Which equation represents a line that has a slope of 1/3 and passes through point (-2,1)?

Answers

Answer 1

Answer:

The equation would be y - 1 = 1/3(x + 2)

Step-by-step explanation:

In order to find this, we simply plug the values we have into point slope form.

y - y1 = m(x - x1)

y - 1 = 1/3(x - -2)

y - 1 = 1/3(x + 2)

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

Slope = m = 1/3

(-2 , 1)

[tex]y - y_{1}= m(x - x_{1})\\y - 1 = \dfrac{1}{3}(x -[-2] )\\\\y - 1 = \dfrac{1}{3}(x + 2)\\\\y - 1 =\dfrac{1}{3}x + \dfrac{1}{3}*2\\\\y=\dfrac{1}{3}x+\dfrac{2}{3}+1\\\\y=\dfrac{1}{3}x +\dfrac{2}{3}+\dfrac{3}{3}\\\\y=\dfrac{1}{3}x +\dfrac{5}{3}[/tex]


Related Questions

Point M(-6,8) is dilated from the origin with a scale factor of 1/2. What is the coordinate of M'? *

Answers

Point M(-6,8) is dilated from the origin with a scale factor of 1/2, hence the new point is M'(-3, 4)

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.

If a point A(x, y) is dilated by a factor k, the new point is A'(kx, ky).

Given Point M(-6,8) is dilated from the origin with a scale factor of 1/2, hence the new point is at:

M'(-3, 4)

Find out more at: https://brainly.com/question/13176891

a shop only buys bananas with length between 13cm and 20cm. Estimate the fraction of the 80 bananas that the shop buys

Answers

Answer:

[tex]\frac{44}{80}[/tex]

Step-by-step explanation:

We know that the shop only buys Banana with lengths between 13 cm and 20 cm.

So, the fraction of the 80 bananas is actually a ratio between the y-values of each length (13 and 20 cm) and the total 80. First, let's see which y-values belong to each length.

Notice that 13 below to 20 at Cumulative Frequency. And 20 belongs to 62. So, the pairs are (13,20) and (20,62).

[tex]\frac{62-20}{80} =\frac{42}{80}[/tex]

Therefore the shop only buys 42 bananas out of 80, because those are between 13 cm and 20 cm.

Answer:

44/80

Step-by-step explanation:

hello can anyone help with this?

The distance between Heysham and the Isle of Man is 80 km.
A hovercraft travels at 50 km per hour.
How long does the journey take?

Answers

50/1 =80/x
50x=80
Divide both sides of the equal sign by 50 to get variable by itself
x= 1.6
Your answer is 1.6 of an hour for the journey

Answer:

1 hour 36 minutes

Step-by-step explanation:

Amount of time the journey takes = 80km ÷ 50km/h

                                                        = 1.6h

                                                        = 1h 36mins

The perimeter of a rectangle is 84 cm. If the length is 17 cm, how wide is the rectangle?
A) First write an equation you can use to answer this question. Use w as your variable in the equation

B) Solve your equation in part [A] to find the width of the rectangle.
Answer: The rectangle is
cm wide.

PLS HELP I NEED THIS ASAP

Answers

Answer:

width = 25cm

Step-by-step explanation:

perimeter = 84

length =17

A) 84 = 17(2) + 2w

B) 84 = 34 + 2w

 -34      -34

50=2w

/2     /2

25=w

A walking path across a park is represented by the equation y=-2x-7. A
new path will be built perpendicular to this path. The paths will intersect at
the point (-2,-3). Identify the equation that represents the new path.

A. y = 1/2 x - 2

B. y = 2x +1

C. y = -2x-7

D. y = -1/2 x- 4

Answers

Answer:

d

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

A car dealership increased the price of a certain car by 11%. The original price was $45,400.

Answers

Answer:

$49,527.27273 or $49,527

Step-by-step explanation:

45,000/11

$4,127.272727 or $4,127

$45,400 + $4,127

$49,527

I am a 4 digit number.My hundred's digit is 4 less than my thousands digit.My unit's digit is 7 less than my ten's digit.My ten's digit is 3 more than my hundred's digit.My thousand's digit is the largest single digit number.what number am i?​

Answers

Answer:

9581

Step-by-step explanation:

Ig1000+log342 - 1 -123​

Answers

Answer:

log(342) - 121

Step-by-step explanation:

-121 + log(342) is a transcendental number

-115.165189262937394847783249972808918485...

3. Due to leakage, 30% of the water was lost from a water tank. If
only 340 liters of water is left in the tank now, find the total
capacity of the water tank?
HELPP

Answers

Answer:

1133.3 liters of water after leakage.

Step-by-step explanation:

x*.30=340

x=340/.30

x=1133.33

The total capacity of the water tank is 1133.33 liters of water after leakage.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We have given Due to leakage, 30% of the water was lost from a water tank. If only 340 liters of water is left in the tank now, then we need to find the total capacity of the water tank.

x*.30 = 340

x = 340/.30

x = 1133.33

Hence, the total capacity of the water tank is 1133.33

Learn more about the unitary method;

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Look at the image and determine a answer please.

Answers

Answer:

Dividing

Step-by-step explanation:

z = -72

classify each pair of angles as alternate interior alternate exterior or corresponding

Answers

Answer:

1. corresponding

2. alternate interior

3. supplementary

4. interior

Step-by-step explanation:

1. <5 and <1 are corresponding angles because they are above each parallel line and are on the same side of the transversal.

2. <4 and <6 are alternate interior angles because they are in between the parallel lines, and are on opposite sides of the transversal.

3. <2 and <7 are supplementary angles because <2 is above the top parallel line and <7 is beneath the bottom parallel line, and they are on the same side of the transversal.

4. <3 and <6 are (consecutive) interior angles because they are in between the parallel lines, and are on the same side of the transversal.

Hope this helps you out!! Have an awesome day ;)

1) < 5 and < 1 are corresponding angles that lie on the same side of the transversal.

2) < 4 and < 6 are alternate interior angles that do not have a common vertex on alternate sides of the transversal.

3) < 2 and < 7 are (non-adjacent) supplementary angles whose measures add up to 180 degrees.

4) < 3 and < 6 are interior angles that lie on the same side of the transversal.

The length of a rectangular fence is 1 foot longer the width. The area is 132 feet^2. How long is the length of the fence?

Answers

xx+1=132=131=xx=x=131/x

The perimeter of this rectangle si __________ units

Answers

The answer for this question is 14

L + B (x2) = 7+2 (x2)

9 x 2 = 18 (si units can be cm, m..?)

A 230 inch pipe is cut into two pieces. One piece is 4 times length of the other. find the length of the shorter piece

Answers

Answer: 46 x 4 = 184

184 + 46 is 230

Step-by-step explanation:

You have $75 in your bank account. Each week you plan to deposit $8 from your allowance and $25 from your paycheck. The equation b=75+(25+8)w gives the amount b in your account after w weeks. How many weeks from now will you have $270 in your bank account?

Answers

Answer:

Step-by-step explanation:

Combine the two sources of income (25 + 8) = 33

b = 75+ (33)w

Let b = 270

Solve for w

270 = 75 + 33*w           Subtract 75 from both sides

270 - 75 = 33w

195 = 33w                     Divide by 33

195/33 = w            

w = 5.91 weeks              

The question is what do you do now?

The answer should be that you round to the next week which means that it will take you 6 weeks to get just over 270 dollars.

Find the slope of each line.

Answers

Answer:

Slope: - 5/2

Step-by-step explanation:

the sum of a number and 11

Answers

Hello!

The sum of a number and 11:

Let's say that the number is x. So the expression "the sum of a number and x" looks like this:

x+11

Hope this helps you!

~Just an emotional teen who listens to her favourite songs

[tex]SilentNature[/tex]

Hey there!

Guide:

• The word “sum” means “add” or “addition”

• The word “difference” means “subtract” or “subtraction”

• The word “product” means “multiply” or “multiplication”

• The word “quotient” means “divide” or “division”

NOW THAT WE HAVE ALL OF THAT INFORMATION, WE CAN SOLVE FOR YOUR EQUATION

“The SUM of a number and 11”

Well since the “number” is unknown we can label it as “a” so we can know what we’re ADDing to 11…

So, your equation should be: a + 11

Answer: a + 11

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Please help! See algebra question..

Answers

Answer:

n=-10

Step-by-step explanation:

n+3=-7

n=-7-3

n=-10

this helps thank you

branlist please

Answer:

n = -10

Step-by-step explanation:

solving a one step equation with a missing variable

step 1: subtract 3 from both sides of the equation then simplify

ex: n + 3 - 3 = -7 - 3   (n = -10)

step 2: take your answer of n which is -10 and add plug it in into your original equation n + 3 = -7 and solve to check your answer

ex: n + 3 = -7   (-10 + 3 = -7)

add

-10 + 3 = -7

-7 = -7   (if both sides of the equation are the same numbers like -7 = -7 then your answer is true making n = -10 your answer) i would love to get brain if this is correct and helps <(^w^)>

A swimming pool is being constructed so that it is the upper part of aninverted square-based pyramid.a. Calculate H.b. Calculate the volume of the pool.c. How many 6 m3bins will be required to take the dirt away?d. How many litres of water are required to fill this pool?e. How deep is the pool when it is half-filled?

Answers

Answer:

2

Step-by-step explanation:

6 sides by 6 adding 4x4=12

Find m Give explanation please

Answers

Answer:

m < FGN = 88°

Step-by-step explanation:

The exterior angle theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles (also known as remote interior angles).

Given the exterior angle, m <FGN = (7x + 18)°, and the two remote interior angles, m < E = 38° and m < F = (6x - 10)°:

The following equality statement can be established according to the exterior angle theorem:

m < E  + m < F  = m <FGN

38 + 6x - 10 = 7x + 18

Combine like terms:

28 + 6x = 7x + 18

Subtract 6x from both sides:

28 + 6x - 6x = 7x - 6x + 18

28 = x + 18

Subtract 18 from both sides:

28 - 18 = x + 18 - 18

10 = x

Next, substitute the value of x = 10 into the equality statement to determine whether it is the correct value of x, and to find the measures of < FGE and < F.

m < E  + m < F  = m <FGN

38° + (6x - 10)° = (7x + 18)°

38 + 6(10) - 10 = 7(10) + 18

38 + 60 - 10 = 70 + 18

88 = 88 (True statement).

Therefore, m < FGN = 88°

The sequence 2, 9, 20, 35, . . . is another example of a rectangular number pattern, as illustrated in the art below. What is the 50th term of this sequence?

Answers

Answer:

345 is the answer

Step-by-step explanation:

use the nth term sequence and you get 7n-5 just substitute 50 and you get that hope I helped!

The 50th term of this arithmetic sequence will be 9655.

What is an arithmetic sequence?

Let a₁ be the first term and d be a common difference. Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

The sequence 2, 9, 20, 35, . . . is another example of a rectangular number pattern, as illustrated in the art below.

The first term is 2 and the common difference depending on 'n' will be given as 4n - 3.

Then the 50th term of this arithmetic sequence will be

aₙ = a₁ + (n - 1)d

aₙ = a₁ + (n - 1)(4n - 3)

a₅₀ = 2 + (50 - 1) × (4 × 50 - 3)

a₅₀ = 2 + 49 × 197

a₅₀ = 2 + 9653

a₅₀ = 9655

The 50th term of this arithmetic sequence will be 9655.

More about the arithmetic sequence link is given below.

https://brainly.com/question/12373434

#SPJ2

May I please receive help?

Answers

Can you please put a more bigger picture?

PLEASE HELP IM BEGGGINGGG

Answers

Answer:

the answer is (a) a//b

Step-by-step explanation:

perpendicular means that two lines that do not cross over each other.

Solve. Show work

Y = -1/2 (-2) + 2

Answers

Answer:

[tex]→y = \frac{ - 1}{2} ( - 2) + 2[/tex]

[tex]→y = 1 + 2[/tex]

[tex]→y = 3[/tex]

Answer:

[tex]y=3[/tex]

Step-by-step explanation:

First distribute:

[tex]y=-\frac{1}{2} (-2)+2[/tex]

[tex]y=1+2[/tex]

Add:

[tex]y=3[/tex]

Hope this helps! :)

May I please receive help?

Answers

Answer:

J= 16.857°

K= 88 .4°

L=74.7°

Step-by-step explanation:

let x represent the angle of J

x° +(4x+21)° +(2x+41)° =180°

x + 4x + 21 + 2x + 41= 180° ( sum of angles in a triangle)

Collect like terms

x + 4x + 2x = 180 - 21 - 41

7x = 180

x =180/7

x=16.857

Therefore,

J = 16.857°

K=4x+21

=4(16.857)+21

= 67.4+21

=88.4°

L=2x +41

=2(16.857)+41

=33.7+41

= 74.7°

Sum of angles in the triangle =

16.857+88.4+74.7=179.9 approximately 180°

Hope this helps....

Find the measure of each angle indicated 12,13,14

Answers

Answer:

Step-by-step explanation:

12. 15 (3x5x1)

13.  8  (4x2x1)

14. 18 (6x3x1)

Find the missing side of each triangle. Leave your answer in simplest radical form.
(Please show ur work)

Answers

>> Answer

___________

[tex] \: [/tex]

[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]

Step by step :

x² = 12² + 10²

x² = 144 + 100

x² = 244

x = 2[tex]\bold{\sqrt{61}}[/tex]cm

subtract (3x^3-2x+5)-(-4x^3+3x-6)

Answers

Answer:

7x^3-5x+11

Step-by-step explanation:

(3x^3-2x+5)-(-4x^3+3x-6)

Distribute

3x^3-2x+5+4x^3-3x+6

Simplify

7x^3-5x+11

3x³-2x+5-(-4x³+3x-6)3x³-2x+5+4x³-3x+63x³+4x³-2x-3x+5+67x³-5x+11

Find an equation in point-slope form for the line having the slope m= - 4 and containing the point (4,5).
The equation in point-slope form is
(Use integers or fractions for any numbers in the equation.)

Answers

Answer:   y - 5 =  - 4 (x - 4)

Step-by-step explanation:

The point-slope form of a line is (y - y₁) = m(x - x₁)

Since we know the slope (m) is -4

And the point  ( x₁, y₁ ) is (4, 5)

Then we can just plug these into the equation above:

                               ⇒  y - 5 =  - 4 (x - 4)

I often use Desmos to check my answer. As seen below, the equation does pass through the point (4, 5).                                      

Lesson. Derative of trigonometric functions

Answers

Answer:

Step-by-step explanation:

What are the Derivatives of the 6 Trig Functions?

Derivation of sin x: (sin x)' = cos x.

Derivative of cos x: (cos x)' = -sin x.

Derivative of tan x: (tan x)' = sec2 x.

Derivative of cot x: (cot x)' = -cosec2 x.

Derivative of sec x: (sec x)' = sec x. tan x.

Derivative of cosec x: (cosec x)' = -cosec x. cot x.

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