slope 1/6 , x-intercept at -1

Answers

Answer 1

Answer:

[tex]{ \underline{ \sf{6y = x + 1 }}}[/tex]

Step-by-step explanation:

[tex]y = mx + c[/tex]

m is slope

c is y intercept.

at x-intercept, y = 0

[tex]0 =( \frac{1}{6} \times - 1 )+ c \\ \\ c = \frac{1}{6} [/tex]

Answer 2

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the given line is 6y=x+1.

What is the equation of a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

Given that the slope of the equation of the line is 1/6, while the x-intercept is at -1. Therefore, if we substitute the coordinate of the intercept and the slope in the equation in the general equation of the line. We will see,

y = mx + c

0 = (1/6)(-1) + c

0 = -1/6 + c

c = 1/6

Now, the equation of the line can be written as,

y = (1/6)x + (1/6)

y = (x/6) + (1/6)

y = (x+1)/6

6y = x + 1

Hence, the equation of the given line is 6y=x+1.

Learn more about Equation of Line here:

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Slope 1/6 , X-intercept At -1

Related Questions

What is the least positive integer by which 1922 should be divided so that the resultant integer is a
perfect square?

Answers

Answer:

1922 = 2× 31 × 31

Therefore, 1922 should be divided by 2 to get 961 which is a square of 31.

I hope this helped!

At a school camp there is enough food for 150 students for 5 days.
a How long would the food last if there were only 100
students?

Answers

Answer:

If there were only 100 students, there would be enough food for 3 days.

Step-by-step explanation:

Set up an equation:

Variable x = number of days

150/5 = 100/x

Cross multiply:

150 × x = 5 × 100

150x = 500

x = 3.3333...

Round down to a whole number which represents a full day of food.

x = 3

I’ve been stuck on this for days I just need a simple answer

Answers

Answer:

408

Step-by-step explanation:

Surface area formula is A=2(wl+hl+hw)

Substituting these values into the formula you would get

2·(3·8+4·8+4·3)=136

136 accounts for one rectangular prism.

Since you have 3 multiply 136 by 3 which would leave you with 408

Answer:

280 in²

Step-by-step explanation:

The opposite faces are congruent , then surface area (SA ) is

SA = top/ base + front/ back + 2 sides

note for the front/ back and 2 sides we have 3 + 3 + 3 = 9 in

   SA  = 2(8 × 4) + 2(8 × 9) + 2(4 × 9)

         = 2 × 32 + 2 × 72 + 2 × 36

        = 64 + 144 + 72

      = 280 in²

Find the coordinates of the image of M (−3, −4) after the translation (x, y) → (x + 4, y).

A. (−3, 0)
B. (−1, −4)
C. (1, −8)
D. (1, −4)

Answers

Answer:

d

Step-by-step explanation:

its d

cause x becomes x+4 to get 1
and y remains y.

2. The ratio of chocolate to vanilla ice cream is 3 scoops to 7 scoops. If there
are 147 scoops of vanilla ice cream, how many total scoops are there?

Answers

I think there are 210 total scoops

Solve the equation-

200=16(6t-3)

Answers

Hi ;-)

200 = 16(6t - 3)

16 · 6t - 16 · 3 = 200

96t - 48 = 200  / + 48

96t = 248  / : 96

t = ²⁴⁸/₉₆ = ³¹/₁₂ = 2 ⁷/₁₂

The solution of the linear equation 200 = 16 (6t - 3) will be 2.58.

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given below.

200 = 16 (6t - 3)

Simplify the equation, then the value of the variable t will be

200 = 16 (6t - 3)

12.5 = 6t - 3

6t = 15.5

t = 2.58

The solution of the linear equation 200 = 16 (6t - 3) will be 2.58.

More about the solution of the equation link is given below.

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PLS HELP ASAP PLS
A net of a triangular prism is show. What is the surface area, in square feet, of the triangular prism?
44 square feet
96 square feet
108 square feet
120 square feet

Answers

Hello!

To find surface area, all you need to do is add up the areas of all the faces of the prism. Let’s start by remembering some basic area formulas:

Area of a triangle= 1/2*base*height
Area of a rectangle= length*width

First, find the area of each of the little triangles on the sides of the net. The base is 3 ft, and the height is 4 ft. So:

1/2*3*4= 6 ft

There are two triangles of the same size, so multiply that number by 2.

6*2=12

Now, find the area of the top rectangle:

3*8= 24

And the area of the bottom rectangle:

5*8= 40

Finally, add all of those numbers together:

12+24+40= 76 ft^2

That should be your answer!

(-4, 6) and (3,-7)
Find the distance between each pair of points

Answers

Answer:

14.76482306

Step-by-step explanation:

distance equals the square root of (x2-x1)^2 + (y2-y1)^2.

think of your ordered pairs as set 1 and set 2. (-4, 6) would be set 1 and (3, -7) would be set 2. so your equation will look similar to: (3- -4)^2 + (-7-6)^2 then you square root the whole thing and you will have your answer.

How do you solve this?

Answers

Answer:

Its minus 70 every time

Step-by-step explanation:

n=32

Answer:

it will take 36 months to completely pay the loan

Step-by-step explanation:

see that if the number of months paid is 1 and the amount owed is 2450 and that on number of months paid is 2 and then the amount owed is 2380

every month we have to substract 70

so we can make a pattern

0 months = 2520

1 month = 2450 that is 2520 - 70

2 months =  2380 that is 2520 - (2 × 70)

3 months = 2310 that is 2520 - (3 × 70)

.....

then it continues till n months

so

n months = 2520 - (n ×70)

n months = 2520 - (36 × 70)

36 months = 2520 - 2520

3 6/12 rounded to the nearest whole number

Answers

Answer:

4

Step-by-step explanation:

6/12= .5

3.5≈4

Can anyone help me find w

Answers

Hmmmmmm ok you add everything up then subtract it all

The goal of a benefit concert is to collect 50,000 cans of food. Food is collected at each entrance to the concert.
Entrance A, 15,682 cans
Entrance B, 18,940 cans
Entrance C, 16,114 cans
Entrance D, 12,468 cans
Did they collect more or fewer cans than desired? How many more or fewer?

Answers

Answer:

they collected altogether 63204 cans

so,they collected 13204 cans more than desired

Please answer this
Answer choice
A. Subtraction Property Of Equality
B.Associative Property Of Equality
C.Division Property Of Equality
D.Addition Property Of Equality

Answers

Answer:

step 1. Subtraction Property Of Equality

step 2.Associative Property Of Equality

step 3.Division Property Of Equality

A scientist was in a submarine below sea level, studying ocean life. Over the next ten minutes, she went down 23.9 feet. How many feet had she been below sea level, if she was 82.2 feet below sea level after she went down?

Answers

Answer:

58.3

Explanation:

x is the depth that the scientist started at. The asked equation is

x + 23.9 = 82.2

To find x, all we have to do is reverse the equation by doing

82.2 - 23.9 = x

This gives us x = 58.3

Please helppp!!! I have this question for geometry and I can’t figure it out.

Answers

Answer: shoot proofs

Step-by-step explanation:

Select all expressions that are equivalent to x2 - 4x – 32.
0 (x – 16)(x + 2)
(x + 2)(x – 16)
(2 – )(x + 4)
(x + 8)(x – 4)
(x + 4)(x – 8)
(x – 4)(x+8)

Answers

Answer:

(x + 4)(x – 8)

Step-by-step explanation:

1. (x – 16)(x + 2)

x² - 2x - 16x - 32

x² - 18x - 32

2. (x + 2)(x – 16)

x² - 16x + 2x - 32

x² - 14x - 32

3. (2 – )(x + 4)

2x + 8

4. (x + 8)(x – 4)

x² - 4x + 8x - 32

x² + 4x - 32

5. (x + 4)(x – 8)

x² - 8x + 4x - 32

x² - 4x - 32

6. (x – 4)(x+8)

x² + 8x - 4x - 32

x² + 4x - 32

Which numbers are a distance of 3.5 units from −4 on a number line?

A number line with increments of .5 with a range of 0 to negative 7.5

Select the two correct answers.


−7

−7.5

−6.5

−4.5

−3.5

−0.5

(help)

Answers

To be 3.5 units from -4, you either need to add or subtract 3.5 from -4.

-4 - 3.5 = -7.5

-4 + 3.5 = -0.5

Is 17 a interger or a counting number

Answers

17 is an interger because it is a whole number but I believe it is also a counting number??? You should wait for 2nd answer

The mean age of 6 women in an office is 23 years old.
The mean age of 3 men in an office is 23 years old.
What is the mean age (nearest year) of all the people in the office?

Answers

the mean for both mean and women are 23 so the mean of all the people would be the same.

Answer:23

Find a polynomial f(x) of degree 4 that has the following zeros. 2, 5, 0, -7

Answers

Answer:

Step-by-step explanation:

f(x) = (x - 2)(x - 5)x(x+ 7)

f(x) = (x^2 - 7x + 10)*x * (x + 7)

f(x) = x(x^3 - 39x + 70)

f(x) = x^4 - 39x^2 + 70x

To show that this is correct, I've made a graph with these points labeled. The graph is just around the x axis. The local maximums and minimums are just too large a value.

Xavier buys a two-quart bottle of juice for $5.12. What is the unit rate of the cost of the juice per fluid ounce?
Before you try that problem, answer the question below.
How many fluid ounces of juice did Xavier buy?

Answers

Answer:

2.56

Step-by-step explanation:

2 divided by 512

2 lol

Answer:

Q1. $2.56

Q2. 2 fluid ounces

Step-by-step explanation:

Q1. $5.12÷2=$2.56

Q2. 2 fluid ounces (inferred from qn)

write down 1/y-2/x as a single fraction in its lowest terms​

Answers

Answer:

It is (x - 2y)/xy

Step-by-step explanation:

[tex] \frac{1}{y} - \frac{2}{x} [/tex]

carry out LCM method:

LCM of y and x is xy

[tex] = \frac{x - 2y}{xy} [/tex]

6. A rectangle has a perimeter of 62 feet. If its length is 9 feet longer than its width, find
the dimensions of the rectangle.
62ft

Answers

Answer:

length = 20 ft, width = 11 ft

Step-by-step explanation:

let w be width, then length = w + 9

The opposite sides of a rectangle are equal , then

2w + 2(w + 9) = 62

2w + 2w + 18 = 62

4w + 18 = 62 ( subtract 18 from both sides )

4w = 44 ( divide both sides by 4 )

w = 11

and w + 9 = 11 + 9 = 20

then width = 11 ft and length = 20 ft

Heelp ez question, just answer no steps needed

Answers

Answer:

i think 16 is the correct answer

Step-by-step explanation:

a

A flea which is 8 x 10^-3 can jump 3.5 10^2 times of its own
length. How far can it jump?
meters

Answers

Answer:

(8 × 10 ^-3) (3.5× 10 ^2)

= 2.8 meters

Throughout Singapore it has been estimated that about a billion (1 000 million) cubic meters of water are used each day. If we assume a population of 3 million, what is the rate of consumption of water per person?

Answers

Answer:

333  cubic meters of water are used each day by one person

Step-by-step explanation:

Find the missing number to make these fractions equal.

Answers

I believe the answer is 6

The following 5 keys are for the following 5 locked padlocks. Each key opens one and only one padlock. Different keys open different padlocks. What is the least number of trials needed to guarantee that you will open all 5 padlocks?

Answers

[tex] {5}^{5} [/tex]

is the answer.

4 A curve has equation y=x^3 - 2x² +5. Find the coordinates of its two stationary points.​

Answers

Answer:

Stationary points are (0, 5) and (4/3, 103/27)

Step-by-step explanation:

At stationary point (turning point), dy/dx :

[tex]y = {x}^{3} - 2 {x}^{2} + 5 \\ \frac{dy}{dx} = 3 {x}^{2} - 4x \\ \\ \frac{dy}{dx} = x(3x - 4)[/tex]

but dy/dx = 0:

[tex]x(3x - 4) = 0 \\ either \: x \: is \: 0 \: and \: (3x - 4) = 0 \\ x = 0 \\ and \\ 3x - 4 = 0 \\ x = \frac{4}{3} [/tex]

let y = x³ - 2x² + 5:

[tex]when \: x \: is \: 0 \\ y = 5 \\ when \: x \: is \: \frac{4}{3} \\ \\ y = {( \frac{4}{3}) }^{3} - 2 {( \frac{4}{3} )}^{2} + 5 \\ \\ y = \frac{103}{27} [/tex]

Can someone help me with this ?!! Plz

Answers

Answer:

see image

Step-by-step explanation:

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