the line passing through point (2, 2) and perpendicular to the line whose equation is y = x

Answers

Answer 1

Answer:

[tex]y=-x+4[/tex]

Step-by-step explanation:

We want to find the equation of the line passing through (2,2) and perpendicular to the line with equation y=x.

The given line y=x has slope n=1.

The line that is perpendicular to this line has slope m=-1

The equation is given by the formula;

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

we plug in the slope and the point to get;

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

[tex]y-2=-x+2[/tex]

[tex]y=-x+2+2[/tex]

The required equation is

[tex]y=-x+4[/tex]


Related Questions

HELP!!!!
Anderson buys supplies so he can make and sell hats. He begins to make a profit only after he sells 3 hats. What point on the graph makes the most sense in this situation?

Answers

Answer:

3

Step-by-step explanation:

Answer:

(2,-1,5) or point C

Step-by-step explanation:

The number of license plates on a car is measured in the __. A.ones B.thousands C.hundreds D.tens

Answers

Answer:

A.ones

Step-by-step explanation:

Depending on the state and country, cars can have 1 or 2 license plates on them.  The one mandatory is in the back.  In some places, the cars also have a license plate in the front of the car.

So, since the answer is either 1 or 2, the range for that answer is under 10... so it's a single digit... making it a measure in ones.

The number of tires on a car is also measured in ones.  

a circle has a radius of 9. An arc in this circle has a central angle of 120°. What is the length of the arc?

Answers

Answer:

6pi or about 18.8 units

Step-by-step explanation:

See attached file

Final answer:

To calculate the arc length of a circle with a 120° central angle and a 9-unit radius, multiply the fraction of the circle (1/3) by the circle's circumference (2πr) to find the arc length is 6π units.

Explanation:

To find the length of an arc with a central angle of 120° in a circle with a radius of 9, we use the formula for arc length. The arc length (As) is proportional to the angle of rotation, which in this case is 120° or θ = 120° ÷ 360°.

The circumference (C) of a circle is given by the formula 2πr, where r is the radius. For a full revolution (360°), the arc length is equal to the circumference. For an angle θ, the arc length is given by:

As = (θ/360°) × 2πr

Using the radius r = 9 and θ = 120°, we calculate:

As = (120°/360°) × 2π(9)

As = (1/3) × 18π

As = 6π

The arc length is 6π units, which is slightly less than 19, as π is approximately 3.14159.

Learn more about Arc Length Calculation here:

https://brainly.com/question/15248535

#SPJ3

Please explain your answer as well, THANKS!!!

Answers

Answer:

11,232,000

Step-by-step explanation:

The key to this problem is knowing "repetition is NOT ALLOWED".

For the first 3 letters slot:

For the 1st slot, we can pick any of the 26 alphabets

For the 2nd slot, we can pick any of the 25 remaining alphabets (since 1 is already taken)

For the 3rd slot, we can pick any of the 24 remaining letters (since 2 is already taken)

For the three digits slot:

For the 1st slot, we can pick any one of the 10 digits

For the 2nd slot, we can pick any one of the 9 digits left, since 1 is taken already

For the 3rd slot, we can pick any one of the 8 digits left, since 2 is already taken

The number of license plates, thus, would be all of these multiplied together:

26 * 25 * 24 * 10 * 9 * 8 = 11,232,000

For which equation is x = 5 a solution?
A 5x = 6
B 5+ * = 15
C 5+0 = x
D = 5​

Answers

The answer is C.

5+0=x

5+0=5

tina baked 955 cookies for a big super bowl party she had to put the cookies on 8 different tables in the party room if she spit the cookies evenly how many cookies did tina put on each tables how many cookies were left over?​

Answers

Answer:

119 cookies on each plate and 3 cookies leftover

Step-by-step explanation:

Cookies on each plate:

955 divided by 8 is 119.375 but round it to 119.

Cookies leftover:

Do 119x8 and you will get 952. Then, minus 952 from 955 and your answer is 3 cookies.

i really hope this helps! :)

A worker at the zoo calculates the amount of fish, in pounds, needed in the weekly diet of an eagle and a bear.

The eagle eats 6 pounds of food each week, and 60% of that weight must be fish.
The bear eats 105 pounds of food each week, and 25% of that weight must be fish.
The zoo increases the amount of food that the bear eats each week to 115 pounds. What is the percent increase in the amount of food that the bear eats each week? Round your answer to the nearest tenth of a percent.

Answers

____________________________________________________

Answer:

Your answer would be a 9.5% increase.

____________________________________________________

Step-by-step explanation:

In order to find the answer to your question, we would need to get the amount it's changing by, divide it by it's original, and multiply it by 100.

Your equation should look like this:

[tex]Change/Original * 100[/tex]

Important information in the question:

105 pounds

115 pounds (increase in amount of food that bear eats)

With the information above,we can plug those numbers into our equation.

Since we need to find the change, we would subtract 115 and 105 to get 10. 10 is our change in this scenario.

Our original started at 105, so that'll be our original in our equation.

When you plug in the information, your equation should look like this:

[tex]10/105*100[/tex]

Now you solve:

[tex]10/105*100\\\\0.0952 * 100\\\\=9.523[/tex]

We have to round to the nearest tenth, and the tenth place is the number right after the decimal place.

Since 2 is not a big enough number to round the 5, we would keep the number as 5. Therefore, your answer would be 9.5

Your FINAL answer would be 9.5%

____________________________________________________

What is the volume of the square pyramid? Round to the nearest tenth.

Answers

Answer:

[tex]V=718.7\ cm^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the square pyramid is equal to

[tex]V=\frac{1}{3}b^{2}h[/tex]

we have

[tex]b=14\ cm[/tex] ----> the length of the base of the square pyramid

[tex]h=11\ cm[/tex] ---> the height of the pyramid

substitute the values in the formula

[tex]V=\frac{1}{3}(14)^{2}(11)[/tex]

[tex]V=718.7\ cm^{3}[/tex]

Answer:

718.7cm^3

Step-by-step explanation:

Emma buys and sells truck parts. She bought two tires for $35 each and later sold them for $65 each. She bought three rims for $75 each and later sold them for $136 each. She bought five headlight covers for four dollars each and later sold them for $15 each what is Emma’s total profit

Answers

Let us see her money earned first

[tex]65 \times 2 + 136 \times 3 + 15 \times 5 = 613[/tex]

versus how much she spent

[tex]35 \times 2 + 75 \times 3 + 5 \times 4 = 315[/tex]

613-315 = 298

What is the measure of Z if W equals to 116*

Answers

Answer:

Z is also 116*

Step-by-step explanation:

The reason for them being the same is because of something called alternating angles. This process allows you to find two angle measurements by just finding one.

What is 5 1/2 as a Demical

Answers

Answer: 5.5

Step-by-step explanation: Converting This To A Decimal Would Be 5.5

to make it into a decimal you would convert the fraction into a decimal which would be .5 then you would take the 5 and make it 5.5

For this case we have the following mixed number:

[tex]5 \frac {1} {2}[/tex]

We move to fraction, then we have to:

[tex]5 \frac {1} {2} = \frac {5 * 2 + 1 * 1} {2} = \frac {10 + 1} {2} = \frac {11} {2}[/tex]

Dividing we have to:

[tex]\frac {11} {2} = 5.5[/tex]

Answer:

[tex]5 \frac {1} {2} = 5.5[/tex]

Which of the following best describes the relationship between the data displayed in the scatter plot below?
A Positive linear association
B Negative linear association
C no association
D Quadratic association

Answers

Answer: No association

4,11,6,9,23,34,6,9

What is the median for this set of numbers
A. 6
B.10
C.14
D.16

Answers

Answer:

The Median is 9

Step-by-step explanation:

To calculate the median of a data set the first step is to sort the data from least to greatest

4,11,6,9,23,34,6,9

4, 6, 6, 9, 9, 11, 23, 34

The second step is to locate the central value. If the total amount of data is an even number then locate the two central data and the median will be the average of both. In this case we have 8 data. Then the central values will be the data number 4 and the data number 5

4, 6, 6,   [9, 9],   11, 23, 34

[tex]Median = \frac{9+9}{2}=9[/tex]

Complete the proof below

50 points

Answers

The answer is A

hope that helped you

Answer is A, I hope this helps! :L

Find the surface area of a sphere with a diameter 12 cm. Round your answer to the nearest whole number.
a.
768 sq. cm
c.
314 sq. cm
b.
452 sq. cm
d.
154 sq.cm

Answers

Answer:

144*pi cm^2

Step-by-step explanation:

The formula for the surface area of a sphere is A = 4*pi*r^2.

If the diameter is 12 cm, the radius, r, is 6 cm.

Thus, in this case, the surface area of the sphere is

A = 4*pi*(6 cm)^2 = 144*pi cm^2.

Answer:

Surface area = 452 square cm.

Step-by-step explanation:

surface area of a sphere with a diameter 12 cm

Diameter = 12 cm

Radius = diameter divide by 2=  [tex]\frac{12}{2} =6[/tex]

Surface area of a sphere = [tex]4\pi r^2[/tex]

Where 'r' represents the radius of the sphere

[tex]4\cdot \pi \cdot 6 \cdot 6= 452.3893421[/tex]

Now round the answer to nearest whole number

Surface area = 452 square cm.

Subtract 5x−2 ​​from​ −3x+4 . What is the answer? −8x+6 −8x+2 8x−6 2x + 2

Answers

Answer:

-8x + 6

Step-by-step explanation:

Subtract "5x-2" from "-3x + 4". Set the equation.

(-3x + 4) - (5x - 2) = Answer (A)

First, distribute -1 to all terms within the second parenthesis.

-3x + 4 - 5x + 2 = A

A = -5x - 3x + 4 + 2

Simplify. Combine like terms (terms with the same amount of variables).

A = (-5x - 3x) + (4 + 2)

A = -8x + 6

-8x + 6 is your answer, or the first answer choice.

~

Please Answer Attachment Below thank You so much

Answers

103 would be the correct answer

Answer:

the answer is 83 because if you add up all the sides and then subtract it by 540 the answer would be 83

Step-by-step explanation:

Find the coefficient of x in 4(8-2x).

Answers

Answer:

The coefficient of x is -8

Step-by-step explanation:

4 (8 - 2x)

Distributive property

= 32 - 8x

So the coefficient of x is -8

started at 5 degrees and rose 1/2 degrees each minute what is the slope

Answers

Answer:

y=1/2x+5

Step-by-step explanation:

y=mx+b

m is slope so the slope is 1/2.

answer:

1/2x + 5 = y

explanation:

y=mx+b

1/2 is the slope (m)

5 is the y-intercept (b)

6) Solve for x. 2/3 (x + 7) = 10

A)22

B)8

C)- 1 /3

D)41/ 3

Answers

For this case we must find the value of the variable "x" of the following equation:

[tex]\frac {2} {3} (x + 7) = 10[/tex]

We multiply by 3 on both sides of the equation:

[tex]2 (x + 7) = 30[/tex]

We divide between 2 on both sides of the equation:

[tex](x + 7) = 15\\x + 7 = 15[/tex]

We subtract 7 on both sides of the equation:

[tex]x = 8[/tex]

Answer:

Option B

Wes lives in Colorado, which has a state income tax
rate of 4.63%. He earns $895 weekly. How much
state income tax is withheld from each of his
paychecks?
$179.57
$44.89
$82.88
$41.44
$2,154.80​

Answers

The answer is $41.44.

You take $895× 4.63%= $41.4385.

simplify square root. of 228- square foot of 50​

Answers

Answer:

[tex]\large\boxed{\sqrt{228}-\sqrt{50}=2\sqrt{57}-5\sqrt2}[/tex]

Step-by-step explanation:

[tex]\sqrt{228}-\sqrt{50}=\sqrt{4\cdot57}-\sqrt{25\cdot2}\\\\\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\=\sqrt4\cdot\sqrt{57}-\sqrt{25}\cdot\sqrt2\\\\=2\sqrt{57}-5\sqrt2[/tex]

If Farrah has $40.00 And she buys 4 party cup packs that are $3.48 each.

How much money does Farrah have after she buys a cake that is $9.62?


Answers

Answer:

6.00 dollars

Step-by-step explanation:

Answer:

the answer is $7.46

Step-by-step explanation:

the graphs below have the same shape. what is the equation of the red graph?

Answers

ANSWER

D.

[tex]g(x) = 1 - {x}^{2} [/tex]

EXPLANATION

The equation of the blue graph is

[tex]f(x) = 4 - {x}^{2} [/tex]

This graph has been shifted down 3 units to obtain the red graph.

The red graph now has a y-intercept of 1.

The equation of the red graph is

[tex]g(x) = 1 - {x}^{2} [/tex]

The correct choice is D.

Answer:

it is D. hope this helps :)

What is the mean of the data displayed in the line plot below?

A. 2

B. 4

C. 5

D. 6

Answers

The mean is the average.

Total the numbers and divide by the quantity of numbers.

2 +2 + 3 + 3 +4 +4 +4 +5 +5 +5 +5 + 6 = 48

48 / 12 = 4

The answer is B.4

Answer: The answer is B (or 4)


There are 6 green, 8 red, and 6 yellow marbles in a bag. You choose a marble without looking, put it aside, and then choose another marble without looking. Use the Multiplication Rule to find the specified probability, entering it as a fraction.

Find the probability that you choose a red marble, followed by a yellow marble, followed by a green marble.

The probability that you choose a red marble, followed by a yellow marble, followed by a green marble is

Answers

Answer:

8/20 red marbles

6/20 yellow marbles

6/20 green marbles

Step-by-step explanation:

All of them added together is 20 and there is a probability of choosing 8 red marbles, 6 green marbles, and 6 yellow marbles?

Answer:

[tex]\frac{4}{95}[/tex]

Step-by-step explanation:

Total number of marbles in the bag = [ 6 green + 8 red + 6 yellow ] = 20

Then probability of choosing red marble = 8/20

total number of remaining marbles = 19

Then probability of choosing yellow marble = 6/19

total number of remaining marbles = 18

Then probability of choosing green marble = 6/18

Hence required probability that you choose a red marble, followed by a yellow marble, followed by a green marble [tex]=\frac{8}{20}\cdot\frac{6}{19}\cdot\frac{6}{18}[/tex]

[tex]=\frac{4}{95}[/tex]

Hence final answer is [tex]\frac{4}{95}[/tex]

Which of the following statements best represents the relationship between a relation and function ?

Answers

Answer:

First Option

Step-by-step explanation:

A relation is an association or correspondence between two sets, where each element of the Domain Set corresponds to at least one element of the Range set.

The function definition says that:

A relation is a function if and only if, for each input value x, there is only one output value y. In other words, a relation is a function if each value of the Domain set has only one value associated with the Range set.

Therefore, not all relationships are functions, but all functions are relations.

The correct option is the first

Can y’all help me lol (picture)

Answers

Answer:

2. 13/100.

3. 4/25.

4. 19/100.

5. 3/5.

Step-by-step explanation:

These are all of the correct answers to the questions.

Hope this helps!!!

Kyle.

Find the measure of the missing angle (solve for x)

Answers

IN the given figure.

angle A + angle B + angle C = 180°

( angle sum property of Δ)

58°+47°+ x = 180°

105°+ x =180°

x = 180° - 105°

x = 75°

thus correct option is (d)

hope this will help u!!

Select the simplification that accurately explains the following statement.

Answers

Answer:

D

Step-by-step explanation:

1. Use property of exponents:

[tex](a^b)^c=a^b\cdot ... \cdot a^b\ [\text{ take }c \text{ times } a^b][/tex]

Hence

[tex](7^{\frac{1}{3}})^3=7^{\frac{1}{3}}\cdot 7^{\frac{1}{3}}\cdot 7^{\frac{1}{3}}[/tex]

2. Use multiplication property of exponents:

[tex]a^b\cdot a^c=a^{b+c}[/tex]

Thus,

[tex]7^{\frac{1}{3}}\cdot 7^{\frac{1}{3}}\cdot 7^{\frac{1}{3}}=7^{\frac{1}{3}+\frac{1}{3}+\frac{1}{3}}[/tex]

3. Since

[tex]\frac{1}{3}+\frac{1}{3}+\frac{1}{3}=\frac{3}{3}=1,[/tex]

we have that

[tex]7^{\frac{1}{3}+\frac{1}{3}+\frac{1}{3}}=7^1=7[/tex]

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