Mathematics High School

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

Which of the following is the solution to the system of equations shown below?
x + 5y = -3
3x – 2y = 8

Answers

Answer:

x = -2, x = 1

Step-by-step explanation:

mark as brainliest it is right

6 cm
4 cm
12 cm
Find the volume of the rectangular prism.
A)22 cm
B)66 cm
C)198 cm
D)288 cm

Answers

Answer:

D 288cm

Step-by-step explanation:

6x4x12 = 288cm

On Tuesday, Marissa was $45 short of her fundraising goal. The next day, she was $5 over her goal write an equation to show how much she raised in one day.

Answers

Answer: Hello daema, let's let x be the goal and c be the collection per day.

x - 45 + c = x + 5 is the answer so now let's talk about how we did that.

So she wants to get to x which is the goal. But right now she has 45 less than what her goal is. So that would look like this x - 45 now she has to get c or the collection per day to get to her goal. So now it looks like this x - 45 + c. Now that c has to be at least x which is her goal, it now will look like this x - 45 + c = x. But we're not done, the question said that now she 5$ over her goal, or x. So we have to add the + 5 onto the end so now it looks like this x - 45 + c = x + 5. To solve the equation "if you have to" it would be x = 50$ per day.

Find the value of x if b=8 and a=6

Answers

Answer:

x = 10

Step-by-step explanation:

Using the Pythagorean theorem:

8² + 6² = x²

64 + 36 = x²

x² = 100

x = 10

whats the gcf of 36 and 96??? suoer confused on this one too :(

Answers

Answer:

12! Hope this helped

Step-by-step explanation:

-3x - 5 = 16

x=???

[need to right more because my question is too short stuff in brackets is irrelevant]

Answers

Add five to both sides
-3x = 21
Divide by -3 on both sides
x = -7

✨✨Answer number 7please ✨✨

Answers

Answer: A

Step-by-step explanation: This is a rotation. An easy way to tell the difference between a rotation and a reflection is that the order of the points will not change in a rotation. For this problem, pre-image ABCD is still in the order of ABCD when mapped to the image. (You can still follow along the points in that order). When something is reflected, the points swap orders and you would not be able to follow the points in order.

Now that we know this is a rotation, Notice A’ B’ C’ and D’ are all left of the pre-image. This means the mapped image moves counter clockwise.

A certain pizza box holds a 14-inch diameter pizza. If the box is 2 inches high, what is its surface area?

Answers

Answer:

Step-by-step explanation:

HELP PLS Last year 15 students earned an A in math class. If I had 128 students, what percent of students did NOT earn an A?

Answers

Answer:

88%

Step-by-step explanation:

128-15=113

113/128=.882

88%

Please help

What is the unknown value for u:3 = 2:6

Answers

Answer: i think it should be 1:3=2:6

Step-by-step explanation:

Answer:

U=1

Step-by-step explanation:

how much feet is in a mile

Answers

Answer:

5280

Step-by-step explanation:

Answer:

There are 5,280 feet in a mile.

Someone help and plz make sure it’s right

Answers

Answer:

Step-by-step explanation:

all angles must equal to 180

Which rule describes why these triangles are congruent?

Answers

Answer:

Angle-Side-Angle Postulate

Step-by-step explanation:

The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent

A square has an area of 36 m2. The square is scaled in such a way that its area is increased by 28 m2. What is the approximate factor by which the length of the side of the square is increased?

Answers

Answer:

28/36 shd give u the answer

answer in 1:ur answer

hat is the slope and y-intercept of the linear function?

y = -8x + 2

Answers

Answer:

-8

Step-by-step explanation:

Okay so in y=mx+b equations like this one, m is the slope, so whatever number before x is the slope

8/9 times 45 in simplest form

Answers

Answer:

Step-by-step explanation:

8/9 x 45 = 8 x 5 = 40

Hope that helps!

Answer:40

Step-by-step explanation:

Prove cosxtanx = sinx

Answers

cos(x)tan(x)

Transform the expression by using the formula for tan theta:
tan(t)= sin(t)/cos(t)

cos(x)= sin(x)/cos(x)

Cancel out the cos(x) since it’s on both sides

Final answer : sin(x)

cos(x)tan(x) is equal to sin(x)

Which is the most descriptive name for the shape below?

shape
A. square
B. rectangle
C. rhombus
D. quadrilateral

Answers

B. Rectangleeeeeeeeeeeeeeeeeee

Answer:

It's either B or D

Step-by-step explanation:

Which do you think it is?

A rectangle has an area of 2x2 - 19x +45 ft? What are the dimensions of the rectangle? (hint: factor)

Answers

I think the answer is (2x - 9)(x - 5)

The dimensions of the rectangle will be (2x - 9)(x - 5).

What is a quadratic equation?

A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Given that the area of the rectangle is represented by a quadratic equation 2x² - 19x +45.

The dimensions of the rectangle will be the factors of the quadratic equation.

2x² - 19x + 45

2x² - 10x -9x + 45= 0

2x( x - 5 )-9(x - 5)= 0

( 2x - 9 ) ( x - 5 ) = 0

Therefore, the dimensions of the rectangle will be (2x - 9)(x - 5).

To know more about quadratic equations follow

https://brainly.com/question/1214333

#SPJ2

What is the slope of the line that goes through the points (12, 5) and (7, 2)

Answers

Answer:

3/5

Step-by-step explanation:

5-2 = 3

12-7 = 5

3/5

can someone please help me with this?

Answers

The answer is 3y=-9x-6

I will mark brainliest

Answers

Answer:

I think It would be A but I'm not exactly sure

Answer:

It's d no. 5/ x - 2 is the answer of your question

Hiiooo can someone please help me with this ❤️

Answers

Answer:

3.2

Step-by-step explanation:

ABCD and JKLM are similar. To find the x, first find the ratio for all of the sides.

AD and JM are similar --> 2.4 / 3 = 0.8

BC and KL are similar --> 4 / 5 = 0.8

DC and ML are similar --> 2.4 / 3 = 0.8

AB and JK are similar --> 4 × 0.8 = 3.2

Hope this helps, thank you :) !!

The width if a rectangle is 4ft and the length is unkown. If the area is the expression 12x + 24 what is the unkown length?

Answers

Answer:

Length=6 ft

Step-by-step explanation:

Which figure can be formed from the net?

Answers

first option ,, it will be the first option

Answer:

the answer is the bottom right one.

Step-by-step explanation: I took the k12 test

URGENT !!!!!!!!! Please answer correctly !!!!! Will be marking Brianliest !!!!!!!!!!!!!!!!

Answers

6 of the squares/tiles

Help please I dunno what to do

Answers

Answer:

(2y+14.6m+3.8)-(34.8m+15.6+2y)

-20.2m-11.8

Help again please. Its still late.

Answers

Answer:

The answer is c.

Step-by-step explanation:

What's the answer to 1.6(2.5-10)+8.2=???

Answers

Answer:

-3.8

Step-by-step explanation:

1.6(2.5-10) + 8.2

1.6(-7.5) + 8.2

-12 + 8.2

-3.8

Answer:

-3.8

Step-by-step explanation:

1.6 * 2.5 = 4

1.6*-10 = -16

4-16+8.2

4-16 = -12

-12+8.2 = -3.8

when mark was 2 years old his parents invested 2,000 in a money market account with annual average interest rate of 8% after 15 years how much money will he have in the account

Answers

Answer:

$4400

Step-by-step explanation:

I=PRT

I=(2000)(8%)(15)

I=4400

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