Someone answer quick please for brainliest !

Find the equation of the line that passes through (1,2) and is perpendicular to y=2x +3
Leave your answer in the form y=mx +c

Answers

Answer 1

Answer:

The equation of the line is

[tex]y = - \frac{1}{2} x + \frac{5}{2} [/tex]

Step-by-step explanation:

Equation of a line is

[tex]y = mx + c[/tex]

Where m is the slope

c is the y intercept

y = 2x + 3

Comparing with the above formula

m is 2

Since the lines are perpendicular the slope of the other line is the negative inverse of the original line .

That's

m = - 1/2

Equation of the line using point (1,2) and slope - 1/2 is

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

y - 2 = -1/2x + 1/2

y = -1/2x + 1/2 + 2

The final answer is

[tex]y = - \frac{1}{2} x + \frac{5}{2} [/tex]

Hope this helps you.


Related Questions

Fuel x cost $2 per gallon and fuel y cost $3 per gallon. You have at most $18 to spend on fuel. Write a system of linera inequalities to represent this situatiom

Answers

Answer:

[tex]2x + 3y \leq 18[/tex]

Step-by-step explanation:

Given :

fuel x is $2 i.e $2x

fuel y is $3  i.e $2y

As mention in the question the cost will be almost $18 to spending the fuel

So

Linear equation can be written as

[tex]2x + 3y \leq 18\\\ where\ x\geq 0\ and\ y\geq 0[/tex]

Answer:

2x + 3y <= 18, x >= 0, and y >= 0

Step-by-step explanation:

I NEED HELP WITH THIS WILL MARK BRAINLIEST!

Answers

Answer:

y=-2/5x-6

Step-by-step explanation:

The line crosses the y axis at -6 so the y intercept is -6. The line of the graph goes down 4 and right 10 so the slope is -4/10 which is equal to -2/5 when simplified.

Answer:

y= -2/5x -6

Step-by-step explanation:

The slope is 2/5, because slope is rise over run, and the two points rise 2, and run 5. The y intercept is -6, because the line crosses the y axis at -6. Slope intercept form is y= mx+b, where x and y are the points, and slope is m, and b is y intercept. So the equation is y= 2/5x -6. HOPE THIS HELPS!! :D This is a negative slope too, so the slope is negative.

Jesse takes two data points from the weight and feed cost data set to calculate a slope, or average rate of change. A rat weighs 3.5 pounds and costs $4.50 per week to feed, while a Beagle weighs 30 pounds and costs $9.20 per week to feed.

Answers

Answer:

The slope is  [tex]s =[/tex] $0.1774 / pounds

Step-by-step explanation:

From the question we are told that

   The weight of the rat is [tex]w_1 = 3.5 \ pound[/tex]

     The cost of feeding the rat per week is [tex]c_1 =[/tex]$4.50

     The weight of a Beagle is  [tex]w_2 = 30 \ pound[/tex]

     The cost of feed a Beagle per week is  [tex]c_2 =[/tex]$9.20

Now the slope can be evaluated mathematically as

           [tex]s = \frac{c_2 -c_1 }{w_2 -w_1 }[/tex]

substituting values

            [tex]s = \frac{9.20 -4.50 }{30 -3.5 }[/tex]

           [tex]s =[/tex] $0.1774 / pounds

Solve for x. 9^x = sqrt 729 A.)1/4 B.)1/3 C.)3/4 D.)3/2 please help this is urgent!!!

Answers

Answer:

D

Step-by-step explanation:

Using the law of radicals/ exponents

[tex]\sqrt{a^{3} }[/tex] ⇔ [tex]a^{\frac{3}{2} }[/tex]

Consider the right side

[tex]\sqrt{729}[/tex] = [tex]\sqrt{9^{3} }[/tex] = [tex]9^{\frac{3}{2} }[/tex]

Thus

[tex]9^{x}[/tex] = [tex]9^{\frac{3}{2} }[/tex]

Since the bases on both sides are equal, equate the exponents, so

x = [tex]\frac{3}{2}[/tex] → D

The sum of three numbers is 84 The second number is 2 times the first. The third number is 16 less than the second. What is the second number?

Answers

Answer:

40

Step-by-step explanation:

First let x represent the first number.

Let 2x represent the second number.

Let 2x-16 represent the third number.

x + 2x + 2x-16 = 84

5x -16 = 84

5x = 84 + 16

5x = 100

Divide both sides of the equation by 5 so that x can stand alone.

[tex]\frac{5x}{5} = \frac{100}{5}[/tex]

x = 20

∴ First number = x = 20

Second number = 2x = 40

Third number = 2x - 16 = 24

A freight train averages 20 miles per hour traveling to its destination with full cars and 30 miles per hour on the return trip with empty cars. What is the train's average speed for the entire trip

Answers

Answer:

24mph

Step-by-step explanation:

Let's say the distance between the destination is 10 miles. The train will reach the destination in 30 min for the first round and 20 min the second. Now, we can say, the train took 50 min to go 20 miles. Which is also 24mph. (5min=2miles)

The train's average speed for the entire trip is equal to 25 mph.

Given the following data:

Distance A = 20 milesTime A = 1 hourDistance B = 30 milesTime B = 1 hour

To determine the train's average speed for the entire trip:

First of all, we would find the total distance and total time for the trip respectively.

For total distance:

[tex]Total\;distance = Distance\;A + Distance\;B\\\\Total\;distance = 20+30[/tex]

Total distance = 50 miles

For total time:

[tex]Total\;distance = Time\;A + Time\;B\\\\Total\;distance = 1+1[/tex]

Total time = 1 hour

Mathematically, average speed is given by the formula:

[tex]Average\;speed = \frac{Total\;distance}{Total\;time} \\\\Average\;speed = \frac{50}{2}[/tex]

Average speed = 25 mph.

Read more: https://brainly.com/question/17742679

Find the least common multiple of 10 and 25, this time i am serious

Answers

Answer:

50

Step-by-step explanation:

25: 25, 50, 75, 100

10: 10, 20, 30, 40, 50

Answer:

50

Step-by-step explanation:

25: 25, 50, 75, 100

10: 10, 20, 30, 40, 50

Which phrase represents the algebraic expression 3p+6/7p-9

Answers

Answer:

The answer is the sum of three times a number and six, divided by the difference of seven times the number and nine

Step-by-step explanation:

3p = three x a number

7p = seven x a number

3p+6 = sum of three x a number plus six

7p-9 = difference of seven x the number minus nine

(3p+6)/(7p-9) = sum of three times x number plus six, divided by the difference of seven x the number - nine

Find the surface area of the square pyramid using its net.

Answers

Answer:

33 square units

Step-by-step explanation:

4 triangles - 1/2 * 3 * 4 = 24

base is 3 * 3 = 9

24 + 9 = 33

n a group of 60 students, 18 students take algebra I, 20 students take Algebra II, and 10 students take both subjects. How many students don’t take either of these subjects?

Answers

3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701938521105559644622948954930381964428810975665933446128475648233786783165271201909145648566923460348610454326648213393607260249141273724587006606315588174881520920962829254091715364367892590360011330530548820

Answer:

32 students take neither of the subjects

Step-by-step explanation:

If we add the 20+18 we get 38. But 10 of the students are counted twice. So subtract 10 from 38 to get 28. This way each of the students that take both subjects are only counted once. Then, we take the total number of students, 60 and subtract the 28 students taking algebra classes to get 32 students.

Can someone please help me I need help please help me please help

Answers

Answer: just graph these two equations

option a: y = 5x + 10

option b: y = 7.5x

and then tell at what number of event would having a card and not having a card is cheaper.

Step-by-step explanation:

the initial cost, $10, is your b value for the equation y = mx + b so yo would start here on the y axis. but for the second option you start at zero since you don't have a b value

Answer:

use this hope help you

option a: y = 5x + 10

option b: y = 7.5x

and then tell at what number of event would having a card and not having a card is cheaper.

Step-by-step explanation:

What is the range of this function?

Answers

The range will be the set of all the outputs.

So that's going to be {-8, -3, 5, 7}.

Answer:

{-8, -3 , 5 , 7}

Step-by-step explanation:

About domain and Range:

Let R be a relation from A to B. Then the set of first components or the set of elements of A are called domain and the set of second components or the set of elements of B are called the range.

Hope this helps...

Good luck on your assignment..

Find the range of the given function y = 5x + 2, where x > -2.

Answers

Answer:

{-3, 2, 7, ...... } is the range of given function.

Step-by-step explanation:

We are given that the function is defined as:

[tex]y = 5x + 2[/tex] where [tex]x > -2[/tex].

To find:

Range of the given function = ?

Solution:

First of all, let us have a look at the definition of Domain and Range.

Domain of a function f(x) is the set of input that is valid i.e. the value of x which are valid.

For example, in the given question, x > -2 i.e. x can be any value from the set {-1, 0, 1, 2, ......} is the domain of given function.

Range of a function f(x) is the set of output that is valid according to the input given.

For the given equation, let us put the value of x one by one and try to find out the value of y.

Putting x = -1 first:

[tex]y = 5 \times -1+2\\\Rightarrow y=-3[/tex]

Putting x = 0:

[tex]y = 5 \times 0+2\\\Rightarrow y=2[/tex]

Putting x = 1:

[tex]y = 5 \times 1+2\\\Rightarrow y=7[/tex]

So, the range is : {-3, 2, 7,......}

PLZ HELP!! I WILL NAME BRAINLIEST thxs

Answers

Answer:

1.) f(-2)=g(4)

2.) f(0) = g(-2)

3.) f(-4)=g(-2) and f(4)=g(4)

4.) -9

Step-by-step explanation:

help this is like the lasf oms ​

Answers

Answer:

678

86

8

Step-by-step explanation:

(7x^2+6) -(2x - 5) subtract

Answers

Answer:

7x² - 2x + 11

Step-by-step explanation:

(7x² + 6) - (2x - 5) → 7x² + 6 - (2x-5)

7x² + 11 - 2x → 7x² - 2x + 11

Answer: 7x² - 2x + 11

Hope this helped! :)

Answer:

7x^2-2x+11

Step-by-step explanation:

Please help thanks
a(n)=−6+3(n−1)

Answers

Answer:

a=-1

Step-by-step explanation:

a(n) = -6+3(n-1)

a(n) = -6+3n-3

a(n) -n=-6+3n-n-3

a=-6+3-3

+3 +3

a3=-3

---- ----

3 3

a=-1

Suppose a computer programmer in each of the five countries listed is offered a salary of $1,500 per month. Using the z scores and assuming that the computer programmer prefers a salary that has a higher relative value, the computer programmer from ______(what country) will likely be the most pleased with the offer, because a salary of $1,500 per month for this country corresponds to the_____.
a) highest z score
b) lowest z score
c) z score closest to zero

Answers

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

Suppose an industrial/organizational psychologist is interested in the relationships between job satisfaction, job performance, and job compensation. She has data from five different countries on the average monthly salaries paid to computer programmers. She begins her analysis by converting all of the salary data into U.S. dollars:

Country Average monthly salary   Standard deviation  Original currency

the Czech Republic   $1,059            $158.80             koruna

Latvia                           $790      $118.60                    lat

Korea                       $2,245            $673.60                  won

Romania                          $646          $96.80            leu

the United States          $4,141         $1,242.20        dollar

Suppose a computer programmer in each of the five countries listed is offered a salary of $1,500 per month. Using the z scores and assuming that the computer programmer prefers a salary that has a higher relative value, the computer programmer from ______(what country) will likely be the most pleased with the offer, because a salary of $1,500 per month for this country corresponds to the_____.

a) highest z score

b) lowest z score

c) z score closest to zero

Answer:

a) highest z score

Therefore, using the z scores and assuming that the computer programmer prefers a salary that has a higher relative value, the computer programmer from Romania will likely be the most pleased with the offer, because a salary of $1,500 per month for this country corresponds to the  highest z score .

Step-by-step explanation:

Let us calculate z-score corresponding to each country.

The z-score is given by

[tex]$ z = \frac{x-\mu}{\sigma } } $[/tex]

Czech Republic:

μ = $1,059

σ =  $158.80

[tex]z = \frac{1500-1059}{158.80 } } \\\\z = 2.77[/tex]

Latvia:

μ = $790

σ =  $118.60

[tex]z = \frac{1500-790}{118.60 } } \\\\z = 5.98[/tex]

Korea:

μ = $2,245

σ =  $673.60

[tex]z = \frac{1500-2245}{673.60 } } \\\\z = -1.10[/tex]

Romania:

μ = $646

σ =  $96.80

[tex]z = \frac{1500-646}{96.80 } } \\\\z = 8.82[/tex]

United States:

μ = $4,141

σ =  $1,242.20

[tex]z = \frac{1500-4141}{1242.20 } } \\\\z = -2.12[/tex]

Country                                  z-score

Czech Republic                   2.77

Latvia                                  5.98

Korea                                  -1.10

Romania                                  8.82

The United States                   -2.12

Therefore, using the z scores and assuming that the computer programmer prefers a salary that has a higher relative value, the computer programmer from Romania will likely be the most pleased with the offer, because a salary of $1,500 per month for this country corresponds to the  highest z score .

Which equation has the steepest graph?
A. y = 10x-5
B. y=3/4x-9
c. y = -14x+1
D. y = 2x + 8

Answers

The equation that has the steepest slope is y = -14x + 1

What is a slope?

A slope is the ratio of the change in the y-coordinates to the change in the x-coordinates of a line segment.

Analysis:

A line is said to be the steepest if it has the highest absolute value of the gradient or slope.

From the equations, the coefficient of x in the equations is taken as the slope.  y = -14x+ 1 is the equation with the highest absolute value 14. The absolute value means ignoring the minus sign, since it indicates a negative slope.

Learn more about slope: brainly.com/question/3493733

#SPJ2

Answer:

Y=-14x+1

Step-by-step explanation:

Find the measure of the remote exterior angle. m∠x=(4n−18)°m∠y=(n+8)°m∠z=(133−6n)° m ∠ x = ( 4 n − 18 ) ° m ∠ y = ( n + 8 ) ° m ∠ z = ( 133 − 6 n ) °

Answers

Answer:

67°

Step-by-step explanation:

The question is incomplete. Here is the complete question.

Find the measure of the remote exterior angle. m∠x=(4n−18)°, m∠y=(n+8)°, m∠z=(133−6n)° angle Z being the exterior angle.

Before we can get the exterior angle Z, we need to first calculate the value of n.

In geometry, the sum of interior angles is equal to the remote exterior angle.

m∠z = m∠x + m∠y

(133-6n)° = (4n-18)°+(n+8)°

133-6n = 4n-18+n+8

-6n-4n-n = -18-133+8

-11n = -143

n = 143/11

n = 13°

Since the exterior angle m∠z =(133-6n)°

Substituting n = 11 into the equation will give:

m∠z = 133-6(11)

m∠z = 133-66

m∠z = 67°

The remote exterior angle is 67°

Answer: 55

Step-by-step explanation:

R. Linda capital amount on january 1st was 151600 and there was an additional investment of 7600 on may 12 and withdrawls of 37900 for the year. Net income for the year was 24250. Prepare a statement of owners equity for the Lindal clinic for the year ended december 31

Answers

Answer:

$145,550

Step-by-step explanation:

R. Linda Clinic Statement of Owner's equity for the year ended, December 31.

Particulars

$

Beginning capital

151,600

Add additional

investment 7,600

Add net income

for the year 24,250

__________

183,450

Less drawings 37,900

_________

145,550

__________

Capital, December 31 (Ending capital )

The amount of $145,550 is the total owner's equity for the company.

Find the x-value for point C such that AC and BC form a 2:3 ratio.
A
4
2
B
-3-2
-1
2 3
4
5
6
ou

Answers

Answer:

B

Step-by-step explanation:

which of the following shows the polynomial below written in descending order?

Answers

Answer:

A

Step-by-step explanation:

The values must decrease x∧12≥3x∧7≥4x³≥9x

Help plz i will make u a brainllest 24.Can you use the SSS Postulate or the SAS Postulate to prove abd=dca? 26 28

Answers

Answer:  24) C. SSS only

               26) D. DH = HF

Step-by-step explanation:

24.

Statement                    Reason

1. BD = CA                    1. Given

2. AB = CD                  2. Given

3. AD = AD                  3. Reflexive Property

4. ΔABD = ΔDCA        4. SSS Congruency Theorem

We have no information about the angles so cannot use SAS Theorem.

26.  G H F

      E H D

Line up the letters to find the congruent sides:

⇒  GH = EH

    HF = HD

     GF = ED

What is the value of the expression below?
(9-3)+4(6-7)
0 -7
0 -1
0 7
O 20​

Answers

Hello!

Answer:

[tex]\boxed{ \bf The~value~of~the~expression~is~2.}[/tex]

__________________________________________________

Explanation:

We can solve this expression using the order of operations.

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

(In some places it might be called BEDMAS).

(9-3)+4(6-7)

Start by solving the brackets (parentheses).

6 + 4(-1)

Next, we must multiply 4 by -1.

6 + (-4)

This can be written as:

6 - 4

= 2

I think you meant to put 2 instead of 20 in the options.

Brian invests £2300 into his bank account.
He receives 10% per year simple interest.
How much will Brian have after 2 years?
Give your answer to the nearest penny where appropriate.

Answers

Answer:

2783 pounds

Step-by-step explanation:

He has got 2300. The factor by which that is multiplied is 1,1 (+10%).

The time given is 2 years. We will calculate it by using equation:

[tex]2300*1.1^{2}[/tex]

2783

need some help asap...............

Answers

Answer:

39.94 cm

Solution,

ABCD is a rectangle.

Given,

AC= 64 cm

AB= 50 cm

To find: Value of other side of TV

since, ABCD is a rectangle

<B= 90°

Using Pythagorean theorem:

[tex] {ac}^{2} = {ab}^{2} + {bc}^{2} \\ {64}^{2} = {50}^{2} + {bc}^{2} \\ {bc}^{2} = {64}^{2} - {50}^{2} \\ {bc}^{2} = 4096 - 2500 \\ {bc}^{2} = 1596 \\ bc = \sqrt{1596} \\ bc = 39.94 \: cm[/tex]

Hope this helps...

Good luck on your assignment..

Which of the following slopes of a line passes through points (1, -3) and (0, 2)?

Answers

Answer:

0.5

Step-by-step explanation:

2-0=-2

-3-1=-4

-2/-4=0.5

Mia jogs 3 kilometers in 20 minutes. There are about 0.6 miles in a kilometer. What is Mia’s approximate speed in miles per minute? Answer-0.09 miles per minute

Answers

Answer:

-0.09 miles per minute

Step-by-step explanation:

For A (1, -1), B(-1,3), and C(4, -1), find a possible location of a fourth point, D, so that a
parallelogram is formed using A, B, C, D in any order as vertices.

Answers

Answer: c, b, a, d

Step-by-step explanation: that is correct

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Equation 2:___________________________________________________________________ What strategy are you using to solve this equation and why? ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ Show your work and solution for solving this equation: 3) Equation 3 should represent a parabola that is a vertical stretch of the parent function and has a y-intercept greater than 3 and opens down. 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