Write all three forms (slope intercept, point slope and standard) of a line containing the points (4, -11/3) and (1/2, -29/6).

Answers

Answer 1

Answer:

See explanations below

Step-by-step explanation:

Slope intercept form of the equation is expressed as y = mx+b

m is the slope

b is the intercept

Given the coordinates (4, -11/3) and (1/2, -29/6)

Slope m = -29/6-(-11/3)÷(1/2-4)

m = (-29/6+11/3)÷(-7/2)

m = -29+22/6÷(-7/2)

m = -7/6÷(-7/2)

m = -7/6×2/-7

m = 2/6

m = 1/3

Get the intercept b

Substitute m= 1/3 and (4, -11/3) into y = MX+b

-11/3 = 1/3(4)+b

-11/3 = 4/3+b

b= -11/3-4/3

b= -15/3

b =-5

Get the required equation

y = 1/3 x -5 (slope-intercept form)

Point slope form of the equation is expressed as y-y0 = m(x-x0)

Substituting m = 1/3 and the point (4,-11/3)

x0 = 4

y0 = -11/3

y - (-11/3) = 1/3(x-4)

y+11/3 = 1/3(x-4) (point-slope form)

For standard format

Recall that y = 1/3x - 5

Multiply through by 3

3y = 1/3x(3)-5(3)

3y = x-15

3y-x = -15(standard form)


Related Questions

A linear function contains the following points. x: –8,1 y: 0,3 What are the slope and y-intercept of this function?

Answers

Answer:

B

Step-by-step explanation:

X-coordinate of y intercept of always 0.

Gradient=2/8=1/4

Therefore answer is B

Can somebody help me? -2-7p<26

Answers

Answer: p>−4

Step-by-step explanation:

Let's solve your inequality step-by-step.

−2−7p<26

Step 1: Simplify both sides of the inequality.

−7p−2<26

Step 2: Add 2 to both sides.

−7p−2+2<26+2

−7p<28

Step 3: Divide both sides by -7.

−7p

−7

<

28

−7

p>−4

If the volume of the box is 123 in3, what is the height of the box?

Answers

Answer:

cube root of 123 (approx 4.97)

Step-by-step explanation:

volume of a cube is LxWxH, and since it is a cube, all measurements are equal

The height of the box is 4.973 inch whose volume is 123 cubic inches.

It is given that the volume of a box is 123 cubic inches.

It is required to find the height of the box.

What is volume?

It is defined as a three-dimensional space enclosed by an object or thing.

We have:

Volume of a box = 123 cubic inches

Here we are assuming the box is a shape of cube.

We know that the volume of a cube:

[tex]\rm V= a^3[/tex]   where a is the side of cube

In the cube all the dimensions are same.

Now,

[tex]\rm 123 =a^3 \ \ or \\\\ a = \sqrt[3]{123}[/tex](∵ V = 123)

a = 4.973 inch

Since in the cube all the dimensions are same, therefore

The height of the cube = 4.973 in

Thus, the height of the box is 4.973 inch whose volume is 123 cubic inches.

Learn more about the volume here:

https://brainly.com/question/16788902

In a right triangle, given are the
lengths of two sides. What should be
used to solve for the length of the
third side?
*​

Answers

Answer:

bro you can find 3rd side by using pythogras thegrom

Step-by-step explanation:

1[tex]h ^{2} = p ^{2} + {p}^{2} [/tex]

helppppppppppppppppppp

Answers

.......whats the question?

PLEAAASSSEE HELP!! ITS DUE IN 1 HOUR

Answers

Answer:

-4 and +4

Step-by-step explanation:

(- - - -) = -4

(+ + + +) = 4 or +4

-4 and +4 hope this helps

Rodrigo's math certificate is 20 centimeters tall and 27 centimeters wide. Rodrigo wants to put the certificate in a fancy frame that costs $1.57 per centimeter. How much will it cost to frame Rodrigo's math certificate?

Answers

Answer:

the cost that used to frame the math certificate is $847.80

Step-by-step explanation:

The computation of the cost that used to frame the math certificate is shown below:

= 27 wide × 20 tall × $1.57 per centimeter

= $847.80

Hence, the cost that used to frame the math certificate is $847.80

Which statements are true for irrational numbers written in decimal form?

A. Irrational numbers are nonterminating.

B. Irrational numbers are repeating.

C. Irrational numbers are nonrepeating.

D. Irrational numbers are terminating.

answers

C and D

A and C

B and D

A and B

Answers

Answer:

A and C

I hope this helps a little bit.

Answer:

irrational numbers are reapeating - B

irrational numbers are non terminating -A

I'm not sure about A though


Determine whether the triangle is acute, right, or obtuse given the sides: 11, 14, 20

Answers

Answer:

317 < 400

The Sum of the squares of the smaller 2 sides (121 + 196 = 317)  < longest side squared (400) So, it is an  OBTUSE SCALENE TRIANGLE.

Source: http://www.1728.org/triantest.htm

Step-by-step explanation:

Help ASAP Ill mark brainliest

Answers

Answer:

35°

Step-by-step explanation:

add all =1000

then take the 350×100 =3500 then divide by 1000=35

What dose 3 3/4 represent on the map? Pls help im not caught up on the algebra thing Btw 1 inch is equivalent to 12 miles on the map

Answers

Answer:

45 miles

Step-by-step explanation:

Complete Question

What does 3 3/4 inches represent on the map?

1 inch is equivalent to 12 miles on the map

From the above question, the scale on the map is given as:

1 inch = 12 miles

Hence, 3 3/4 inches = x miles

Cross Multiply

1 inch × x miles = 3 3/4 inches × 12 miles

x miles = 3 3/4 inches × 12 miles/1 inch

x miles = 15/4 × 12 miles

x miles = 45 miles

Therefore, 3 3/4 inches represents 45 miles on the map.

Working together, Bill and Tom painted a fence in 6 hours. Last year, Tom painted the fence by himself.
The year before, Bill painted it by himself, but took twice as long as Tom took. How long did Bill take
when painting the fence alone?

Answers

:V can you put a picture ?

This is for algebra 1

Answers

(732,837329).............

Jane Martin-Smith and her husband deposited $500 in an account on their wedding day and each subsequent anniversary. The money was deposited in an account that pays 7 percent compounded annually. How much will they have on their 25th anniversary?

Answers

Answer:

On their 25th anniversary, their account will have $850

Step-by-step explanation:

7% per year for 25 years is 170%

170% of 500 is 850

I hope this helps!

Nolur acil lütfen yalvarırım sana ueuuwu wuyahshkdlben ne zaman istersen o

can anybody help me with this number 9 ? show work please and thank you

Answers

Answer:

[tex]x = 11 \sqrt{3} \\y = 33[/tex]

-8x-3(4x-y)+7y pls show work

Answers

-8x-3(4x-y)+7y
-8x-12x+3y+7y
-20x+10y

Answer:

-20x + 8y

Step-by-step explanation:

- 8x -3(4x-y)+7y

First distribute,

-3(4x)= -12x

-3(-y)= y

so then that would be -8x -12x +y+7y

Next,

Combine like terms

-20x+ 8y

:) hope that helped

can someone help me with both these questions asap?
15 points

Answers

Answer:

what am I looking at my fault og

Please answer this! I need a quick answer with work.

Answers

Equations -

1. Input u!

[tex] \frac{2.6 - ( - 1)}{5.8} [/tex]

Solve the problem!

[tex] \frac{3.6}{5.8} [/tex]

[tex] \frac{3.6}{5.8} =0.62[/tex]

Answer:

0.44827586

Step-by-step explanation:

(2.6)(−1)/-5.8=-2.6/-5.8 so you get 0.44827586

can you guys please help me?! it’s due tomorrow and i don’t know the answers :(

Answers

Answer:

I think it is the second one because -4 is the least

Step-by-step explanation:

Answer: It’s the first option.

Step-by-step explanation:

/-4/ the bars on either side of the -4 means absolute value. The absolute value of any number is the number itself, regardless of positive or negative. /-4/ is 4.

15/3 is 5. (3 goes into 15 five times)

16/3 is 5 1/3. (3 goes into 16 five times with 1 leftover. Place the leftover 1 back on top of the denominator)

PLS HELP ILL GIVE BRAINLIEST TO FIRST PERSON


The first buses to X and Y leave a bus station at 7 am
Buses to X leave every 25 minutes.
Buses to Y leave every 20 minutes.
When will the buses to X and Y next leave at the same time?

Answers

They will both leave at the same time again at 8:40

Multiples of a number are the numbers that a number can be divided by without any remainder.

The buses X and Y will leave at the same time by 8:40 am

To calculate when buses X and Y will leave at the time, we would have to find the Lowest Common Multiple of 20 and 25 minutes.

Find and list multiple until the first common multiple is found. This is the lowest common multiple.

Multiples of 20:

20, 40, 60, 80, 100, 120, 140

Multiples of 25:

25, 50, 75, 100, 125, 150

Therefore,

LCM(20, 25) = 100

The LCM is 100 minutes

Converting 100 minutes

60 minutes = 1 hour

100 minutes = ?

Cross Multiply

100 minutes x 1 hour / 60 minutes

= 1 2/3 hours.

This can be rewritten as :

= 1 hr 40 minutes

Adding this to 7am

7 am + 1 hr 40 minutes = 8 : 40am

Therefore, the buses X and Y will leave at the same time by 8:40 am

To learn more, visit the link below:

https://brainly.com/question/24700269

You deposit $5,000 in a bank account that earns 4% simple interest. How much interest will you earn in 2 years?

Answers

Answer:

Step-by-step explanation:

If f(x)=3x+2, what is f(3)-7

Answers

Answer:

[tex] \orange{ \bold{f(3) - 7 = 4}}[/tex]

Step-by-step explanation:

[tex]f(x) = 3x + 2 \\ \\ plug \: x = 3 \\ \\ f(3) = 3(3) + 2 = 9 + 2 \\ \\ f(3) = 11 \\ \\ f(3) - 7 = 11 - 7\\ \\ \purple{ \bold{f(3) - 7 = 4}}\\ \\ [/tex]

One number is 4 more than another, and their sum is 60. What is the smaller number?



If x = the larger number and y = the smaller number, then which of the following systems could be used to solve the problem?

x + y = 60 and -x + y = 4
x + y = 60 and x + y = 4
x + y = 60 and x - y = 4
Unlimited Attempts Remain

Answers

Answer:

Step-by-step explanation:

The system is

x+y=60 and x-y=4

If we get the difference between the two equations above we get

x+y-x+y=60-4

2y=56

y=28

A line passes through the point (-8, 1) and has a slope of -
3
4
Write an equation in slope-intercept form for this line.

Answers

Answer: y = 0.6x + 5.8

help please.


answer choices:
a)2/3
b)3/2
c)6/9
d)4/6

Answers

The answer is It’s 3/2

Give the types of quantities

Answers

Magnitude (how much) and multitude (how many), the two principal types of quantities, are further divided as mathematical and physical.

Write an equivalent expression in word form.

(1- 1/3) / 2

Answers

Answer:

21

Step-by-step explanation:

one third taken away from one, halved
or
half of one minus one third

What is 36x<20? Help ASAP

Answers

Answer:

x < 5/9

Step-by-step explanation:

Answer: x < 5/9

Step-by-step explanation:

36x < 20 (divide both sides by 36)

x < 20/36 (simplify the fraction)

x < 5/9

(6n – 7) + (8n + 2) = 23

Answers

Answer:100

Step-by-step explanation:

2!2

Answer:

n = 2

Step-by-step explanation:

(6n - 7) + (8n + 2) = 23 (Combine like terms)

14n  - 5 = 23 (Add 5 from both sides)

14n = 28 (divided 14 from both sides)

n = 2

What is the perimeter of rectangle GHIJ?ILL GIVE BRAINLIEST

Answers

Answer: 52. plz mark me brainliest

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

because when you count all the blocks 20 x 6 is 120

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