Which lines are perpendicular to the line y – 1 = One-third(x+2)

Answers

Answer 1

Answer:

[tex]y-1=-3(x+2)[/tex]

Step-by-step explanation:

The equation of the given line:

[tex]y-1=\frac{1}{3}(x+2)[/tex]

This equation is in the form [tex]y-y_{1}=m(x-x_{1})[/tex].  Therefore, 1/3 is the slope.

To find a perpendicular line, take the opposite reciprocal of the slope (-1/old slope).  Therefore, the slope of the perpendicular line is -3.

The equation of the perpendicular line: [tex]y-1=-3(x+2)[/tex]


Related Questions

Can someone help me please!!

Answers

Answer:

y = (-3x/5) +1

Step-by-step explanation:

We know that the line passes through the point (-5 , 4)

AND

the slope is given to be -3/5

let's look at the slope a bit more

we know that the formula for slope of a line is Rise / Run

Which means that the rise of this line is -3 after spanning 5 units to the right

Hence, the line goes down 3 units after moving 5 units to the right

We know that to find the equation of a line through the point-slope equation, we need the slope as well as the y-intercept of the line

since we are already given the slope, we need to find the point where the line intersects the y-axis

Now, back to the given point the line passes through

this point has a x - coordinate of -5 and we know that after moving 5 units to the right, the line moves 3 units downwards

So, if the line moves 5 units to the right from the given point, it will reach the y- axis and we know that it's y-coordinate will decrease by 3

Hence, the y-intercept will be 3 units below the given y -coordinate

y - intercept = (4 - 3) =  1 = y-intercept

Now, using the slope-intercept formula to get the equation:

y =  (slope)*x + (y-intercept )

y = (-3/5)x + (1)

y = (-3x/5) + 1

What is the mixed number form of 27/4 SOMEONE PLS HELP

Answers

Answer:

6 [tex]\frac{3}{4}[/tex]

What is the quotient for 6 and 1/2 divided by 3/4

Answers

Answer:

I believe it is 4

Step-by-step explanation:

which angles are corresponding angles?

Answers

Answer:

<3 and <11

Step-by-step explanation:

A store is having a sale to promote a new product. Every item in the store is 1/6 off the regular price. If an item is on sale for $74, what was the regular price? Show your work.

Answers

1/6 off means the regular price for that item should be: $88.8

Work:

The sale = $74 ÷ 5 × 1 = $14.8

=> The regular price = $14.8 x 6 = $88.8

Ms. Smith has 132 stickers to give to her students. She has 25 students. If she gives the same number of stickers to each of her students, how many stickers will she have left over? *

Answers

Answer: 7

To find the remaining amount, we must multiply up to 132.

25 x 5 = 125

Subtract 125 from 132.

132 - 125 = 7

Answer = 7

The number of stickers Ms. Smith has leftover is 7.

Ms. Smith has 132 stickers and 25 students. She gives each student the same number of stickers. In order to determine the number of stickers she would have left, the number of stickers each student got has to be determined first. The stickers each student got can be determined by dividing the total number of stickers by the total number of stickers.

Total number of stickers each student got = total number of stickers / total number of students

132 / 25 = 5 (to the nearest whole number).

The total number of stickers distributed.

5 x 25 = 125.

The total amount of stickers left = 132 - 125 = 7 stickers.

A similar question was answered here: https://brainly.com/question/20291097?referrer=searchResults

Help.-. Plsssssssssss

Answers

Answer:

mDE = 9

Step-by-step explanation:

mCD and mDE must add up to mCE

Step 1: Set up equation

mCD + mDE = mCE

5x + 1 + 3x + 3 = 20

Step 2: Solve for x

Combine like terms: 8x + 4 = 20Subtract 4 on both sides: 8x = 16Divide both sides by 8: x = 2

Step 3: Find mDE

mDE = 3x + 3

mDE = 3(2) + 3

mDE = 6 + 3

mDE = 9

Try factoring this before moving on: 25+10x+x^2

Answers

Answer:

Step-by-step explanation:

x2 + 10x + 25

x2 + 5x + 5x + 25

x (x + 5) + 5(x + 5)

(x + 5) (x + 5)

Pls help me
8th grade math

Answers

The y intercept is 7

Answer:

y-intercept = 7

Step-by-step explanation:

y intercept is where the line meets with the y axis which is the vertical axis.

hope this helped!

How many hours will it take them to be 400 miles apart?

Answers

Step-by-step explanation:

50 miles per hour, how long will it take before that train meets THE Other train, going from B to A, at a speed

Find the area of the triangle. 13 m 16 m​

Answers

Answer:

Area = 104

Step-by-step explanation:

The equation to find the area of a triangle is A = 1/2 BH

so if we plug in to numbers into the equation we get

A = 1/2 13*16 no we can multi plier 13*16 and we get 208

and last we can multiply 1/2 to 208 and our final answer is 104

High Hopes^^

Barry-

A worker package 150 games in 15 minutes. how many games can he package per minute?

Answers

Answer:

600 games

Step-by-step explanation:

60/15=4

150*4=600

150/15= 10 games per minute

5x = 45
O Commutative Property
O Associative Property
O
Distributive Property
Subtraction Property of Equality
O
Division Property of Equality

Answers

Division Property of Equality

Please first to answer will get brainliest

The water level of a tank every minute since it began filling is indicated by segments A,B,C on the graph below

Put the segments in the correct order from least to greatest rate of increase in water level

Answers

A then C then B

I hope this helps!

B, C, A because A is the steepest line, meaning it fills up the quickest and B is the least quick because it has the least steep line according to the graph.

Hope this helped!

g(n)=n+1 f(n)-n^2-n find g(f(8))

Answers

Step-by-step explanation:

[tex]g(f(8)) =( n ^{2} - n )+ 1 = 8 ^{2} - 8 + 1 = 64 + 9 = 73[/tex]

14x + 7 y=-7
y=-2x-1​

Answers

Answer:

(x, y) = ( -1, 1)

- -

9 9

Hope this helps for you answer :)

What is the slope of a line parallel to the line whose equation is 22 - y = 7. Fully
reduce your answer.

Answers

Answer:

The slope of the parallel line is 2

Step-by-step explanation:

Parallel lines have equal slopes, so for this question you need to re-format the equation to match a y=mx+b format (slope-intercept form).

2x -y = 7  |  Subtract 2x from both sides

-y = 7 + 2x  |  Multiply by negative one to make y even

y = 7 + 2x  |  Rearrange the equation to match the formula

y = 2x +7  |  2 is your slope for both parallel lines!

Which of the following functions represents the values in the table below?
x 0 2 4 6
f(x) 2 10 66 218
a f(x) = -3x - 2x 2
b f(x) =x^3/2
c f(x) = 2 + x 3
d f(x) = 3x - 2

Answers

Answer:

f(x) = 2 + x^3

Step-by-step explanation:

The function f(x)=2+x^3 satisfies all the values given in the table.

What is a function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

For the third option C we will check all the values of x in the function.

[tex]f(x)=2+x^3\\\\\\f(0)=2+0^3=2\\\\\\f(2)=2+2^3=2+8=10\\\\\\f(4)=2+4^3=2+64=66\\\\\\f(6)=2+6^3=2+216=218[/tex]

Hence the function f(x)=2+x^3 satisfies all the values given in the table.

To know more about function follow

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Examine this algebraic expression:

3x
4
− 2y +
3
7

What are the variables?
What are the coefficients?
3x/4 and –2y
What is the constant?

Answers

Answer:

C/ x and y

A/-2 and 3/4

B/ 3/7

Step-by-step explanation:

i got it right

The variables are x and y, the coefficients are -2 and 3/4, and the constant is 3/7 in the given algebraic expression 3x/4 − 2y + 3/7.

What is the algebraic expression?

Algebraic expressions are mathematical statements that comprise at least two variables or integers.

What are arithmetic operations?

Arithmetic operations can also be described via subtracting, dividing, and multiplying built-in functions.

We have been the given algebraic expression as :

⇒ 3x/4 − 2y + 3/7

Here variables are x and y

The coefficients are -2 and 3/4

The constant is 3/7

Therefore, the variables are x and y, the coefficients are -2 and 3/4, and the constant is 3/7 in the given algebraic expression 3x/4 − 2y + 3/7.

Learn more about the algebraic expression here :

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the area of this figure is? sq meters

Answers

Answer:

The figure was not included in your question?

WILL GIVE BRAINLIEST! What is the equation of the line passing through the points (4, 7) and (7, 13) in slope-intercept form?

Answers

Answer:

y = 2x - 1

Step-by-step explanation:

To get slope:

m = y2 - y1 / x2 - x1

m = 13 - 7 / 7 - 4

m = 6 / 3

m = 2

To get y-intercept:

y = mx + b

13 = 2(7) + b

13 = 14 + b

13 - 14 = b

-1 = b

Put it together:

y = 2x - 1

Image attached below. Please help.

Answers

Answer:

B. (-infinity, 1)

Step-by-step explanation:

Remember that domain is left to right, and range is down to up.

Question asks to find where the domain is increasing

Increasing means when the line increases

look left, the line extends infinitely in the negative direction: -infinity

There is a discontinuity at 1, and then the line decreases. So that would be the second point

The interval at which the domain is increasing is

Ms. Smith bought a 6 pound bag of candy for her students. She gave away 3 pounds and ate 10 ounces of candy. How many ounces does Ms. Smith still have in her bag

Answers

Answer:

38oz

Step-by-step explanation:

6-3=3   3pounds-10ounces=38

3lb=48oz   48-10=38

Answer:

38 ounces

Step-by-step explanation:

3 pounds = 48 ounces

48 ounces + 10 ounces = 58 ounces

-----------------------------------------------------------------------------------------------------------------

6 pounds = 96 ounces

96 ounces - 58 ounces = 38 ounces

Hope this helps..

find the value of x.

I need to show my work***

THANK YOU

Answers

Answer:

29 = x

Step-by-step explanation:

The two angles shown are vertical angles and vertical angles are equal

59 = 2x+1

subtract 1 from each side

59-1 = 2x+1-1

58 = 2x

Divide by 2

58/2 = 2x/2

29 = x

Help! Please. I don’t know what to do. I got this wrong.

Answers

Answer: 2/5 40%

Step-by-step explanation:

What is the area of the trapezoid shown? * 4cm 10cm 10cm 8cm

Answers

The answer is 8cm ur answer is D

-3x + 31 < 25 can anyone help me do this please

Answers

Answer:

x > 2

Step-by-step explanation:

Pull out like factors :

  -3x + 6  =   -3 • (x - 2)

Divide both sides by  -3

Remember to flip the inequality sign:

Solve Basic Inequality :

Add  2  to both sides

          x > 2

Answer:

x > 2

Step-by-step explanation:

-3x + 31 < 25

subtract -31 from both sides:

-3x + 31 - 31 < 25 - 31

simplify:

-3x < -6

reverser the inequality:

3x > 6    divide 3 on both sides

x > 2


A photographer reduces the size of a photo by 20%. If the length of each side is 12 cm,
what is the length of the side of the new photo?

Answers

Answer:

9.6 cm

Step-by-step explanation:

12 x .8 = 9.6cm

3)
Blair expects an increase of 3% in her current annual
salary of $42,000. What would her new annual salary
be?

Answers

Answer:

$43,260

Step-by-step explanation:

You have the 3% annual income, which you can convert to a decimal. This gives:

42000 * 1.03

42000 represents Blair's initial income, and 0.03 represents the 3% increase.

I chose 1.03 because I don't have to subtract 97% and add it to 42000.

Well 3% is .03
And she earns $42000
.03*42000 is 1260
42000+1260= $43260

What is the value of 4p − 2, when p = 8?
What is the value of the expression when n = 3?

Answers

Answer:

The first one would be 30.

Step-by-step explanation:

First you multiply the 8 x 4, because the 4 and P are multiplying you just substitute the variable, and then substract 2.

The value of 4p - 2 when p=8 is
4*8 - 2=30
When p=3
4*3-2=10

Hope this helps :)
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