇒ y = -x + 9

compare with equation of line y = mx + c , we have;

Slope = -1

The equation of the line passes through the point ( 5, 1 ) and slope -1 is;

y - 1 = -1 ( x - 5)

y - 1 = -x + 5

   y = -x + 6

Hence, The equation of the line that passes through the point ( 5, 1 ) and parallel to the line x + y = 9 is x + y = 6.

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Related Questions

Ryan says that the sum of any two numbers is rational. Which of the following is a counterexample?
O 2 + 2 = 4
O 10 + 0.998987... = 10.998987...
0 +=1
5 +2.7 7.7

Answers

Answer: 10 + 0.998987... = 10.998987

Step-by-step explanation:

I just took the test today and this was the answer.

Caroline walks 912 inches per second. As unit rate

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Answer:

specify please

Step-by-step explanation:

Answer:

I have been trying to get this answer for the longest

Step-by-step explanation:

         

Graph the line with slope of 53
5/3 and goes through the point (2,1).

Answers

Answer:

We kindly invite you to see the image attached for further details.

Step-by-step explanation:

From Analytical Geometry we get that linear functions can be found after knowing a point and its slope. The standard form of a linear function is represented by the following formula:

[tex]y =m\cdot x +b[/tex] (Eq. 1)

Where:

[tex]x[/tex] - Independent variable, dimensionless.

[tex]y[/tex] - Dependent variable, dimensionless.

[tex]m[/tex] - Slope, dimensionless.

[tex]b[/tex] - y-Intercept, dimensionless.

At first we need to calculate the y-Intercept, which is cleared within (Eq. 1):

[tex]b = y-m\cdot x[/tex]

If we know that [tex]y = 1[/tex], [tex]x = 2[/tex] and [tex]m = \frac{5}{3}[/tex], then the y-Intercept of the linear function is:

[tex]b = 1-\left(\frac{5}{3} \right)\cdot (2)[/tex]

[tex]b = -\frac{7}{3}[/tex]

Line with a slope of [tex]\frac{5}{3}[/tex] that goes through the point (2, 1) is represented by [tex]y = \frac{5}{3}\cdot x -\frac{7}{3}[/tex].

Lastly, we graph the line by using a plotting software (i.e. Desmos), whose result is included below as attachment.

is the function y= sin(x)/x even, odd or neither

Answers

the function is odd

The function y = sin(x) / x is an even function.

What is an even function?

Even Function - A true function f(x) is said to be an even function if the output value of f(-x) is the same as the f(x) for all values of x in the domain of f.

The equation should be stored in an even function:

f(-x) = f(x)

The function is given as,

y = sin(x) / x

Put x = -x, then we have

y = sin(-x) / (-x)

y = -sin(x) / (-x)

y = sin(x) / x

The function y = sin(x) / x is an even function.

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Please help! Will give brailiest!

Answers

B is the answer becuase the slope is -1/4 and the b is +3
The answer is D. Below I have attached my work. Hope this helps!!

For each expression, x = 9 and y = 3.

2x · 4y - 10

a. 12
b. 10
c. 20
d. 6

Answers

Answer

the answer is C. 20 :)

Step-by-step explanation:

hope it helps!

Please help the picture is above. I’ll mark as brainliest.

Answers

Answer:

s= 2000n + 55000

comparing with y= mx +c

The slope of given line is 2000 which represents that  the salary of camden increases at the rate of 2000 per year .

Step-by-step explanation:

Identify the set of numbers that best describes the situation. Explain your choice.
The weight of a person in pounds.
129.3lb
please help will give brainiest

Answers

Answer:

Step-by-step explanation:

it's a rational number because it can't be a whole number with the decimal point and it can't be an integer because it's not a negative or positive number it also can't be an irrational number because an irrational number isn't a terminating or repeating decimal its a rational number because it's a terminating number

convert 4 5/6 into a decimal

Answers

Answer:

4.8333

Step-by-step explanation:

It is a repeating decimal. Hope it helps

The decimal form of the given fraction is 4.8333

What is decimal form?

Decimals are the numbers, which consist of two parts namely, a whole number part and a fractional part separated by a decimal point. For example, 12.5 is a decimal number.

Given that, convert 4 5/6 into a decimal,

The given mixed fraction is =

4 5/6

Converting into fraction,

29 / 6

Dividing 29 by 6, we get,

29 / 6 = 4.833

Hence, the decimal form of the given fraction is 4.8333

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I don't get this Please help asap!?

Answers

Answer:

Step-by-step explanation:

I think it’s 6

Answer:

it's 6 inches

Step-by-step explanation:

I measured it

Raquel can type 63 words every minute. Rick can type 73 words every minute. How many more words can Rick type than Raquel in 135 minutes?
Group of answer choices

Answers

Answer:

1350 words

Step-by-step explanation:

8505 is the amount of words raguel can type in 135 minutes. 9855 is the amount Rick can type in 135 min. 9855-8505=1350 which is the answer

Please help me find

Answers

Answer:

150 feet

Step-by-step explanation:

the ratio of her shadow to her height

2/5=60/150

60/150=2/5

i hope it is right

Answer:

The answer is C) 150 feet

Is rigth

Step-by-step explanation:

2/5=60/150

2/5= 0.4

60/150=0.4

Define constant of proportionality.

Answers

Answer:

Step-by-step explanation:

The constant of proportionality is the constant value of the ratio of two proportional quantities x and y, typically the equation is Y=KX. The constant of proportionality is, the value of Y is dependent on how the given value of X is effected by the constant of proportionality.

The value of a comic book in the dollars has been found to be 0.20y + 1.50, where y is tye number of years since it was released. for the question there is increasing per year for the comic and the initial value​

Answers

The increase rate per year is 0.

What is calculus?

Calculus is a branch οf mathematics that deals with the study οf rates οf change and hοw things change οver time. It has twο main branches, differential calculus which studies instantaneοus rates οf change, and integral calculus which deals with accumulatiοn and area.

here given equatiοn fοr the value οf the cοmic bοοk is:

V(y) = 0.20y + 1.50

where y is the number οf years since it was released.

Tο find the rate οf increase per year fοr the value οf the cοmic bοοk, we can take the derivative οf V(y) with respect tο y:

dV/dy = 0.20

This means that the value οf the cοmic bοοk increases by 0.20 dοllars per year.

Tο find the rate οf increase per year fοr the initial value οf the cοmic bοοk, we need tο lοοk at the y-intercept οf the equatiοn fοr V(y). The y-intercept is the value οf V when y is 0, which is:

V(0) = 0.20(0) + 1.50 = 1.50

Therefοre, the initial value οf the cοmic bοοk is $1.50.

Tο find the rate οf increase per year fοr the initial value, we can calculate the derivative οf the initial value with respect tο y, which is:

d/dy (1.50) = 0

This means that the initial value οf the cοmic bοοk dοes nοt change with respect tο time, sο its rate οf increase per year is 0.

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what is the inverse of f(x)? show the work
f(x)+3x+5

Answers

Answer:

[tex]f^-^1(x)=\frac{1}{3}x-\frac{5}{3}[/tex]

Step-by-step explanation:

To solve for the inverse, we need to switch the variables and solve for y.

Note that f(x) is the same as y or in other words, the output.

f(x) = 3x + 5

y = 3x + 5

~Switch variables

x = 3y + 5

~Subtract 5 to both sides

x - 5 = 3y

~Divide 3 to everything

1/3x - 5/3 = y

~Flip

y = 1/3x - 5/3

Best of Luck!

Solve the inequality:


4x−2≤6

Select one:

x≥1

x≤2

x≥2

x≤1

Answers

Answer:

x≤2

Step-by-step explanation:

To do this, first add over the 2. That makes 4x≤8. Then divide by 4. That make x≤2

Answer:

x≤2

Step-by-step explanation:

4x-2≤6 add to 2 to both sides

4x≤8 divide both sides by four

x≤2

Hope this helps! :)

A student calculated the density of copper to be
8.37 g/cm3. The accepted value for the density of
copper is 8.92 g/cm3. What is the percent error in the
density?

Answers

Answer:

0.55/8.92×100

55/8.92

=6.17%

Write a line that is parallel to y = -3x -4​

Answers

Answer:

A parallel line to "y = -3x -4"

Is

"y = -3x"

Step-by-step explanation:

D 145
which expression is equivalent to 5(4x + 3) - 2?
А
187 + 15
B
187 + 3
C 7x + 8
D 2r + 8

Answers

Answer:

C

Step-by-step explanation:

No option is equal to the expresion, but.C is similar.

Jackson was solving the problem below for k. However, he made a mistake.

19 - 2k = 3k - 1

+3k +3k

19 +1k = -1

-19 -19

k = -20



Part A: Identify the FIRST mistake Jackson made.

Part B: Solve for k.

Answers

Part A: Jackson added 3k instead of subtracting it from both sides.

Part B: 19 - 2k = 3k - 1
Subtract 3k from both sides
19 - 5k = - 1
Subtract 19 from both sides
- 5k = -20
Divide by -5 on both sides
K=4

What is –96 ÷ +3? im a little confused when it comes to math

Answers

It’s -32
You’d do 96 divided by 3 with long division and put - in front of the answer

Why is brainliest so important and why is leveling up so important

Answers

Answer:

Its is so u get points make me he brainlst thx

Step-by-step explanation:

Which describes the slope of the given line?

Answers

Answer:

Negative

Step-by-step explanation:

because it's going down towards the right.

eleven times onennumber is 9 more than 8 times another number. the first number minus four is half the second number. find the numbers

Answers

Answer:

I'm pretty sure its 11 and 14

Step-by-step explanation:

Sorry if i'm wrong or can't help more.

1. Armando started a new job as a mechanical engineer for a coal plant with an
annual salary of Php 200 000.00 in 2010. If she receives a Php 24 000.00 raise
each year, how much will her annual salary be in 2020?​

Answers

Answer:

224,000

Step-by-step explanation:

annually she earns 200,000and a raise of 24,000 each year hence the sum of the two will get you an asnwer

A certain middle school opens at 7 A.M., and classes begin at 8 A.M. A sociologist gathered data on the number of minutes after 7 A.M. that a student arrives at school and the number of friends the student has on social media. The correlation between the two variables indicated a strong negative relationship. Which of the following is an appropriate interpretation of the correlation?

Answers

Answer:

As the number of minutes of arriving after 7 A.M. increases, the number of friends on social media tends to decrease.

Step-by-step explanation:

Correlation does not imply causation. Also, the negative relationship indicates that as the number of minutes of arriving after 7 A.M. increases, the number of friends on social media tends to decrease.

What is the slope of the line that passes through the points (5.3) and (-4,-1)

Answers

Answer:

y = 4/9x + 1

Step-by-step explanation:

PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

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0 is 14, 1 is 12.25, 2 is 10.50, and 3 is 8.75

Identify the domain of the relation (-5, 10), (-2, 11), (1, 4), (5, 10) *

Answers

Answer:

-5,-2,1,and 5

Step-by-step explanation:

Points A, B, and C are collinear. Point B is between A and C. Solve for x
AB= 3x, BC= 2x - 2 , and AC= 18. Find x.

Answers

Answer:

x=4

Step-by-step explanation:

You set the equation up like this

3x+2x-2=18

5x-2=18

5x=20

x=4

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