7
Write the equation of a line that is perpendicular to y = -3 + 6 and that passes through the point
(2,-6).

Answers

Answer 1

Answer:

Perpendicular lines are lines that are at right angles to each other.

For perpendicular lines, the product of their slopes is -1.

[tex]\implies m_2=\dfrac{-1}{m_1}[/tex]

(where [tex]m_1[/tex] and [tex]m_2[/tex] are the slopes of perpendicular lines)

The slope of the given equation is -3.  Therefore, to find the slope of the line that is perpendicular:

[tex]m_2=\dfrac{-1}{-3}=\dfrac13[/tex]

Now we have the slope, we can use the point-slope form of a linear equation with [tex]m=\dfrac13[/tex] and [tex](x_1,y_1)=(2,-6)[/tex] to find the equation of the perpendicular line:

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y-(-6)=\dfrac13(x-2)[/tex]

[tex]\implies y+6=\dfrac13x-\dfrac23[/tex]

[tex]\implies y=\dfrac13x-\dfrac{20}3[/tex]


Related Questions

If $20,000 is invested in an account that compounds interest at 3.5% CONTINUOUSLY, how much money is in the account after 10 years?

Answers

Answer:

The final balance is $28,366.91.

So a gain of 8366.91

Step-by-step explanation:

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

I think it is C.2920

Answer:

I think it is E 3000

because area of a triangle is

1\2 base * height

base = BC = 120

height = AH = 100

120\2 = 60

60 * 100 = 6000

6000\2 = 3000

f(x)=-2x+3 f(3)-f(4)

Answers

Answer:

wregwgrwgrwgr t etretg rgregreg 5

Step-by-step explanation:

A rectangle has an area of 18cm
the lengths of the sides are whole numbers.
how long could the sides of the rectangle be?
give all the examples you can think of.

Answers

Answer:

1cm long, 18cm wide

2cm long, 9cm wide

3cm long, 6cm wide

6cm long, 3cm wide

9cm long, 2cm wide

18cm long, 1cm wide

Step-by-step explanation:

All examples given will equal to 18cm2

will give brainliest

Answers

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the line y = x

a point (x, y ) → (y, x ) , thus

A(2, 2 ) → A'(2, 2 )

B(5, 7 ) → B'(7, 5 )

C(8, 5 ) → C'(5, 8 )

-Which equation is shown by the information in the table?
nouncements
х
2
2
4
6
8
10
dules
labus
y
59
13
17
21
ades
A y = 2x + 1
B y = x + 2
C y = 3x - 1
Dy = 2x + 2

Answers

Your answer will be The letter (A) because 2x+1 is 4 and all you have to do is minus 2 to get your answer.

Therefore 4-2 is bascalliy is 2 so there is your answer.

Help mw with tis qustion

Answers

Answer:

Step-by-step explanation:

You already have the awnser there.

15.3+1.1+1.7 =18.1

Example:

a+b+c= a+c+b= b+c+a= b+a+c

You can Sum the numbers in which way you’d like,the awnser will be same if there is only pluses (+)

18.1 is the answer the answer is already there on the page

Which modified box plot represents the data set? 39, 39, 3, 40, 46, 48, 60, 62, 62.

Answers

Answer:

To find this question, you first should put your data values in order from least to greatest. Doing so would look like this:

39, 39, 3 , 40 , 46 , 48 , 60 , 62 ,62

Now find the median, the middle number. This would be 46. This would also be the middle point on your box and whisker plot. Looking at your answer choices, the only one that has the middle point at 46 is the last one. So that is your answer.

Step-by-step explanation:

Answer:

its 39

Step-by-step explanation:

what is the value of x

Answers

Answer:

x is 90 degrees.

Whenever you see a straight line or a square where the missing number is, that usually indicates a right angle. Otherwise, that is a special function. That should not be the case, however.

What effect does a deposit have on a checking account?
Charges a fee to the bank account? A.Charges a fee to the bank account
B. No effect on the bank account
C. Increase the account balance
D. Decrease the account balance

Answers

Answer:

C. Increases the account balance

Step-by-step explanation:

Deposit means put into

store A: 12$ for 3 pies or store B: $10 for 2 pies which is a better buy

Answers

It is better to buy from store A because each pie is four dollars at store a and each pie is five dollars a store B

An elephant has a mass of 4,900 kg. A dog has a mass of 35 kg. What is the difference in their mass?

Answers

The different between the elephant and the dogs mass is 4,865kg

10) Choose the graph that represents the statement.

The high temperature today will be under 85°

Answers

i think the answer is the third one

Please Help!! 100 POINTS, Write the equation of the line of best fit using the slope-intercept formula $y = mx + b$. Show all your work, including the points used to determine the slope and how the equation was determined.

Answers

Answer:

y= 6/5x-10

Step-by-step explanation:

HELP PLEASEEEEE ASAP!!!!!!!! PLEASE LIKE PLEASE I NEED HELP

Answers

It’s number 3. If you were to graph all of these, only the third option would have both lines intersect at a single point, therefore it being a one solution.

Also this was really easy to look up lol, you could’ve just searched up “linear equations that have one solution” then graphed each option with a graphing calculator or an online one.

I need help on the question in the photo!

Answers

Answer:

i)20 ii)5 iii)55 iv)80 this is the answer

Need help on this question ASAP PLEASE and thank you (:

Answers

Answer:

Step-by-step explanation:

What is the solution to Negative three-fourths x + 2 less-than-or-equal-to negative 7?
x greater-than-or-equal-to negative 12
x greater-than-or-equal-to 12
x less-than-or-equal-to 12
x less-than-or-equal-to negative 12

Answers

Answer: -3x/4 + 2

Step-by-step explanation:

multiply 3/4x and 3x/4

Answer:

its b

Step-by-step explanation:

may i also please get brainliest

What is the relationship between the value of the 4 in the square and the value of the 4 in the circle in the number above?

Answers

Answer:

Find the radius of the circle which passes through the origin, (0,4) and (4,0) . (1) 2(2) [tex]4\sqrt{2}[/tex] (3) [tex]\sqrt{8}[/tex](4) [tex]3\sqrt{2}[/tex]

Kathleen jarred 12 liters of jam after 4 days. How much jam did Kathleen jar if she spent 6 days making jam? Assume the relationship is directly proportional.

Answers

Given parameters:

Number of liters of jam = 12 liters

Number of days = 4 days

Unknown:

Number of jams jarred in 6 days = ?

Solution:

Let us first find the rate of Kathleen in this jarring work;

     Rate  = [tex]\frac{Number of jams}{Number of days}[/tex]

     Rate  = [tex]\frac{12}{4}[/tex]   = 3liters/day

Now, the number of jams in 6days;

    Number of jams = Rate x number of days

    Number of jams = 3 x 6  = 18jams

The number of jams jarred in 6 days is 18

What is the multiplicative rate of change of the function? One-third Two-thirds 2 9.

Answers

The multiplicative rate of change of the function will be [tex]\frac{2}{3}[/tex].

What is the multiplicative rate?

It is an arithmetical operation that calculates the product of two values, first described in terms of repeated addition.

When the value of x is changed from 1 to 2, the value of y is changed from 6 to 4.

The multiplicative rate of change of the function will be

[tex]\frac{4}{6} = \frac{2}{3}[/tex]

When the value of x is changed from 2 to 3, the value of y is changed from 4 to [tex]\frac{8}{3}[/tex].

The multiplicative rate of change

[tex]\frac{\frac{8}{4} }{4} = \frac{2}{3}[/tex]

When the value of x is changed from 3 to 4, the value of y is changed from [tex]\frac{8}{13}[/tex] to [tex]\frac{16}{9}[/tex].

Hence the multiplicative rate of change of the function will be [tex]\frac{2}{3}[/tex].

To learn more about the multiplicative rate refer to the link;

https://brainly.com/question/4239679

Answer:

2/3

Step-by-step explanation:

edge

What is the common difference, d, in the arithmetic sequence defined by the formula below? an=2n+1
A. 1
B. 2
C. N
D. 2n

Answers

Answer:

d = 2

Solution:

We are given that the arithmetic progression is defined by :

2n + 1

Therefore,

For first term

➙ n = 1

2 × 1 + 1

2 + 1

3

For second term

➙ n = 2

2 × 2 + 1

4 + 1

5

Common difference

➙ 2nd term - 1st term

5 - 3

2

More information:

The difference between the successive term and the preceding term is the difference of an arithmetic progression. It is always same for the same arithmetic progression.

A groundhog is 4 feet below the ground. A hawk is perched on a tree 5 feet above the ground what is the distance between the groundhog and hawk?

Answers

Answer:

i think its 20 or 9. depending what is on your paper or screen.

Piyra's class has adopted two equal sections of a highway to keep clean.The combined length is 3/4 of a mile.How long is each section,please help me out​

Answers

Answer:

3/8

Step-by-step explanation:

3/4 x 2 = 6/8 and half it would be 3/8

At the baseball game last weekend, the Smith, Jones, and Garcia families each bought snacks from the concession stand. The Smith family purchased 3 hot dogs, 1 drinks, and 4 pretzels for $19.50. The Jones family spent $10.00 on 2 hot dogs, 2 drinks, and a pretzel. The Garcia family bought 3 hot dogs, 2 drinks, and 2 pretzels for $15.

What is the cost of a drink?

Answers

Answer:

The cost of a drink is $1.5

Step-by-step explanation:

Let x be the cost of 1 hot dog , y be the cost of 1 drink and z be the cost of 1 pretzel

We are given that The Smith family purchased 3 hot dogs, 1 drinks, and 4 pretzels for $19.50.

So, 3x+y+4z=19.50 ---1

We are also given that The Garcia family bought 3 hot dogs, 2 drinks, and 2 pretzels for $15.

So, 3x+2y+2z=15 ---2

We are also given that The Jones family spent $10.00 on 2 hot dogs, 2 drinks, and a pretzel.

2x+2y+z=10 ---3

Substitute the value of y from 1 in 2 and 3

3x+2(19.50-3x-4z)+2z=15  and 2x+2(19.50-3x-4z)+z=10

-3x-6z+24=0----4 and -4x-7z+29=0 ---- 5

Substitute the value z from 4 in 5

[tex]-4x-7(\frac{-24+3x}{-6})+29=0[/tex]

x=2

Substitute the value of x in 4

-3(2)-6z+24=0

z=3

Substitute the value of x and z in 1

3(2)+y+4(3)=19.50

y=1.5

Hence the cost of a drink is $1.5

A website is selling sets of golf clubs for $63, but mentions that they originally cost $105. What percentage is the discount?

Answers

Subtract to find the amount of discount then divide by original price


105 - 63 = 42

42/105 = 0.40 = 40%

Answer: 40%

State if the three numbers can be measures of the sides of a triangle.​

Answers

The answer is YES; any number except 0 or negative numbers can be measured of the sides of a triangle.
Also, this would be an isosceles triangle.

HOW DO I DO THIS HELP ME PLEASE.

Answers

Answer:

100

Step-by-step explanation

so 57 and x and 23 are single numbers, so add 57+23=80

180-80=100

meaning x = 100

Which of these is a simplified form of the equation 7z 2 = 8 2z 1z? 10z = 6 10z = 10 4z = 6 4z = 10.

Answers

Like terms are those terms that are having the same variables and order. The simplified form of the given equation 7z+2=8+2z+1z is 4z=6.

What are Like terms?

Like terms are those terms that are having the same variables, also the variables are of the same order as well.

for example, 25x and 5x are like terms; 30xy and 7xy are like terms, 9x³ and 4x² are not like terms, etc.

The given equation to us is 7z+2=8+2z+1z, simplifying the equation we will get,

[tex]7z + 2 = 8 + 2z + 1z\\\\\text{Bring the like terms on the same side of the equation}\\\\7z -2z-1z = 8 -2\\\\7z-3z=6\\\\4z = 6[/tex]

Hence, the simplified form of the given equation 7z+2=8+2z+1z is 4z=6.

Learn more about Like Terms:

https://brainly.com/question/2513478

Angle A=3x-10 Angle C=45 Angle D=2x+10
Please solve for x

Answers

Answer:

27°

Step-by-step explanation:

Step 1:

∠A + ∠C + ∠D = 180°     Sum of a Δ

Step 2:

3x - 10 + 45 + 2x + 10 = 180        Input all values

Step 3:

5x + 45° = 180°     Combine Like Terms

Step 4:

5x = 135°        Subtract 45° on both sides

Step 5:

x = 135° ÷ 5       Divide

Answer:

x = 27°

Hope This Helps :)

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