PLEASE HELP!!!!!
What is the equation of a line that is perpendicular to -x+2y=4 and passes through the point (-2,1) ?

Write the equation -x+2y=4 in slope-intercept form

Identify the slope of the line represented in part a.



What is the slope of the line perpendicular to the line in steps a and b?



Write the equation of the perpendicular line in slope-intercept form.

Answers

Answer 1

Answer:

y=1/2x+b

Step-by-step explanation:

-x+2y=4 = 2y=x+4

2y/2=(x+4)/2 = y=1/2x+2

1=1/2(-2)+b = 1=-1+b = 2=b

y=1/2x+2

slope= 1/2

y-intercept= 2

*/= division*


Related Questions

Reduce all answers to their
lowest terms.
4 x 5/7

Answers

Answer:

2 6/7

Step-by-step explanation:

Solve each system by graphing or using a table. Check your answers.
2x+y=−1
−x−2y=−4

Answers

Answer:

Step-by-step explanation:

Answer:

The first one: y = 2x - 1

The second one: y = 1/2x + 2

And if the second one is wrong, then it's y = x + 2.

Question 6(Multiple Choice Worth 4 points)
(03.04 LC)
When the function f(x) = 4(2)* is changed to f(x) = 4(2)* - 13. what is the effect?
O There is no change to the graph because the exponential portion of the function remains the same
O The x-intercept is 13 spaces higher.
© The y-intercept is 13 spaces lower.
O All input values are moved 13 spaces to the left

Answers

Answer:

C, the plus or minus at the end of a function stands for the point on the y axis going up or down 13.

Step-by-step explanation:

Brainlyest pls I need 1 more to level up

It would be 13 spaces lower because f(x) always equals y and -13 means you are going down 13 units.

Plz mark me brainliest

At Stop n Shop they are selling fried chicken for $1.95 a pound. If Amiyah buys 13.2 pounds how much will she spend?

Answers

Answer:

Step-by-step explanation:

Price of one pound = 1.95

Price of 13.2 pounds = 13.2 x 1.95 = 25.74

Find the gradient of the line perpendicular to AB
Find the equation of the line perpendicular to AB and passing through point C

Answers

Answer:

a) 3

b) y=3(x-2)-2

Step-by-step explanation:

a)

Step 1: Find the gradient/slope of AB

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]=[tex]\frac{-2-2}{7-(-5)} =\frac{-4}{12} =-\frac{1}{3}[/tex]

Step 2: Find the gradient/slope of the line perpendicular to AB

The slope of the line perpendicular to AB is the reciprocal of the slope of the line AB multiplied by -1, so the slope of the line perpendicular to AB is 3.

b)

Step 1: Find the formula for the equation of a line

If you have a point and the slope, you can use the point-slope form, which is y-y1=m(x-x1).

Step 2: Plug in values to the formula

y-(-2)=3(x-2)

Step 3: Simplify

y+2=3(x-2)

y=3(x-2)-2

[tex]$a)$[/tex] The gradient of a line perpendicular to line [tex]$AB$[/tex] is [tex]$3$[/tex].

[tex]$b)$[/tex] The equation of the line perpendicular to line [tex]$AB$[/tex] and passing through point [tex]$C$[/tex] is [tex]y=-\frac{1}{3}x+\frac{13}{3}[/tex].

What is slope of perpendicular lines?

Lines that are perpendicular lines have slopes that are negative reciprocals.

It is given that the points,

[tex]$A=\left( -5,2 \right)$[/tex]

[tex]$B=\left( 7,-2 \right)$[/tex]

[tex]$C=\left( -2,5 \right)$[/tex]

[tex]$a)$[/tex] We will find the gradient of a line perpendicular to line [tex]$AB$[/tex] by using the slope formula.

So,

By the definition, the slope or gradient of a line describes its steepness, incline, or grade.

[tex]$m=\frac{{{y}_{2}}-{{y}_{1}}}{{{x}_{2}}-{{x}_{1}}}$[/tex] which is equal to [tex]$\tan \left( \theta \right)$[/tex].

Where [tex]$m$[/tex] is the slope and [tex]$\theta $[/tex] is the angle of incline.

So,

Slope [tex]$\left( m \right)=\frac{-2-2}{7-\left( -5 \right)}$[/tex]

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

So, The slope of the line perpendicular to [tex]AB[/tex] is the reciprocal of the slope of the line [tex]AB[/tex] which is multiplied by [tex]-1[/tex].

so the slope of the line perpendicular to [tex]AB[/tex] is [tex]3[/tex].

[tex]b)[/tex] We will find the equation of the line perpendicular to [tex]AB[/tex] passing through the point [tex]C[/tex] that is [tex](-2,5)[/tex] by using the formula,

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

Here,

[tex]y=5[/tex]

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

We will find the [tex]y-[/tex] intercept of the line [tex](b)[/tex] first.

So,

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

[tex]$5=\frac{2}{3}+b$[/tex]

Subtract [tex]\frac{2}{3}[/tex] both side.

So,

[tex]$b=\frac{13}{3}$[/tex]

So, the line perpendicular to [tex]AB[/tex] and passing throught the point [tex]C[/tex] is,

[tex]y=-\frac{1}{3}x+\frac{13}{3}[/tex].

Hence,

[tex]$a)$[/tex] The gradient of a line perpendicular to line [tex]$AB$[/tex] is [tex]$3$[/tex].

[tex]$b)$[/tex] The equation of the line perpendicular to line [tex]$AB$[/tex] and passing through point [tex]$C$[/tex] is [tex]y=-\frac{1}{3}x+\frac{13}{3}[/tex].

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Amy runs a bakery. She makes a different amount of cake mix each day. She varies the amount of sugar based on the amount of the flour

Answers

Answer:

2

Step-by-step explanation:

MATH QUESTION, PLEASE HELP !!!
(will mark branliest )

Answers

Answer:

I am not certain if its right

Step-by-step explanation:

can someone help asap!!:)

One number is 10 more than another. The sum of twice the smaller plus three times the larger, is 55. What are the two numbers?

Answers

9514 1404 393

Answer:

  5 and 15

Step-by-step explanation:

Let x represent the smaller number. Then the larger is x+10. The sum is ...

  2x +3(x+10) = 55

  5x +30 = 55

  5x = 25

  x = 5

The two numbers are 5 and 15.

__

Check

  2·5 + 3·15 = 10 +45 = 55

3b - 13 + 4b = 7b + 1

Answers

Answer:

There is no solution

Step-by-step explanation:

Which number rounds to 65.8 when rounded to the nearest tenth?
65.08
65.74
65.82
65.86

Answers

65.82 is the right answer ☺️

If you can’t see it , it says ... Bella Amman is a sales consultant. She travels all over the country selling her company’s products. Her total monthly expenses for June , July, and August were $4,356.01 , $9,011.20 , and $8,780.00 . What was her average monthly expenditure?
A. $7,382.40
B. $6,565.00
C. $8,090.25
D. $22,147.21

Answers

Answer:

A.) $7832.40

Step-by-step explanation:

9,011.20+8,780.00+4,356.01

=22,147.21/3

=7382.40

Item 29
Divide.
6.8÷4
6.8÷4

Answers

Answer:

1.7

Step-by-step explanation:

You can just use a calculator to make the work easier.

What is the measure of angle D?
A.45
B.122
C.70
D.32

Answers

Answer:

D.32

Step-by-step explanation:

14 + 45 = 59

180 - 59 = 121

The oppisite angle in that shape will be equal

so, E= 121

121+27 = 148

180 - 148 = 32

Answer:

D.32

Step-by-step explanation:

14+45=59

180-59=21

the opposite angle in the shape is equal so , E=21

121+27=148

180-148=32

Refer to the system of linear equations shown below. Which of the following statements gives the best choice for multiplying to solve this system using the elimination method? 3x−6y=4 6x+11y=−2

I NEED IT URGENtLY

Answers

Answer: I just took the test and the answer is Student should show that the solution to the system of equations 7x - y = 4 and 2x - 3y = 1 is the same as the solution to the given system of equations.

Step-by-step explanation:

The solution for the given system of linear equations is (32/69, -10/23).

The given system of equations are 3x-6y=4 and 6x+11y=-2.

What is a linear system of equations?

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Here,

3x-6y=4 ---------(I) and 6x+11y=-2 ---------(II)

Multiply equation (I) by 2, we get

6x-12y=8 ---------(III)

Subtract equation (III) from (II), we get

6x+11y-(6x-12y)=-2-8

⇒ 23y=-10

⇒ y=-10/23

Substitute y=-10/23 in (I), we get

3x-6(-10/23)=4

⇒ 3x+60/23=4

⇒ 3x=4-60/23

⇒ x=32/69

So, solution is (32/69, -10/23)

Therefore, the solution for the given system of linear equations is (32/69, -10/23).

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Plzzz help its due by 12

Answers

Answer:

THE MAN WHO PUT SOAP IN HIS SOUP SO HE COULD WASH IT DOWN WITH SOMETHING

Step-by-step explanation:

Answer:

me think me made girl mad on brainly

Step-by-step explanation:

Please Help!! I've attached a picture

Answers

Answer:

DE = 6.3 units

Step-by-step explanation:

A segment joining the midpoints of 2 sides of a triangle, that is DE

Is one half the measure of the third side, that is

DE = 12.6 ÷ 2 = 6.3

Katie runs 5 laps arround the park in 8 minutes.if Kate runs 24 laps at the same rate,how long will it take her?

Answers

Answer:

5 ÷ 8 = 0.625

24 ÷ 0.625 = 38.4

i would say 38.4 minutes.

Step-by-step explanation:

Approximate 120 square root to the nearest hundredth.

Answers

Answer:

10.95

Step-by-step explanation:

The square root of 120 is 10.95445. And if you want it to the nearest hundredth it would be 10.95 :)

Write each fraction in simplest form.

12 over 48

6 over 15

Answers

Answer:

#1 is 1/4 #2 is 2/5

Step-by-step explanation:

they were able to be divided by a certain number that they were all equal to

Answer:

12/48=1/4 and 6/15=2/5

um can someone please help?

Answers

Answer:

Step-by-step explanation:

sure

please help asap!!!! i’ll mark brainlest

Answers

Answer:

C. 40 kilograms

Step-by-step explanation:

There are 4 tablespoons in 1/4 cup. There are 2 cups in 1 pint. How many tablespoons are there in 1 pint?

Answers

Answer:

i think the answer is 32

Answer:

32 tablespoons

Step-by-step explanation:

Simplify 4(2x-3) 7th grade math

Answers

Answer:

8x-12

Step-by-step explanation:

Answer:

8x-12

Step-by-step explanation:

[tex]4(2x-3)[/tex]

Expand

[tex]4\times 2x = 8x\\\\4\times(-3)=-12\\\\8x-12[/tex]

PLS HELP Arie makes 3 giant sandwiches to share equally with 8 friends. Each friend gets a fraction of a sandwich. Choose which two whole numbers the answer lies between.


a 0 and 1

b 1 and 2

c 2 and 3

d 3 and 8

Answers

Answer: B

Step-by-step explanation: because 8 divide by 3 equal about 1.6 something

The answer lies between 0 and 1.

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that Arie makes 3 giant sandwiches to share equally with 8 friends. Each friend gets a fraction of a sandwich.

Each friend will get -

{x} = 3/8

{x} = 0.375

So, we can see that -

0 < 0.375 < 1

Therefore, the answer lies between 0 and 1.

To solve more questions on algebraic expressions, visit the link below -

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PLEASE HELP ASAP!!!!!!!!!!!
Find the equation of the line between ( -8, 2) and ( -4, 1)

Answers

Answer:

point slope form---> y-2=1/4(x- -8)

slope intercept form---> y=1/4x+4

Step-by-step explanation:

i didnt know which equation you were asking for

322 rounded to the greatest place value

Answers

Answer:

322 rounded to the greatest place value

320

After rounding off 322 to the nearest tenths, the resultant number is 320.

What is rounding off?When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number. For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done. Round the number up if 5, 6, 7, 8, or 9 follow the number you are rounding.For instance, 40 when rounded to the nearest ten is 38.

So, 322 rounded to tenth place:

Since in the tenth place, there are 2.

Then after rounding off:

322 ⇒ 320

Therefore, after rounding off 322 to the nearest tenths, the resultant number is 320.

Know more about rounding off here:

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The correct question is given below:

322 rounded to the tenth-place value

A number raised to the third power. What is this called???

Answers

Answer:

Cubed

Step-by-step explanation:

You can think of it as the volume of a cube where the volume is x to the third power ([tex]x^{3}[/tex], let x = side of the cube) to help you remember. This also goes the same for x to the second power (squared) where it can represent the area of a square which is x².

Hope this helps :)

An NBA Basketball Court is a RECTANGLE that is 94 FEET long and 50 FEET wide. What is the AREA of the Court ? What is the PERIMETER of the Court?

Answers

Answer:

perimeter: 288 feet

area: 4700 feet

Step-by-step explanation:

explanation if wanted

Answer:

perimeter: 288 feet

area: 4700 feet

Step-by-step explanation:

The height of a stack of 12 pennies is 18.24 millimeters. What is the thickness of each penny? Please explain how you got your answer :)

Answers

9514 1404 393

Answer:

  1.52 mm

Step-by-step explanation:

Let p represent the thickness of one penny. Then a stack of 12 pennies will have a thickness of 12p.

  12p = 18.24 mm

  p = 18.24 mm/12 = 1.52 mm . . . . divide by the coefficient of p

The thickness of each penny is 1.52 mm.

Answer: 1.52 millimeters
Explanation: 18.25 divide by 12 = 1.52.

Find −1/5+17/10. Write your answer as a mixed number in simplest form.

Answers

Answer:

1 1/2

Hope I helped

Answer:

1 1/2

Step-by-step explanation:

To add fractions together you have to have a common denominator. To do this, I multiplied -1/5 by 2 to get -2/10 which has the same denominator (10) as 17/10. now you add the numerator of both fractions. -2+17 equals 15. so your new fraction is 15/10. 15 divided by 10 is 1.5 which you can write as 1 and 1/2.

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