Identify the equation of a line in slope-intercept form that is perpendicular to y = -1/3 x + 2 and passes through (2, 1).

Please explain your answer with steps. I will give brainliest to the proper answer.

Answers

Answer 1
To get your answer, you will need to find the perpendicular slope for -1/3x which is just the opposite therefore it will be 3x. Your slope is 3x as perpendicular so use this slope to do point slope. Y-1=3(x-2). Distribute y-1=3x-6. Add 1 to both sides. (-1+1) (-6+1)=-5. So your equation in slope intercept form is y=3x-5. Going through the two points.

Hope this helps!

Related Questions

I need help with first question ??

Answers

Answer:

Slope = 3

Step-by-step explanation:

Slope formula

(y2 - y1) / ( x2 - x1)

Where the x and y values are derived from the coordinates

Choose any two given ordered pairs and plug them into the formula

The points chosen may vary but the points I chose were (1,3) and (2,6)

( Note that ordered pairs are written as (x,y))

Next we want to define the variables

x1 = 1

x2 = 2

y1 = 3

y2 = 6

Finally we plug in the values into the slope formula

(6-3) / (2-1)

Subtract top values

3/(2-1)

Subtract bottom values

3/1

Simplify

slope = 3

justin surveyed his freibds about how mant pets they have use the data in the table to find the median mode and range

Answers

Answer:

where is the data from the table?

Add the following complex numbers:
(4-2i) + (12 + 7i)
O A. -8 + 9i
O B. 16 + 9i
O C. 16 + 5i
O D. -8 + 5i

Answers

Answer:

option c

Step-by-step explanation:

(4 - 2i) + (12 + 7i)

multiply the brackets first

4 - 2i + 12 + 7i

combine like terms

16 + 5i

Answer:

O C. 16+5i

Step-by-step explanation:

=(4+12) + (7i-2i)

=16+5i

8(2x - 9) = 4(5 + 4x) solve for x

Answers

Answer:

No solutions

Step-by-step explanation:

8(2x - 9) = 4(5 + 4x)

Distribute the 8

16x - 72 = 4(5 + 4x)

Distribute the 4.

16x - 72 = 20 + 16x

Add 72 to both sides

16x = 92 + 16x

Subtract 16x from both sides

0 = 92

0 does not equal 92 therefore there are no solutions

Answer:

No solution

Step-by-step explanation:

8(2x - 9) = 4(5 + 4x)

Simplify

8(2x−9).

Start simplifying.

0+0+8(2x−9)=4(5+4x)

Simplify by adding zeros.

8(2x−9)=4(5+4x)

Apply the distributive property.

8(2x)+8(−9)=4(5+4x)

Multiply 2 by 8.

16x+8(−9)=4(5+4x)

Multiply 8 by −9.

16x−72=4(5+4x)

Simplify

4(5+4x).

Apply the distributive property.

16x−72=4×5+4(4x)

Multiply 4 by 5.

16x−72=20+4(4x)

Multiply 4 by 4.

16x−72=20+16x

Move all terms containing x to the left side of the equation.

Subtract 16x from both sides of the equation.

16x−72−16x=20

Combine the opposite terms in

16x−72−16x.

Subtract 16x from 16x.

0−72=20

Subtract 72 from 0.

−72=20

Since −72 ≠ 20, there are no solutions.

Hope it is helpful...

please help !!! 5 minutes !!!

Answers

Answer:

Step-by-step explanation:

2 is the correct answer

Answer:

4

Step-by-step explanation:

The answer is the LCM of all the denominators (Least Common Multiple)

All the denominators: 4, 2, 4

The LCM of this set of denominators is 4.

The answer is 4.

Check: [tex]-\frac{3}{4} m-\frac{1}{2} =2+\frac{1}{4} m[/tex]

[tex]-\frac{3}{4} m(4)-\frac{1}{2}(4) =2(4)+\frac{1}{4} m(4)==-3m-2=8+m[/tex]

[tex](5^{3})^{-3}[/tex] pls

Answers

[tex] \frac{1}{1953125} [/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]( { {5}^{3} })^{ - 3} \\ \\ which\:means \:that \: {5}^{3}\: is \:multiplied \:thrice\: with\: itself\\ \\ = {5}^{3 \times - 3} \\ \\ = {5}^{ - 9} \\ \\= \frac{1}{ {5}^{9} } \\ \\ = \frac{1}{5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5} \\ \\ = \frac{1}{1953125} [/tex]

Note:-

[tex]( { {a}^{m} })^{n} = {a}^{m \times n} [/tex]

[tex]{a}^{ - m} = \frac{1}{ {a}^{m} }[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

The clock has a diameter of 22 inches. What is the circumference of the clock?

Answers

Answer:

The circumference is 44

Answer:

34.56

Step-by-step explanation:

C = 2πr = 2 · π · 5.5 ≈ 34.55752

Which equation represents a proportional relationship that has a constant of proportionality equal to 2?
y = x + 2
y = x/2
y = 2 x
y = 2


pls hurry

Answers

Y = 2. Is proportional equal
Not sure how to work this out but if you figure it out let me know as I struggle with this too!

(18)Calculate the volume of this shape

Answers

Answer:

108 cm cubed

Step-by-step explanation:

(1/2 of length•height)•width

(1/2 of 6•4)•9

(1/2 of 24) •9

12•9

108

write the set builder form of
{1, 1/4, 1/9, 1/16, 1/25}​

Answers

here i hope this answer will help you

The domain of u(x) is the set of all real values except 0 and the domain of v(x) is the set of all real values except 2. What are the restrictions on the domain of (u circle v) (x)?

Answers

Answer:

A≈1075.21

d Diameter

37

d

r

r

r

d

d

C

A

Using the formulas

A=

π

r

2

d=

2

r

Solving forA

A=

1

4

π

d

2

=

h1

4

π

37

2

1075.21009

Step-by-step explanation:

¿Numeros entre 0,1 y 0,5?

Answers

Answer:

0.2

0.3

0.4

Step-by-step explanation:

2^5×8^4/16=2^5×(2^a)4/2^4=2^5×2^b/2^4=2^c
A=
B=
C=
Please I'm gonna fail math

Answers

9514 1404 393

Answer:

  a = 3, b = 12, c = 13

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)/(a^c) = a^(b-c)

  (a^b)^c = a^(bc)

___

You seem to have ...

  [tex]\dfrac{2^5\times8^4}{16}=\dfrac{2^5\times(2^3)^4}{2^4}\qquad (a=3)\\\\=\dfrac{2^5\times2^{3\cdot4}}{2^4}=\dfrac{2^5\times2^{12}}{2^4}\qquad (b=12)\\\\=2^{5+12-4}=2^{13}\qquad(c=13)[/tex]

_____

Additional comment

I find it easy to remember the rules of exponents by remembering that an exponent signifies repeated multiplication. It tells you how many times the base is a factor in the product.

  [tex]2\cdot2\cdot2 = 2^3\qquad\text{2 is a factor 3 times}[/tex]

Multiplication increases the number of times the base is a factor.

  [tex](2\cdot2\cdot2)\times(2\cdot2)=(2\cdot2\cdot2\cdot2\cdot2)\\\\2^3\times2^2=2^{3+2}=2^5[/tex]

Similarly, division cancels factors from numerator and denominator, so decreases the number of times the base is a factor.

  [tex]\dfrac{(2\cdot2\cdot2)}{(2\cdot2)}=2\\\\\dfrac{2^3}{2^2}=2^{3-2}=2^1[/tex]

The length of the triangle for the pool table is the twice the sum of 5 and a number. If the rack is equilateral, what is the perimeter, in inches, of the triangle?​

Answers

Answer:  

30 + 6x inches

Step-by-step explanation:  

Let the required number be x

If the length of the triangle for the pool table is twice the sum of 5 and a number

L = 2(5+x)

L = 10+2x

Since the triangle is quadrilateral, this means that all sides are equal

Perimeter = 3L

Perimeter = 3(10+2x)

Perimeter = 30+6x

Hence the perimeter, in inches, of the triangle is 30 + 6x inches

which of the following functions best describes this graph

Answers

Answer:

D

Step-by-step explanation:

when x=2,6 then y=0

when y=12 then x=0

only applies for D

If it takes star 1/2 a can of sauce to cover 3/4 of a pizza,compute the unit rate in terms of cans of sauce per pizza

Answers

I think it might take 4/6, or 2/3

Explanation: because 1/2 a can of sauce covers 3/4 of the pizza, you still need 1/4 of the pizza covered. 1/4 if 1/3 of 3/4. That means you need an additional 1/3 of the 1/2 can of sauce - 1/3 of 1/2 is 1/6. So, if we add the original 1/2, which is equal to 3/6, with the additional 1/6, we get 4/6. 4/6 can be simplified to 2/3. I’m not sure if I’m right cause I’m bad at math but you could give it a try. :)

Which letter in the word HAPPY has an order 2 rotational symmetry?

H
A
P
Y

Answers

Answer:Option 1) H

Step-by-step explanation:

Answer:

its H

Step-by-step explanation:

EDG 2021

what is the relationship between vectors u={1,0} and v={0,-3}?

Answers

Answer: Hi, your answer would be  

C) The vectors are orthogonal because the angle between them is 90°.

The measures of the angles of a triangle are shown in the figure below. Solve X.

Answers

Answer:

x = 106º

Step-by-step explanation:

There are 180º in every triangle

x = 180 - 32 - 42

x = 106º

Answer:

x= 106 degree

Step-by-step explanation:

x + 42 + 32=180 degree (sum of interior angles of a triagle is 180 degree)

x + 74 = 180

x = 180 - 74

x = 106 degree

Which equation represents a relationship where y is a nonlinear function
of x?
O x = -6y

O y = IxI- 3

O 3x + 4y = 8

O 4x - 3y + 2 = 8x-5y+12929

Answers

Step-by-step explanation:

if you use the online graphing calculator it will help you

A North American river otter wants to cross the North Saskatchewan river. It can swim at a speed of 2.75 m/s. In that location, the distance directly across the river is 45.0 m and the current velocity is 2.5 m/s.

a) How much time does the otter take to get to the other side, if it points directly across the river?

Answers

Answer:

time=16.3 sec

Step-by-step explanation:

let time taken be x

speed=distance/time taken

2.75=45/x

2.75x=45

x=45/2.75

x=16.36

x=16.3 seconds

The time taken is 16.3 seconds.

What is speed?

Speed = Distance/Time

This informs us how slowly or quickly an object moves. It defines the distance traveled divided by the time brought to cover the distance. Speed stands directly proportional to distance and inversely proportional to Time.

Let x be the time taken

speed = distance/time taken

2.75 = 45/x

2.75x = 45

x = 45/2.75

x = 16.36

x = 16.3 seconds

Therefore, the time taken is 16.3 seconds.

To learn more about speed

https://brainly.com/question/21904438

#SPJ2

x=3, and y=-4: -5(x-2) + 3y

Answers

-17 -5(3-2)+3x-4= -17

Answer:

-17

Step-by-step explanation:

Substitute 3 for x and -4 for y

-5(x-2) + 3y

-5 ( 3 - 2 ) + 3 * -4

-5 * 1 + 3 * -4

-5 - 12

-17

If an relationship is proportional what is the missing value from the table?​

Answers

Answer : 12

Explanation :

In the first row of the table, we find that the -2 is the change, and in the third row -6 is the change.

Using this, we can find that the second row should have -4 subtracted from 16.

We know this because from looking at the changes from the first and second row, the differences multiply by two, as the rows increase. So -2 multiplied by 2 is -4, and 16 subtract 4 is 12.

What is the approximate distance between two points with coordinates (3,5) and (-4, -8)? Round your answer to the nearest hundredth.​

Answers

Answer:

15 (rounded) 14.7 (not rounded)

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

use the distance formula

d = √((x2-x1)^2 + (y2-y1)^2)

d = √((-4-3)^2 + (-8-5)^2)

d = √((-7)^2 + (-13)^2)

d = √(49 + 169)

d = √218

d = 14.76 ≅ 15

In Hackensack High School, the ratio of students to teachers is 9 to 2. If there
are 90 teachers at the High School, how many students are there?

Answers

I guess the answer is 405.

Because the value of 1 is 45 and 2×45 =90

9×45=405.

Hope it helps you:)

Step-by-step explanation:

students : Teachers

9 : 2

? : 90

students = 9 x 90 ÷ 2

students = 405

The question's attached in the file; I tried solving it in 4 different ways and ended up confusing myself more and more each time.

Answers

(x+3)² = (16+x-3) (x-3)

x²+6x+9=(x+13)(x-3)

x²+6x+9=x²+10x-39

6x-10x=-39-9

-4x=-48

x = 12

=> NM = 12+3 = 15

Find measure of angles B, E, D and C and the length of BC.


Triangle ABC ~ Triangle DEF. Measure of angle A = 30 degrees and measure of angle F = 65 degrees. AB=20, DE = 35, EF= 28.

Answers

Answer:

< B = 180-30-65=85°

< E = 85°

< D = 30°

< C = 65°

BC = 20/35 × 28 = 16

Answer:

<D = 30

< C = 65

<B = <E = 85

16 = BC

Step-by-step explanation:

ABC ~ Triangle DEF

<A = <D = 30

< C = <F = 65

Since they are similar triangles

A+ C + B = 180 since the angles of a triangle = 180

30+65+B =180

95+ B = 180

<B = 180 -95 = 85

<B = <E = 85

The triangles are similar so the sides are proportional

AB      BC

----  = ---------

DE      EF

20      BC

----  = ---------

35      28

Using cross products

20*28 = 35 BC

Divide each side by 35

20*28/35 = 35/35 BC

16 = BC

pls help me ill give brainliest and no links ty!<3:)

Answers

T is the midpoint of PQ

PT=TQ

5x+7 = 7x-7

2x= 14

x= 14/2

x= 7

PT = 5(7)+7 = 42

what is the slope of the line that passes through (2,0) and (1,0)??

Answers

Answer:

The slope would be 0

Step-by-step explanation:

used a graphing calculator

hope this helps

these two questions plzz help mee

Answers

I think that the answer for question 6 is D. Hope this helps!
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