30pts + Brainliest to correct answer!!
As indicated below, write the equations of the line passing through the point (2, 2) and perpendicular to the line whose equation is y = x.
Part 1: Point-Slope form of the linear equation

Part 2: Slope-intercept form of the linear equation

Part 3: The general form of the linear equation

Answers

Answer 1

Answer:

See answers below

Step-by-step explanation:

Equation of a line in point slope form is expressed as;

y-y0 = m(x-x0)

m is the slope

(x0, y0) is a point on the line

Given the line y = x

The slope of the line is 1.

The slope of the line perpendicular is M = -1

Given the point (2,2)

x0 = 2 and y 0 = 2

Substitute

Recall y-y0 = m(x-x0)

y - 2 = -1(x-2) (Point slope form)

Express in slope intercept form;

y - 2 = -1(x-2)

Make y the subject of the formula;

y -2 = -x + 2

y = -x + 2 + 2

y = -x + 4 (slope intercept form)

The general form of linear equation is expressed as the slope intercept form which is y = -x+4

let y = f(x)

f(x) = -x+4

f(x) = 4-x (Linear equation)


Related Questions

19. Macy bought new tires for her car. She chose tires that cost $73 each. However, the tire store was offering a Buy 3Get 1 Free Sale. After this special sale, she had to pay % sales tax . What was , Macy's final cost for all 4 tires?

Answers

Answer:

$219 without tax

Step-by-step explanation:

im not sure how to calculate tax

hope this helps :)

Pls can someone help me ? It’s urgent :((

Answers

Answer:

c.40

Step-by-step explanation:

........................

I have a trick for parallelograms and the formula is...[tex]\frac{b*h}{2}[/tex]

Yes the rectangle formula also wrks for parallelograms!!! You just gotta chop one end up and stick it on the other side!

So it is 5*8/2=20

Simplify the expression to a+bi form:
(-6-10i)(2-3i)

Answers

Answer:

-42-2i

Step-by-step explanation:

So the answer is -42-2i

MATH Please help me with this one question please please please

Answers

-3 1/3 , -3 , -1 , - 1/2 ,  0 , 1 , 4 , 21/5 , 5 , 6,

Suppose you know that ∠S and ∠Y are complementary, and that m∠S = 5(m∠Y) −240°. Find m∠Y.


The value of m∠Y is

Answers

9514 1404 393

Answer:

  ∠Y = 55°

Step-by-step explanation:

Complementary angles have a sum of 90°.

  ∠S + ∠Y = 90°

  (5∠Y -240°) +∠Y = 90°

  6∠Y = 330° . . . . . . . . . . . . add 240°, collect terms

  ∠Y = 55° . . . . . . . . . divide by 6

The daily changes in selling price for a particular stock during a week were: 4.25, +0.95, -2.42, +1.11, - 2.2. What was the average daily change in selling price for the stock during this week?

Answers

I have no idea guy evens dhjrbtixndjebusnrjfkrbfjr she she s

PLEASE HELP ME I WILL GIVE BRAINLIEST

Answers

Answer:

19%

Step-by-step explanation:

yes i will help

Answer: 19%

step by step:

1*90%*90% = 0.81 = 81%

1-81%=19%

Simplify the following.
c*5 x c

Answers

Answer:

c^6

Step-by-step explanation:

c^5*c^1=c^5+1=c^6

can someone help? i rlly need help thank u for anyone that helps ! :)

Answers

Answer:

i think one of them is

(-1,5) and (8,3)

Step-by-step explanation:

just count up how much is on both x and y axes and you'll get ur answer.

goodluck!

also, dont put my answer cuz im afraid u'll get it wrong cuz i tried my best, so jus wait untill someone else answers if u want <3

goodluck


15. In a class if 75% of students own a bicycle, then percent of the students
do not have bicycles is???

Answers

Answer:

100%-75%= 25%

Step-by-step explanation:

100%= whole class

75%=students that own a bicycle

25%=students that do not have a bicycle

find multiplicative inverse of -13​

Answers

Answer:

asdaqwdawdasd

Step-by-step explanation:

Answer:

Step-by-step explanation:

Multiplicative inverse a number 'n' = [tex]\frac{1}{n}[/tex]

Multiplicative inverse of (-13)  =[tex]\frac{-1}{13}[/tex]

write a function in terms of t that represents the situation. A stock valued at $100 decreases in value by 9.5 % each year.

y =

Answers

Y=100^0.095t. Hope thats right.

Exponential decay function describes the process of reducing an amount by constant percentage rate over a period of time.. Thus the function in terms of t that represents the given situation is,

[tex]y=100(-8.5)^t[/tex]

Given information-

The value of the stock is $100.

The value of stock decreases by 9.5% each year.

Exponential decay function-

Exponential decay function describes the process of reducing an amount by constant percentage rate over a period of time.

The initial value of the stock was $100 and the decay rate is 9.5 percent per year.

The exponential decay function can be given as,

[tex]y=a(1-r)^t[/tex]

Here [tex]a[/tex] is the initial value, r is the decay rate and t is the number of time interval.

Put the values,

[tex]y=100(1-9.5)^t[/tex]

[tex]y=100(-8.5)^t[/tex]

Thus the function in terms of t that represents the given situation is,

[tex]y=100(-8.5)^t[/tex]

Learn more about the exponential decay function here;

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PLEASR HELP THIS IS THE LAST QUESTION AND ITS DUR IN 4 MINUTES

Answers

Answer:

3x(3x-5)

Step-by-step explanation:

I can do this in my head but I hope it is right but if not I'm sorry

Answer:

- 3x ( x² - 4x + 5 )

Step-by-step explanation:

- 3x ( x² - 4x + 5 )

Find the missing angle.

(look at the picture)

Answers

Answer: 45

Step-by-step explanation:

59 + 76= 135

180-135= 45

Answer:

m∠1 = 45 degrees

Step-by-step explanation:

All triangles have the interior angle of 180

to find the missing angle, take the known angles and add them together:

76 + 59 = 135

then take the sum and subtract it from 180:

180 - 135 = 45

A motorist is pumping gas into his car at a rate of StartFraction 5 over 12 EndFraction of a gallon every StartFraction 1 over 24 EndFraction of a minute. At this rate, how many gallons of gas will he have pumped into his car in One-half of a minute?
1
5
10
20

Answers

The answer might be 5, I am not 100% sure tho

it is 5

Step-by-step explanation:

Evaluate the expression when m = 5n = -2 and p= 10 p/m-n​

Answers

Answer:

10/7

Step-by-step explanation:

plug in the numbers to get 10/5--2 or 10/5+2

4.6 isosceles and Equilateral triangles

Answers

Answer:

Step-by-step explanation:

1) All the sides are equal. So it is an equilateral triangle. SO, all the angles are equal

x = 60

2) In this triangle, two sides are equal. so, it is an isosceles triangle.

In isosceles triangle, angles opposite to equal sides are equal

x = 74

Solve : (30a-15) ÷3 help me​

Answers

Answer:

10a - 5

Step-by-step explanation:

30 / 3 = 10a

-15 / 3 = -5

10a - 5

Hope I helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

what two numbers multiply to 56 and add to -15

Answers

Answer:

-7 and -8  

Step-by-step explanation:

because 7 times 8 equals 56 and negative times a negitive equals a positive and -7 added to -8 equals -15

The pair of numbers which fulfill the given condition 2.6 & -1.76

and -17.6 & 2.6.

What is a quadratic equation ?

An equation is quadratic in form if it can be written in the form of ax + bx + c = 0, where a, b, and c are constants and x is the variable.

Let x and y be the two numbers we're trying to find. We know that:

x * y = 56 (equation 1)

x + y = -15 (equation 2)

y = -15 - x (equation 3)

Substituting equation 3 into equation 1, we get:

x * (-15 - x) = 56

-x² - 15x + 56 = 0

x² + 15x - 56 = 0

Using the quadratic formula, we get:

x = (-b ± √(b² - 4ac)) / 2a

where a = 1, b = 15, and c = -56.

Substituting the values, we get:

x = (-15 ± 20.2) / 2

x = (-15 + 20.2) / 2 = 2.6

x = (-15 - 20.2) / 2 = -17.1

For x = 2.6:

y = -15 - x = -15 - 2.6 = -17.6

So, one possible pair of numbers is x = 2.6 and y = -17.6.

For x = -17.1:

y = -15 - x = -15 - (-17.1) = 2.1

So, another possible pair of numbers is x = -17.1 and y = 2.1.

Therefore, the two numbers that multiply to 56 and add to -15 are approximately -17.1 and 2.6, or vice versa.

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medium of 8,9, 10, 10, 11, 11, 11, 12, 13​

Answers

Answer: 10.5

Step-by-step explanation:

Hope it's right!

PLEASE HELP PLEASE ​

Answers

Answer:

Median?

Step-by-step explanation:

Question is kinda unclear.

Mean: Average of the data values

Median: Middle of all the data values

Mode: Amount of times a value appears

Range: Difference between largest and smallest values.

If the perimeter of square X is triple that of square Y, then the are of X is how many times the area of Y?

Answers

Answer:3 more than y i think srry if im wrong

Step-by-step explanation:

Find the sixth term of a geometric sequence with which a, =-3 and r=-2.​

Answers

Answer: 96

Step-by-step explanation: a is the initial term, and r is the ratio by which a increases. Multiplying -2 by -3 five times gives this sequence: -3, 6, -12, 24, -48, 96

(c^3b^1a^4)^4 + 3a^16b^4c^12

Answers

Answer: 4a16b4c12

Step-by-step explanation:

Members of a soccer team raised $1719 to go to a tournament. They rented a bus for
$1051.50 and budgeted $44.50 per player for meals. Write and solve an equation
which can be used to determine z, the number of players the team can bring to the
tournament.

Answers

Answer:

44.5x + 1051.5 = 1719

x = 15

Step-by-step explanation:

DeltaMath

The number of players the team can bring to the  tournament is 15.

Given:

The total amount of money raised by the soccer team = $1719

Amount to rent the bus = $1051.50

Amount budgeted for each player's meal = $44.50

To find:

Equation and the number of players the team can bring to the  tournament

Solution:

The number of players the team can bring to the  tournament = z

Amount budgeted for each player's meal = $44.50

Total amount needed for z number of players' meals =  $44.50z

Amount to rent the bus = $1051.50

The total amount of money raised by the soccer team = $1719

The equation for numbers of players will be written as:

[tex]\$44.50z+ \$1051.50= \$1719\\\$44.50z= \$1719- \$1051.50\\\$44.50z=\$667.50\\z=\frac{\$667.50}{\$44.50}=15[/tex]

The number of players the team can bring to the  tournament is 15.

Learn more about solving equations here:

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Select the table that represents a linear function. (Graph them if necessary.)
Ο Α. | xo
1 2 3
y 11 8 5 2
B. x 0
X 0 1 2 3
y 0258
C. X 0
1 2 3
y 10974
O D. X 0 1 2 3
y 8 6 6175
HELP !!!!!

Answers

Answer: D

Step-by-step explanation:

Please help I need to get this done and I have no idea what I'm doing!

Answers

Answer:

5

Step-by-step explanation:

(125) ^ (1/3)

We can rewrite 125 as 5^3

( 5^3) ^ 1/3

We know that a^b^c =a ^ (b*c)

5 ^(3*1/3)

5^ 1

5

Answer:

5

Step-by-step explanation:

when something is to the power of 1/2, that means you square root it

when it is to the power of a third, that means you cube root it.

for example, if it is 25 to the power of a half, that means [tex]\sqrt{25} = 5[/tex] because

5 x 5 = 25

this is the same concept

we need to find a number that multiplies itself 3 times and equals to 125

5x5x5 = 125, meaning that

125 to the power of a third, is 5.

interest rate helppppppp

Answers

Answer:

It is : (5%)

Step-by-step explanation:

[tex]i = prt \\ 60 = 600 \times r \times 2 \\ r = \frac{60}{1200} \\ r = 0.05 \\ r = 5\%[/tex]

I hope that is useful for you

Please help! look at picture

what is the slope?

a: 0

b: 5

c:1/5

d: -1/5​

Answers

Answer:

0

Step-by-step explanation:

It has a Y intersect and it is a horizontal line making it automatically a 0 regardless of its Y intersect

Answer:

Step-by-step explanation:

based on the photo, y = 5

answer is b

PLEASE ANSWER THIS ASAP!!!!

Answers

Answer:

300

Step-by-step explanation:

→ First substitute the biggest number into it

45% of 300 =

→ Do 45  × 300

13500

→ Divide answer by 100

135

→ Therefore 45% of 300 = 135

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