Write the equation of the line that passes through the points (2, -6) and (8, -2).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answers

Answer 1
Answer:

y + 6 = 2/3 (x - 2)

Step-by-step explanation:

Step 1. Find the slope

m = slope

m = change in y/change in x

m = (y2 - y1)/(x2 - x1)

points: (2, -6) & (8, -2)

m = (-2 - -6)/(8 - 2)

m = 4/6

m = 2/3

Step 2. Create the point-slope equation by using the slope and the first point

Point-slope formula: y - y1 = m(x - x1)
Where m = slope and (x1, y1) = first point

Point-slope form: y + 6 = 2/3 (x - 2)


Related Questions

12 = 11 1/12 + ___
(More help please this is confusing)

Answers

Answer:

11/12

Step-by-step explanation:

12 = 11 1/12 + ____

=> 12 - 11 1/12 = ____

=> (144 - 133) / 12 = ____

=> 11/12 = _____

Hence,

11/12 is the answer

factorize given
[tex]4sin ^{2} \alpha - 5 sin \alpha - 6[/tex]

Answers

ok i will help you :)

Step-by-step explanation:

Hey there!

See the attached picture.

Hope it helps!

Find the 10th term in the sequence.

1/2, -1, 2, -4

1. 512
2. 125
3. -256

Answers

Answer:

tenth term is -256

Step-by-step explanation:

It is geometric progression:

[tex]a_{n} = a( {r}^{n-1} )[/tex]

r » common ratio, r = 2 ÷ (-1) = -2

a » first term, a = ½

n » number of terms, n is 10

[tex]a_{10} = \frac{1}{2} \{{( - 2)}^{10-1} \} \\ \\ a_{10} = \frac{1}{2} (-512) \\ \\ a_{10} = \frac{-256}{1} [/tex]

Step-by-step explanation:

everything can be found in the picture

pls say hard
very hard​

Answers

Answer:

3

Step-by-step explanation:

605x25 to show the work please

Answers

Answer:

it would be 3025

Step-by-step explanation:

605

x. 5

3025

Answer:

15125

Step-by-step explanation:

   605

   x25

   ------

   3025

+1210

-----------

  15125     

I need help please please help me )):

Answers

Answer:

ok bro I will help you don't worry

How would you solve for f(-x) ?

f(x) = x^2 +3x + 9

Answers

9514 1404 393

Answer:

  f(-x) = x^2 -3x +9

Step-by-step explanation:

Use -x as the argument of the function.

  f(-x) = (-x)^2 +3(-x) +9

  f(-x) = x^2 -3x +9 . . . . . . . . simpify

Find NL. Not sure to to solve this.

Answers

Answer:

NL= 2 × HI

x+24 =2 × (X+16)

x+24=2x + 32

2x-x= 24-32

x= – 8

NL=x+24 = –8 +24= 16

So ; NL= 16

I hope I helped you^_^

X+24 =2(x+16)
X +24 = 2x +32
24-32= 2x-x
X = -8
NL = x+24
NL = -8+24
NL = 16

2. The arithmetic mean of a distribution is 5. The second and the third moments about the mean are 20 and 140 respectively. Find the third moment of the distribution about 10.
Please explain the answer and workings. ​

Answers

Step-by-step explanation:

The arithmetic mean of a distribution is 5. The second and the third moments about the mean are 20 and 140 respectively. What is the third moment of the distribution about 10?

Call the random variable x.

Now, define a new variable y = x - 5. Note that x - 10 = y - 5.

So, it is clear that (x-10)^3 = (y-5)^3

Also, note that (y-5)^3 can be expanded as follows:

Expand (y-5)³

Result ; y³-15 y²+75 y - 125

Letting E denote expectation with respect to the random variable x, we see that

E[(y-5)^3 ] = E(y^3) -15 E(y^2) + 75 E(y) - 125

Again, recalling that y = x - 5, have

E(y^3) = 140

E(y^2) = 20

E(y) = E(x) - 5 = 5 - 5 = 0

Thus,

E[(y-5)^3 ] = 140 -15(20) + 75(0) -125 = -285

Finally, note that

E[(y-5)^3] = E[({x-5} -5)^3] = E[(x-10)^3]

So, we get E[(x-10)^3] = -285.

-y- 3 (-3y+5) helpppppppp

Answers

Answer:

D = 8y-15

Step-by-step explanation:

-y-9y-15 than combine -y and -9y

so = 8y-15

What is Matilda's number?

Answers

Answer:

11

Step-by-step explanation:

The answer will be 11

as she is thinking of prime number so

111 is not a prime number

aswell as 77 is not a prime number

11 is a prime number and is also a multiple of 11

Answer:

11

Step-by-step explanation:

Madura is 25 years younger than her father. Nadira's mother is two years younger than her father. Together Nadira, her mother and father have a combined age of 78. Work out their ages.

Answers

just solve by yourself

Marissa earns $1,000 after taxes twice a month. Marissa's monthly bills are $1,200. Marissa deposits 40% of her remaining monthly income into a savings account and annually saves:

Answers

She saves $3,840 annually into savings account

1. Marissa earns $1,000 after taxes twice a month

This means Marissa earns $2,000 ($1000 x 2) after deduction of taxes

2. Marissa's monthly bills are $1,200.

The monthly bills means expenses that Marissa incurred during the month.

3. Marissa deposits 40% of her remaining monthly income into a savings account

The balance of Marissa earnings per month after deduction of his expenses (bills) is $800 ($2,000 - $1,200).

She deposits 40% of $800 into a savings account.

= 40% x $800

= $320

So, she is saving $320 out of the remaining $800 she has per month.

4. Marissa annually save?

She saves $3,840 annually ($320 x 12 months) into savings account.

However, she has a disposable income of $480 per month, equivalent to $5,760 per annum.

See related question here https://brainly.com/question/18917500

Solve: –36 x 72 + 64 x (–72)
And mention the property
Closure/Commentative/Associative
Explain your answer and gain 20 points.

Answers

Step-by-step explanation:

[tex] - 36 \times 72 + 64 \times ( - 72)[/tex]

first carry out the multiplication operation:

[tex] = ( - 36 \times 72) + (64 \times - 72) \\ = - 2592 + ( - 4608)[/tex]

then addition operation:

[tex] = - 7200[/tex]

Answer:

[tex] - 36 \times 72 + 64 \times ( - 72) \\ - 2592 + ( - 4608) \\( - 7200)[/tex]

Is 91.8 a rational or a non-rational number​

Answers

Answer:

Yes. It is a rational number.

|1|, |-4|, |-3|, |2|

Answers

Answer:

|1| = 1

|-4| = 4

|-3| = 3

|2| = 2

Step-by-step explanation:

The absolute value function is defined by

[tex]|x|=\begin{cases}x,&x\ge0\\-x,&x<0\end{cases}[/tex]

Since 1>0, we have |1| = 1.

Since -4<0, we have |-4| = -(-4) = 4.

Since -3<0, we have |-3| = -(-3) = 3.

Since 2>0, we have |2| = 2.

If 45.78 ÷ 1.7 is written in long division form as long division set up where 17 is on the outside of the division symbol and 45780 is on the inside so that the divisor is written as a whole number, where should the decimal point be placed in the dividend?

Answers

Answer:

The decimal point should be placed after the 0 in 45780.

Step-by-step explanation:

help me now where are you all helppppp​

Answers

Q7

7/25

(Decimal: 0.28)

Step-by-step explanation:

Here's the little secret you can use to instantly transform any fraction to a decimal: Simply divide the numerator by the denominator:

= 7/25

= 7 ÷ 25

= 0.28

Can a polyhedron have 10 faces, 14 vertices and 20 edges

Answers

Answer:

nope

Step-by-step explanation:

Since the Euler's formula does not hold true for the given number of faces, edges and vertices, therefore, there does not exist any polyhedron with 10 faces, 20 edges and 15 vertices.

A man bought a car for Naira 120000 and later sold it at a loss of 6%calculate the selling price​

Answers

Answer:

7200

Step-by-step explanation:

Formula: Loss = C.P. – S.P. Remember: Loss or Profit is always computed on the cost price.

6% of 120000=7200

hellp mee plzz in these all with proper formula​

Answers

Step-by-step explanation:

the answer is in picture

What is the value of f(0)? -2 -1 0 1most segment goes from (2, negative 4) to (3, negative 4). What is the value of f(0)? -2 -1 0 1

Answers

Answer:

[tex]f(0)=-2[/tex]

Explanation:

When looking at the value of [tex]f[/tex] at a particular input, the value is defined by the height of a solid dot, given a solid dot is present, and the value is not defined by hollow dots.

When looking at the input 0, there is a hollow dot at a height of -1 and a solid dot at a height of -2. Therefore [tex]f(0)=-2[/tex]

Answer:

2

Step-by-step explanation:

what is into relation with suitable example​

Answers

Answer:

the relation between the x-values and y-values of ordered pairs

Which of the following fractions is in lowest form

Answers

fraction is in lowest term is no(b)

6/19 is the only one that can’t be simplified to the standard form.

To simplify divide each polynomial by a number (you may need to factor the numerator and or denominator to find the common term)

1. 48x + 32y/32
2. 9a-15b/12
3. 6b+24c/18
4. 25a+5b+15c/10

show each step and break down

Answers

Answer:

The polynomial is simplified to [tex]\frac{3x+2y}{2}[/tex],[tex]\frac{3a-5b}{4}[/tex],[tex]\frac{b+4 c}{3}[/tex],[tex]\frac{5a+b+3c}{2}[/tex]

Step-by-step explanation:

Step 1 of 4

[tex]\frac{48x+32y}{32}[/tex]

[tex]=\frac{16\left(3x+2y\right)}{32}[/tex]

[tex]=\frac{16\left(3x+2y\right)}{16\cdot \:2}[/tex]

[tex]=\frac{3x+2y}{2}[/tex]

Step 2 of 4

[tex]\frac{9a-15b}{12}[/tex]

[tex]=\frac{3\left(3a-5b\right)}{12}[/tex]

[tex]=\frac{3\left(3a-5b\right)}{3\cdot \:4}[/tex]

[tex]=\frac{3a-5b}{4}[/tex]

Step 3 of 4

[tex]\frac{6b+24c}{18}[/tex]

[tex]=\frac{6\left(b+4c\right)}{18}[/tex]

[tex]=\frac{6\left(b+4c\right)}{6\cdot \:3}[/tex]

[tex]=\frac{b+4c}{3}[/tex]

Step 4 of 4

[tex]\frac{25a+5b+15c}{10}[/tex]

[tex]=\frac{5\left(5a+b+3c\right)}{10}[/tex]

[tex]=\frac{5\left(5a+b+3c\right)}{5\cdot \:2}[/tex]

[tex]=\frac{5a+b+3c}{2}[/tex]

Learn more about polynomial, refer :

https://brainly.com/question/13769924

F(x)=-2x^2-3
find f(2)

Answers

Step-by-step explanation:

f(x)=-2x²-3

By replacing x with 2, we get

f(2)=-2×2²-3

=-2×4-3

=-8-3

=-11

Solve the equation.
ta (a + 8) = fr3-a
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution is
(Type an integer or a simplified fraction.)
B. The solution is all real numbers.
O C. There is no solution.

(Answer quickly)

Answers

a
=
1
2
f
r

4 I believe is the answer

After subtracting 20% of a number from a number we get 12975.what was the number?​

Answers

Answer:

Step-by-step explanation:

d

Find the area of a circle with a diameter of 10 feet using pi=3.14

Answers

Answer:

78.5 ft^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2 where r is the radius

r = d/2 where d is the diameter

r = 10/2 = 5

A = 3.14 ( 5)^2

A = 78.5 ft^2

If f(x) = x and g(x) = 2, what is (fºg)(x)?

Answers

Step-by-step explanation:

(fog)(x) = f[g(x)]

f(g(x))

f(x-2)

since f(x) = 1 / x

answer: 1/x-2

1/x-2 looks like 1/x but the asymptotes(dips in the graphs) will be at x = 2 since is undefined

Other Questions
What effect does fermented sugar have in beer brewing 2.6 a simplified fraction and the 6 is a repeating decimal Please help ASAP!!!!! needed 2 paragraph own thoughtwhy is Communication important Multiple Choice Questions 1. Which of the following statement best describes an atom? A. Protons and electrons are grouped together in a random pattern. B. Protons and electrons are grouped together in an alternating pattern C. A core of protons and neutrons surrounded by electrons. D. A core of electrons and neutrons surrounded by protons. 2. Table 5.10 shows the atomic mass of four stable isotopes of an element X. 119 Evaluate the expression.5 x -3 + 2 how did the civil war change the economy and society in the north and south? Why do you think the mass of the carbon atom shown is 12 atomic mass units (amu)? how we can separate sand and water with the help of evaporation. What does gene doping mean Given that g(x) = x, find each of the following.a) g(1)b) g(-2)c) g(-x)d) g(3y)e) g(1 + h) use what you know about the structure of starch molecules to explain your result A student conducts an experiment to determine how the amount of water given to a plant affects its growth.What is the dependent variable for this experiment?a. the amount of waterb. the height of the plantC. the amount of sunlightd. the amount of soil When is the best time to start revising a piece of writing?Revising should begin right after you finish the draft.Revising can be done at the same time as you draft your writing.After you finish each paragraph, revise it right away.Begin revising after not reading your draft for a day or two. 50 yards of fabric for 18 flags Unit rate if you have a density of 2.5 g/mL and a mass of 5 g, what is the volume What term could be used todisplay how consumers relateto other organisms?A. independenceB. interdependenceC. codominance Question is in the picture Find the unit rate.18 donuts in 3 boxes=donuts per box Which of the following is the smallest number?O 7.8* 102O 2.36 * 10-3O 1.94 * 10504.19* 109