Find the equation of a line that passes through the points (4, 3) and (8,1)

Answers

Answer 1

Answer:  y= -1/2x + 5  

Step-by-step explanation:

We will write the equation in slope-intercept form meaning that we will need to find the slope and the y-intercept.

The slope-intercept for is y=mx +b   where m is the slope and b is the y-intercept.

Find the slope by find the difference in the y coordinates and divide it by the difference in the x-coordinates.

The y-coordinates are 3 and 1  

The x coordinates are 4 and 8.

3-1 = 2  

4-8 = -4  

2/-4=   -1/2  

The slope is -1/2  

We will now use one of the points and the slope to find the y-intercept by plotting their values into the formula .

3= -1/2(4) + b

3= -2 +  b

+2  +2

b= 5

The equation will be y= -1/2x + 5


Related Questions

Fill in the missing statement and reason of the proof below.

Given: \overline{AC} \perp \overline{BD}
AC

BD
and \angle ABD \cong \angle CBD.∠ABD≅∠CBD.

Prove: \triangle ABC△ABC is an isosceles triangle.

Answers

Answer:

b

Step-by-step explanation:

it’s b on edge

Which expression is equivalent to 5(4x + 3)

Answers

Hey there!


5(4x + 3)


DISTRIBUTE 5 WITHIN the PARENTHESES

= 5(4x) + 5(3)


WEIRD WAY TO SIMPLIFYING MULTIPLICATION

= 5x + 5x + 5x + 5x + 5 + 5 + 5

= 10x + 10x + 10 + 5

= 20x + 15


Therefore, your answer is: 20x + 15


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

A study investigated about 3000 meals ordered from Chipotle restaurants using the online site Grubhub. Researchers calculated the sodium content (in milligrams) for each order based on Chipotle's published nutrition information. The distribution of sodium content is approximately Normal with mean 2000 mg and standard deviation 500 mg. About what percent of the meals ordered exceeded the recommended daily allowance of 2400 mg of sodium?

Answers

Answer:

21.186%

Step-by-step explanation:

z = (x-μ)/σ,

where

x is the raw score = 2400mg

μ is the population mean = 2000mg

σ is the population standard deviation = 500mg

z = 2400 - 2000/500

z = 0.8

Probability value from Z-Table:

P(x<2400) = 0.78814

P(x>2400) = 1 - P(x<2400) = 0.21186

Converting to percentage:

0.21186 × 100

= 21.186%

Therefore, the percent of the meals

ordered that exceeded the recommended daily allowance of 2400 mg of sodium is 21.186%

21.186% of the meals ordered exceeded the recommended daily allowance of 2400 mg of sodium.

It is known that 3000 meals ordered from Chipotle restaurants using the online site Grubhub.

And the distribution of sodium content is approximately Normal with mean 2000mg and standard deviation 500 mg.

We know,

[tex]z = \frac{(x- \mu)}{\(\sigma\)}[/tex],

And daily allowance of 2400 mg of sodium

x is the raw score = 2400mg

μ is the population mean = 2000mg

σ is the population standard deviation = 500mg

[tex]z = \frac{2400 - 2000}{500}[/tex]

z = 0.8

Probability value from Z-Table:

[tex]P(x<2400) = 0.78814\\P(x>2400) = 1 - P(x<2400) \\= 0.21186[/tex]

Converting to percentage:

[tex]= 0.21186 (100)\\= 21.186%[/tex]

Therefore, the percent of the meals  ordered that exceeded the recommended daily allowance of 2400 mg of sodium is 21.186%.

Learn more:https://brainly.com/question/14601433

A square and an equilateral triangle have the same perimeter. Each side of the triangle is 3 inches longer than each side of the square. What is the perimeter of the square?
ASAP I ONLY HAVE 15 MINUTES

Answers

Answer:

36 inches

Step-by-step explanation:

Q = length of the sqaure

T = length of the triangle

Equation 1:  4Q = 3T  

Equation 2:    T = 3+Q;

Then, subsitute T=3+Q into equation 1:

4Q =  3(3+Q)

4Q = 9 + 3Q

Q = 9

-----

Each side of the square is 9 inches, so the perimeter will be 9X4 = 36inches

please help 8th grade math giving brainlist

Answers

Answer:

Hope this helps! Try using the desmos graphing calculator. It is good for those problems.

Step-by-step explanation:


[tex]24 + 42 - 5[/tex]
whats the answer.​

Answers

Answer:

61

Step-by-step explanation:

dumb questions

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61 that is the answer

Please help I don’t understand this problem!

Answers

the second one √72= 8.48 and the square root of √83=9.11 pi^2 = 9.86

when you put this in order by the decimal you get

8.48, 8.7, 9.11, 9.25, 9.86 which is really √72, 8.7, √83, 9.25, pi^2

Sameera predicted that she would sell 38 blankets, but she actually sold 28 blankets. Which expression would find the percent error? Use the table below to help answer the question.
Percent Error

Item
Approximate value
Exact value
Error
Absolute error
Ratio
Percent error
Blankets
38
28
10
10


StartFraction 10 over 38 EndFraction (100)
StartFraction 10 over 28 EndFraction
StartFraction 10 over 28 EndFraction (100)
StartFraction 10 over 38 EndFraction

Answers

Answer:

i think it would be percent error  

she was off by 35.7143%

a

Step-by-step explanation:

hope this helps if im correct please can i have brainly

1
1
15. Ratan bought 2 - m of iron wire and 3.
4
3
of copper wire.
a) What is the total length of wires he
bought?
b) How much more copper wire than
iron wire did he buy?

Answers

can u send me the question once more correctly so that I can help u

My username is Ayaan707.

^_^

Answer:

Total length of wire bought = 2 1/4 + 3 1/3

=9/4 + 10/3

=9*3/4*3 + 10*4/3*4 (LCM)

= 27/12 + 40/12

=67/12= 5 7/12metre is the answer

Ayaan707 avatar

difference btw copper and iron wire = 40/12 - 27/12

=13/12= 1 1/12 metre of copper wire

Step-by-step explanation:

HOPE IT HELPS , JENNY

please help me fast !!!!!

Answers

Answer:

2nd option

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

121.8° is an exterior angle of the lower triangle , then

∠ 2 + 17.3° = 121.8° ( subtract 17.3° from both sides )

∠ 2 = 104.5°

------------------------------------

∠ 2 is an exterior angle of the upper triangle , then

∠ 1 + 37.1° = 104.5° ( subtract 37.1° from both sides )

∠ 1 = 67.4°

Simplify (27x^3-64/3x-4)

Answers

Answer:

9x² + 12x + 16

Step-by-step explanation:

(27x³ - 64) / (3x - 4)

= (3x - 4)(9x² + 12x + 16) / (3x - 4)

= 9x² + 12x + 16

9x^2 + 12x + 16

Have a nice day :)

What is the formula for area?

A. area = width + length
B. area = length x width
C. area = width ÷ length
D. area = length x height

I need help, i will give points.

Answers

Assuming that the area is the area of a rectangle or square…
Then it is B
Area = length x width

Help me solve this problem please

Answers

Answer:

3 is not a Zero of the Function

Answer:

C

Step-by-step explanation:

Um monumento na cidade de São Paulo, foi construído seguindo a forma de um tronco de pirâmide de bases quadradas. Seu volume é de 21000 m³ e sua altura é de 30 m. Sabendo que sua base maior tem aresta medindo 40 m, calcule a medida da aresta da sua base menor.

Answers

Responda:

15cm

Explicação passo a passo:

Volume de uma pirâmide = Área da Base × Altura / 3

Dado

Volume = 2100m³

Altura da pirâmide = 30m

Vamos obter a área base primeiro, substituindo o valor dado na fórmula.

2100 = B (30) / 3

2100 = 30B / 3

2100 = 10B

10B = 2100

Divida os dois lados por 10

10B / 10 = 2100/10

B = 210cm²

Como a base é um quadrado

área da base quadrada = 210cm²

L² = 210

L = √210

L = 14,49cm

C ≈ 15cm

Portanto, a medida da borda de sua menor base é de aproximadamente 15 cm

find the missing side length ( find ?)

Answers

Answer: 35

Step-by-step explanation:

Factoring
16x^5+20x^4-12x^3+24x^2

Answers

Hope this helps This is easy

$3,900 Is deposited into a bank paying 13.5% simple interest per year. How much interest will have been paid after 11 years? ranswer​

Answers

Answer:

$5791.5

Step-by-step explanation:

13.5% = $526.5 each year

Can sombody please help me solve this: x + 14 = 7x + 32 – 3x

Answers

x+14 = 7x+32-3x

x+14 = 4x+32

-x          -x

14 = 3x+32

-32       -32

-18 = 3x

/3        /3

-6 = x

x = -6

Answer:

x=-6

Step-by-step explanation:

x+14=7x+32-3x

x+14=7x-3x+32 group like terms

x+14=4x+32 add similar element

x+14-14=4x+32-14 subtract 14 from both sides

x=4x+18 simplify

x-4x=4x+18-4x subtract 4 from both sides

-3x=18

then divide both sides by 3

and then simplify

then u get x=-6

Which statement describes the solution to this system of equations?

2x−4y=8
8x−16y=32
Select the statement that correctly describes the solution to this system of linear equations.
A
There is no solution.

B
There are infinitely many solutions.

C
There is exactly one solution at (8, –4).

D
There is exactly one solution at (2, –16).

Answers

B there is inf. many solutions:

2x-4y=8 is y = 1/2x - 2
8x-16y=32 is y = 1/2x - 2

PLEASE HELPPPPPPPPPPPPP

Answers

Answer:

sure.. 16pi

Step-by-step explanation:

use the equation

[tex]a = \pi \: {r}^{2} [/tex]

[tex]radius = diameter \div 2[/tex]

r = 8÷2 = 4 ft

[tex]a = \pi \times {4 }^{2} [/tex]

[tex]a = 16 \: \pi[/tex]

What is the value of X in the equation 5X +3 is equal to 4X

Answers

Answer:

Step by step equation:

5x + 3 = 4x

5x = 4x - 3

5x - 4x = -3

x = -3

Hope it helped,

Happy homework/ study/ exam!

Answer:

x= -3

Step-by-step explanation:

When solving these equations you must leave only one variable.

1. 5x+3=4x subtract variables

2. 3= -1x make x positive

3. x= -3

helpp pleasee ................................

Answers

Answer: Choice C) [tex]3.9098 \times 10^8[/tex]

=========================================

Work Shown:

[tex]4.8388 \times 10^8 - 9.29 \times 10^7\\\\4.8388 \times 10^8 - \left(0.929\times10^{1}\right) \times 10^7\\\\4.8388 \times 10^8 - 0.929\times10^{1+7}\\\\4.8388 \times 10^8 - 0.929\times10^8\\\\\left(4.8388-0.929\right) \times 10^8\\\\3.9098 \times 10^8\\\\[/tex]

-----------------

Side notes:

[tex]4.8388 \times 10^8 = 483,880,000[/tex] = almost close to 484 million[tex]9.29 \times 10^7 = 92,900,000[/tex] = close to 93 million[tex]3.9098 \times 10^8 = 390,980,000[/tex] = just a bit under 391 million

Daniel wants to buy Nike sneakers that cost $90.00 . he saved 25% of the money needed to purchase it . How much money does Daniel have ? ​

Answers

90-22.5=67.5

He has $67.5

find the slope of the line that passes through the points (1, -4) and (3, -1)

A. 5/4
B. 2/3
C. -3/2
D. 4/5
E. 3/2

Answers

Answer:

e

Step-by-step explanation:

1,-4

3,-1

-1-(-4) = 3

3-1 is 2

slope is 3/2

The answer is E)))

Bc you take (y2-y1) and (x2-x1) and it will give you (3) for your Y and (2) for your X

20 points
Select the correct answer.
Solve the following equation by completing the square.



A.

B.

C.

D.

Answers

Answer:

x = 2 + sqrt(2) or x = 2 - sqrt(2) thus B. is your answer

Step-by-step explanation:

Solve for x over the real numbers:

4 x^2 - 16 x + 8 = 0

Hint: | Write the quadratic equation in standard form.

Divide both sides by 4:

x^2 - 4 x + 2 = 0

Hint: | Solve the quadratic equation by completing the square.

Subtract 2 from both sides:

x^2 - 4 x = -2

Hint: | Take one half of the coefficient of x and square it, then add it to both sides.

Add 4 to both sides:

x^2 - 4 x + 4 = 2

Hint: | Factor the left-hand side.

Write the left-hand side as a square:

(x - 2)^2 = 2

Hint: | Eliminate the exponent on the left-hand side.

Take the square root of both sides:

x - 2 = sqrt(2) or x - 2 = -sqrt(2)

Hint: | Look at the first equation: Solve for x.

Add 2 to both sides:

x = 2 + sqrt(2) or x - 2 = -sqrt(2)

Hint: | Look at the second equation: Solve for x.

Add 2 to both sides:

Answer: x = 2 + sqrt(2) or x = 2 - sqrt(2)

Answer:

B

Step-by-step explanation:

pls solve both questions for brainliest :)​

Answers

Answer:

b n=5

c. n=4

Step-by-step explanation:

Solve for y.
2y2- 15y + 13 = 0
Write each solution as an integer, proper fraction, or improper fraction in simplest form. If
there are multiple solutions, separate them with commas.
Submit

Answers

Step-by-step explanation:

use sum and product method

Please help..... TvT

Answers

Answer:

1/3 -- 33.3%

37/100 -- 0.37

1/4 -- 25%

19/50 -- 30%

3/20 -- 15%

Step-by-step explanation:

Describe how matter exists in three common states - solids, liquids and gases. Describe each by a
set of distinguishing properties.

Answers

Matter is anything that takes up space and has mass. Liquid can evaporate but it doesn’t disappear. It’s particals are still there it has just turned into a gas, a solid is pretty self explanatory. It visibly takes up space and has mass

What is the equation that can be used to find a percent of a number?

Answers

Answer:

Percent · Base = Amount.

Step-by-step explanation:

Use n for the unknown (percent).

Divide to undo the multiplication of n times 72.

Move the decimal point two places to the right to write the decimal as a percent.

Hope this helps!(:

Answer:

part = percent • whole

Step-by-step explanation:

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