What is the equation of the line through (4, 2) and (0, -2)?

Answers

Answer 1

Answer:

y=x-2

Step-by-step explanation:

4-0=4 = (change in y)

2--2=4 = (change in x)

change in y/change in x=4/4=1=x

gradient = x

y=x+c

Subtitute any coordinate

2=4+c

c=-2

so

y=x-2

Answer 2

Answer:

y=x-2

Step-by-step explanation:

Slope Intercept Form

y=x-2

Find Slope using equation below

Chose points I chose 2 as y2 and -2 as y2

4 is x2 and 0 as x1

Slope is 1

now choose a point and plug it in for x and y and plug slope in Equation

I chose (4,2)

2=4+b

subtract 4 by both sides

-2=b

Slope Form

So... y=x-2 is the answer


Related Questions

Can I get the answer for 3 4 5 6

Answers

3) x=190, <BOC=85

4) x=177, <TOU=31

5) x=61, <LOM=110

6) x=55, <DOE=117

A dancing competition has 13 competitors, of whom four are American, two are Mexicans, four are Russians and three are Italians. If the contest result lists only the nationality of the competitors, how many outcomes are possible?

Answers

Answer:

900,900 outcomes are possible.

Step-by-step explanation:

Arrangements with repetition:

The number of possible arrangements of n elements, considered that they are divided in classes of [tex]n_1,n_2,...,n_n[/tex] elements, is given by:

[tex]A = \frac{n!}{n_1!n_2!...n_n!}[/tex]

A dancing competition has 13 competitors

This means that [tex]n = 13[/tex]

Four are American, two are Mexicans, four are Russians and three are Italians.

This means that [tex]n_1 = 4, n_2 = 2, n_3 = 4, n_4 = 3[/tex]

How many outcomes are possible?

[tex]A = \frac{13!}{4!2!4!3!} = 900900[/tex]

900,900 outcomes are possible.

What is the common ratio for the geometric sequence below, written as a fraction?

768, 480, 300, 187.5, …


/

Answers

Answer:

5/8

Step-by-step explanation:

Find the common ratio by dividing one of the numbers in the sequence by the previous one:

480/768

= 0.625

Convert this to a fraction:

0.625

= 5/8

So, the common ratio is 5/8

Select the statement that represents all the solutions of the inequality. d < 7 all rational numbers equal to 7 all integers less than 7 all rational numbers greater than 7 all rational numbers less than 7


the answer is :
all rational numbers less than 7
have a good day <3

Answers

Aspongebob at the bottom of the sea

Step-by-step explanation:

In a plain, robust, conversational style, the author known as “Elena Ferrante” has captivated readers worldwide with her chronicle of a complicated friendship between two women.

Answer:

Step-by-step explanation:

anything  1-6

factorise m2+10m-24 please step by step​

Answers

m^2+10m-24

=m^2+12m-2m-24

=m (m+12)-2 (m+12)

=(m-2)(m+12)

Answer:(m-2)(m+12)

if wrong correct me pls

I hope it helps mate

HAVE A GREAT DAY

#Liliflim

what is the value of the 5 in the number 624.95​

Answers

Answer:

5 Hundredths

Step-by-step explanation:

The place value of 5 in 624.95 in 5 Hundredths or 0.05

5 hundredths is the value of 5 for ur question

A line through the point (2,5) forms a right triangle with the x-axis
and y-axis in the 1st quadrant. Determine the equation of the line that
will minimize the area of this triangle.

Answers

9514 1404 393

Answer:

  5x +2y = 20

Step-by-step explanation:

Suppose 'a' is the x-intercept of the line.

Then the slope is given by the slope formula ...

  m = (y2 -y1)/(x2 -x1)

  m = (0 -5)/(a -2)

And the y-intercept is ...

  b = y -mx = 5 -(-5/(a-2))(2) = 5 +10/(a -2)

The area of the triangle is half the product of 'a' and 'b', so is ...

  A = 1/2ab

  A = 1/2(a)(5 +10/(a -2)) = 2.5a +5a/(a-2)

The area is minimized when the derivative of this is zero.

  A' = 2.5 -10/(a -2)^2 = 0

Solving for 'a' gives ...

  (a -2)^2 = 10/2.5 = 4

  a = 2 + 2 = 4 . . . . . . . . . . . x-intercept

  b = 5 +10/(4 -2) = 10 . . . . . y-intercept

  m = -5/(4 -2) = -5/2 . . . . . . slope

An equation of the line is ...

  y = -5/2x +10 . . . . . slope-intercept form

  5x +2y = 20 . . . . . standard form

__

You may have noticed that the x-and y-intercepts are double the x- and y-values of the given point. That is, the given point is the midpoint of the hypotenuse of the triangle with minimum area. That is the general solution of this sort of problem.

Select all expressions equivalent to “-6z+(-5.5)+3.5z+5y-2.5.
*answer choices*
A.-8+5y+2.5z
B.-2.5z+5y-8
C.-8+5y+(2.5z)
D.2.5y+(-2.5z)-5.5
E.5y-8-2.5z

Answers

Answer:

B.) -2.5 z + 5 y - 8

Step-by-step explanation:

- 6 z + ( - 5.5 ) + 3.5 z + 5 y - 2.5

combine like terms

- 6 z + 3.5 z + 5 y -5.5 - 2.5

- 2.5 z + 5 y - 8

Which algebraic expression is a polynomial?

Answers

Answer:

the last one is a polynomial

Step-by-step explanation:

The cost of 120 PSP is Dh 15000. Find the cost of one PSP

Answers

Answer:

125

Step-by-step explanation:

120 units cost 15000.

so, 1 unit is then the 120th part of the total costs.

price of 1 unit = 15000/120 = 1500/12 = 125

Can someone please help me? thank you

Answers

Answer:

c = (ef-ab)/d

Step-by-step explanation:

ab+cd = ef

Subtract ab from each side

ab+cd -ab = ef-ab

cd = ef-ab

Divide by d

cd /d =(ef-ab)/d

c = (ef-ab)/d

let f(x)=x-1 and g(x)=x^2+1
f(g)=___

Answers

Answer:f(g)=2

Step-by-step explanation:

Ella stacks two boards under a table to make it level. One board is į inch thick. The
other board is inch thick. Which equation most closely estimates the thickness of
5
12
the two boards?

Answers

Step-by-step explanation:

the problem description is incomplete or wrongly copied.

we don't know the thickness of the boards, and we cannot understand what we need to calculate, and what the answer options are.

Use this table to find how much tax you need to pay on a taxable income of 40,000

Answers

Answer:

$14,386.25

Step-by-step explanation:

choose the appropriate postulate of the following pair lf triangles are congruent.

Answers

it would be ASA since we know 2 angles are congruent and we can use the reflexive property on the side in between the 2 angles

Answer:

ASA

Step-by-step explanation:

they share the side in the middle (reflexive property) and have two congruent angles

For breakfast one morning, mum made 10 rotis. Rahul ate 1 1/2 rotis, Priya ate 2
rotis and Aman ate 3 1/4 rotis.
1. How many rotis did the children eat in total?
2. How many rotis were left?

Answers

the children ate 6 3/4 rotis
3 1/4 rotis were left

check: 6 3/4+ 3 1/4 = 10

btw i love rotis!!

A bookshelf holds 5 sports magazines and 5 architecture magazines.

When 3 magazines are taken from the shelf at random, without replacement, what is the probability that all 3 are architecture magazines?

3/25
1/125
1/12
1/8

Answers

Answer:

1/12

Step-by-step explanation:

The first time the person picks a magazine, they have a 5/10 chance of drawing an architecture magazine.

The second time, they have a 4/9 chance because they have already removed one magazine from the bookshelf

The third time, they have a 3/8 chance because they have already removed 2 magazines.

Multiply all of the probabilities together

5/10 * 4/9 * 3/8 = 60/720

Simplify:

60/60 / 720/60 = 1 / 12

Hope this helps!

Help me with this math

Answers

Answer:

5196

Step-by-step explanation:

So it's 5040+(-156)

We have to find the absolute value

|-156|=156

5040+156=5196

the average of three numbers is 25. two of the numbers are 18 and 40. what is the third number

Answers

Step-by-step explanation:

the third number is 17 thank you very much please mark me the brainliest you can calculate the answer by supposing the number as one of the variables I supposed it as X so similarly similarly making it as an equation the equation will be 25 is equal to 18 + 40 + X by 3 similarly when you solve the equation you get the answer thank you please mark me the brainliest thank you

The third number is 17

Average

The average of numbers is the mean value of the numbers

The given parameters are:

Average = 25Numbers = 18 and 40

Assume the third number is x

So, the average is calculated as:

[tex]Average = \frac{\sum x}{3}[/tex]

This gives

[tex]\frac{18 + 40 + x}{3} = 25[/tex]

[tex]\frac{58 + x}{3} = 25[/tex]

Multiply both sides by 3

[tex]58 + x = 75[/tex]

Subtract 58 from both sides

[tex]x = 17[/tex]

Hence, the third number is 17

Read more about average at:

https://brainly.com/question/20118982

Question 3 (1 point)
3
A sample proportion is calculated from a sample size of 3. How large of a sample
would we need in order to decrease the standard error by a factor of 8?

1) 93
2) 51
3) 24
4) 192
5) 8

Answers

3) 24 because u multiply 3 by 8

A cylinder has a base radius of 6 feet and a height of 12 feet.What is it's volume in cubic feet, to the nearest tenths place

Answers

Answer:

[tex]volume = \pi {r}^{2} h \\ = 3.14 \times {6}^{2} \times 12 \\ = 1357.2 \: {ft}^{3} [/tex]

can someone help asap

Answers

Answer:

C

Step-by-step explanation:

8×26×6=1200 cubic centimeters

hence, C is the closest

Order of operation problem who two operations inside parentheses and two outside ( using all add, subtract, multiply and divide). I need examples

Answers

Here is one:                                                         PEMDAS

12- ( 6 + 3) - 19 x 1 divided by 1

I hope this helps

Cho tam giác ABC vuông cân tại A
Cạnh đáy BC 5cm, AB 7cm. Tính diện tích

Answers

Answer:

7 × 5 :2 it is the answer ,i love you

Please help me I need help no links please

Answers

I think it may be B

4x+9=41 x is equal to

Answers

Answer and Step-by-step explanation:

Simply solve for x (very easy to do).

4x + 9 = 41

Subtract 9 from both sides of the equation.

4x = 32

Divide both sides of the equation by 4.

x = 8

x is equal to 8.

#teamtrees #PAW (Plant And Water)

NASCAR A driver receives -25 points for each
rule violation. What integer represents the
change in points after 4 rule violations?

Answers

Answer:

after 4 rule violations he will recieve -100 points. so if total points is 100, then the driver gets 0 points

If the function f(2x + 3) = 3x- 8, find f -¹(x)​

Answers

Answer:

(2x + 35)/3

Step-by-step explanation:

f(2x + 3) = 3x - 8

= 3(2x)/2 - 8

= 3(2x + 3 - 3)/2 - 8

= 3(2x + 3)/2 - 3(3)/2 - 8

= ( 3(2x + 3) - 25)/2

Therefore, f(x) = (3x - 25)/2

Let f(x) = (3x - 25)/2 = y

Therefore,

x = (2y + 35)/3 = f(y)

Hence,

f-¹(x) = f(y) = (2y + 35)/3

Just by merely replacing y,

f-¹(x) = (2x + 35)/3

Answer:

Step-by-step explanation:

[tex]let~g(x)=2x+3,~ then~f\circ g(x)=f(g(x)=3x-8\\\\[/tex]

lets assume that f(x) is a line, so f(x)=mx+b

[tex]f(g(x))=m(2x+3)+b=2mx+3m+b=3x-8[/tex]

the follow equation system results:

[tex]2m=3 \\ 3m+b=-8[/tex]

[tex]m=\frac{3}{2}\\\\b=-\frac{25}{2}[/tex]

finally:

[tex]y=f(x)=\frac{3}{2}x-\frac{25}{2}[/tex]

now is time to calculate the inverse function:

[tex]y=\frac{3}{2}x-\frac{25}{2}=>2y+25=3x=>x=\frac{2}{3}y+\frac{25}{3}[/tex]

so

[tex]f^{-1}(x)=\frac{2}{3}x+\frac{25}{3}[/tex]

Express the given set in roster form.

Answers

Answer:

E= { 13 , 14 , 15 , .........94 }

Step-by-step explanation:

hope it may help u

please mark as brainlist

(๑˙❥˙๑)

When individuals in a sample of 150 were asked whether or not they supported capital punishment, the following information was obtained. Do you support capital punishment? Yes No No Opinion Number of individuals 40 60 50 We are interested in determining whether or not the opinions of the individuals (as to Yes, No, and No Opinion) are uniformly distributed. 12. Refer to Exhibit 12-1. The calculated value for the test statistic equals a. 2 b. -2 c. 20 d. 4 Answer: 13 Refer to Exhibit 12-1. The number of degrees of freedom associated with this problem is a. 150 b. 149 c. 2 d. 3 Answer: Refer to Exhibit 12-1. The p-value is a. larger than 0.1 b. less than 0.1 c. less than 0.05 d. larger than 0.9 Answer: Refer to Exhibit 12-1. The conclusion of the test (at 95% confidence) is that the
a. distribution is uniform
b. distribution is not uniform
c. test is inconclusive
d. None of these alternatives is correct.

Answers

Answer:

hvbiknbtUKvfnvghj

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bhj

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