A line crosses through the point (3,10) and another point can be found on the line by going right 2 and down 7. find slope and y intercept

Answers

Answer 1

Answer:

y =  [tex]\frac{-7x}{2}+\frac{41}{2}[/tex]

Step-by-step explanation:

We are given the point (3, 10).

The second point is 2 on the x-axis and -7 on the y-axis. So our second point is: (3 + 2, 10 - 7) which is (5, 3).

Our formula for slope is m = [tex]\frac{rise}{run}[/tex] = [tex]\frac{y2-y1}{x2-x1}[/tex]

So, our equation would be [tex]\frac{3-10}{5-3}[/tex] = [tex]\frac{-7}{2}[/tex]

Using the standard formula of a line, y = mx + b, we can substitute for the slope, m.

y = [tex]\frac{-7x}{2}[/tex] + b

Now, we can substitute a point on the line to determine the y-intercept:

Using the point (3, 10),

10 = [tex]\frac{-7(3)}{2}[/tex] + b

b = 10 + [tex]\frac{21}{2}[/tex]

b = [tex]\frac{41}{2}[/tex]

So our full equation is: y =  [tex]\frac{-7x}{2}+\frac{41}{2}[/tex]


Related Questions

The mathematics department has just received a $200000 donation. The department wants to invest in an annuity so that they can gove a prize every month to its most improved math student for next 15 years. The bank is offering 4.5% compounded monthly. What would be the size of the department’s monthly prize offered?

Posted this question 1000times plz someone answer, i beg plz help

Question about financial application functions

Plz help me with this question ASAP( being timed)

Plz show all working

Thank you so much God bless you

Answers

i think the answer is 6.7

What number solves the equation x – 21 = 43

Answers

Answer:

64 - 21 = 42

Step-by-step explanation:

x = 64

- Hope this helped! ^ω^

64 because just add 21 and 43 which gives you 64 and 64 - 21 = 43, if I’m wrong then I apologize

Triangle One or Triangle Two, which one is a right triangle?

Explain how you know.

Answers

Answer:

The first triangle is because right triangles are tilted on a 90 degree angle

How to solve Y=-1/3x+7

Answers

Answer:

x+3y=21 in standard form

x+3y=21 , i hope its right

UNIT 3 LAB QUESTIONS

What makes a good life? Lessons from the longest study on happiness
Waldinger asks the question, “What keeps us healthy and happy as we go through life?” How would you answer this question? How does your answer relate to the eight dimensions of wellness?
What was the objective of the 75-year study that Waldinger is a director of? What made this study so rare?
What was the biggest takeaway from the study, as far as what the researchers learned about what keeps us healthier and happier?
How do good relationships help our health and well-being?
Why Do We Sleep?
How does this video on sleep fit into the eight dimensions of wellness?
Foster discusses some theories behind why sleep is so important. In his third theory, what examples does he give of how sleep helps us cognitively?
What are the dangers of not getting enough sleep? And what kind of impact does this have on our health?
On the whole, do you get enough sleep? How does this positively or negatively affect your health that you have noticed?
What is the connection between sleep and mental illness? How does this play into your understanding of the eight dimensions of wellness?

Answers

Answer:

people who are more socially connected to family, friends, and the community are happier. They are also physically healthier and they live langer that other people that are less connected. What I am trying to say is it's your close relationships that matter the most. Thats my opinion though

Please please help me I really need it as soon as possible

Answers

The answer is actually 59.36

Answer:

$59.36

Step-by-step explanation:

Multiply the whole number by the percentage (make the number a decimal,) to get the answer.

in the interval 0° ≤ x ≤360°, find the values of x for which tan x =1.3562 Give your answers to the nearest degree

Answers

Answer:

The answers are 54 degrees and 234 degrees

Step-by-step explanation:

mathematically we have the tan positive on only two axes

these are the first (0-90) degrees and the 3rd quadrant (180-270)

We start by find the arc tan of the angle value

Thus;

x = arc tan (1.3562)

x = 54 degrees

On the third quadrant, we have it that;

180 + 54 = 234 degrees

Solve using the Zero-Product Property
(x - 11)(5x + 1) = 0

Show your work or not.​

Answers

Step-by-step explanation:

third and the yellow one will be the answer

x=11,X=-1/5

Can someone help please

Answers

Answer:

14.5 units

Step-by-step explanation:

we need to find the length of the rectangle. To do that, we must find the hypotenuse of the right triangle below the rectangle.

Finding the hypotenuse of a right triangle uses the Pythagorean theorem, or a² + b² = c²

let a be 9 and b be 7.

9² + 7² = c²

81 + 49 = c²

130 = c²

√130 = c

c = approx. 11.4

Now, we know the length of the rectangle.

Once a rectangle is cut diagonally, it forms 2 equal right triangles. We will use the same process to find the hypotenuse of the second right triangle.

9² + 11.4² = c²

81 + 130 = c²

81 + 130 = approx. 211

c² = 211

√211 = c

c = approx. 14.5

In the month of February it rained 21 out of the 28 days. What percent of days did it rain?

Answers

The answer would be 75%. I set it up in a ratio.

Chris rode his bike 4 miles west and then 3 miles south. What is the
shortest distance he can ride back to the point where he started?

Answers

Answer:

5 miles

Step-by-step explanation:

This is because if you draw a line going west and label it as 4 miles, then draw another line going south and label it 3 miles, you form a right angle, right? So, the fastest way to go back would be taking a diagonal-like route back to the beginning. Does this shape look familiar to you? Right! It's a right triangle. And do the numbers 3, 4, and 5 sound familiar to you? Yup, it's a Pythagorean triplet. If the legs of a right triangle are 3 and 4, the hypotenuse is 5. Why am I saying this? Because, in the drawing you just did, the 4 miles west and 3 miles south were the legs, and the diagonal path back to the beginning is the hypotenuse. Get it now?

Happy to help! :)

67,802. the 8 has what place value?

Answers

Answer: Hundreths

Step-by-step explanation:

Answer:

The 8 value place is a hundred

Find the slope of the line that passes through the two points.
(10.1) and (7,7)

Answers

Answer:

m = -2

Step-by-step explanation:

I believe that you meant (10, 1) and (7, 7) because otherwise I wouldn't be able to answer it.

So y2-y1/x2-x1 is your equation

First plug in the numbers

7-1/7-10

6/-3

-2

Therefore, m = -2

7/8 b - 2 b + 4 C where a equals -3 b equals 5 C equals 6 ​

Answers

Answer:

18.375

Step-by-step explanation:

Click on the graphic until you find the right quotient.

(36x^a - 30x^b) ÷ (-6x^2)

The answer options are;
-6x^a-2 + 5x^b-2
5x^a + 4y^b
4x^a-2 - 5x^b-2

I WILL delete answers that are not helpful.

Answers

Answer:

Give the other guy brainliest

Step-by-step explanation:

Option A is correct, [tex]-6x^a^-^2+5x^b^-^2[/tex]  is the right quotient of the expression [tex]\frac{ (36x^a - 30x^b) }{-6x^2}[/tex]

What is Division?

A division is a process of splitting a specific amount into equal parts.

The given expression is[tex]\frac{ (36x^a - 30x^b) }{-6x^2}[/tex]

Thirty six times of x power a minus thirty times of x power b divided by minus six times of x square.

Factor 6 from the numerator.

Six times of six x to the power pf a minus five times of x power b divided by the minus six times of x square.

[tex]\frac{6(6x^a-5x^b)}{-6x^2}[/tex]

When we divide numerator and denominator by 6, 6 will be cancelled in numerator and denominator

[tex]-6x^a/x^2 + 5x^b/x^2[/tex]

When the denominator exponent is taken to numerator then it will be multiplied with negative sign.

[tex]-6x^a^-^2+5x^b^-^2[/tex]

Hence, Option A is correct, [tex]-6x^a^-^2+5x^b^-^2[/tex]  is the right quotient of the expression [tex]\frac{ (36x^a - 30x^b) }{-6x^2}[/tex]

To learn more on Division click:

https://brainly.com/question/21416852

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PLEASE HELP QUICK (13 points)

A new laptop costs around $850. What
is a reasonable amount of sales tax you
would expect to pay (estimate)?

Answers

Answer:

Depends on your sales tax rate where you live.

Lets call your sales tax rate X%

then it would be multiplied b y the $850 and that would be added back to the $850.

Example:

If your sales tax rate were 10%

then it would be .10 x $850 =$85

Now add the $85 to the $850 and your total would be $945

P.S. Some localities offer sales tax free weekends for school supplies.

Step-by-step explanation:

CAN SOMEONE PLEASE HELP ME ON THIS PLEASE SHOW THE WORK I REALLY JUST NEED ANYONE BRO TO BREAK IT DONE FOR ME

Answers

Answer:

I geuss we'll neva know

*cues music*

Step-by-step explanation:

John needs to cut three strips of wood, inches, inches, and inches long. He has a strip that is inches long. How long will the leftover piece be after he cuts what he wants?

Answers

Answer:

the left over piece is [tex]11 \frac{4}{5}[/tex] inches

Step-by-step explanation:

The computation is shown below:

The total length of the strips is

[tex]= 11 \frac{3}{5} + 15 \frac{1}{5} + 9 \frac{2}{3} \\\\= \frac{58}{5} + \frac{76}{5} + \frac{47}{5}\\\\= \frac{58 + 76 + 47}{5}\\\\= \frac{181}{5}\\\\= 36 \frac{1}{5}[/tex]

The left over piece would be

[tex]= 48 - 36 \frac{1}{5}\\\\= 48 - \frac{181}{5}\\\\= \frac{240 - 181}{5}\\\\= \frac{59}{5}\\\\= 11 \frac{4}{5}[/tex]

Hence, the left over piece is [tex]11 \frac{4}{5}[/tex] inches


An 8 kg toddler is running and using 400 J of kinetic energy. What is the velocity of the
child

Answers

Answer:

10 m/s

Step-by-step explanation:

KE = 0.5mv^2

400 = 0.5(8)(v^2)

100 = v^2

v = 10 m/s

The spinner below is spun 1 time and the number cubes is rolled 1 time. What is the probability of the spinner landing in a green and rolling a number less than 3?

Answers

Answer:

unlikely

Step-by-step explanation:

because the sooner is only spun once while the cube is only roles once as well.

In AWXY, W = 4.8 inches, x = 7.2 inches and y=9.3 inches. Find the measure of ZW
to the nearest degree.

Answers

Answer:

31

Step-by-step explanation:

trust me

Answer:

31

Step-by-step explanation:

W=30.584≈31

How to solve ∠GHJ and ∠JHK are adjacent angles. ∠GHK measures 73°.

Answers

Answer:

GHJ = 19

JHK = 54

Step-by-step explanation:

first we setup an equation 73=x+2+3x+3 and solve for x

step 1 combine like terms

73=4x+5

step 2 subtract each side by 5

68=4x

step 3 divide each side by 4

x=17

then if we want to find what each angle equals we just plug in 17 to x

17+2=19 so angle GHJ equals 19

3x17=51+3=54 so angle JHK equals 54

(-1, -11) and (-6, -7) in simplified form please!​

Answers

Answer ——-
Y=-13x - 24

What is the value of (x)​

Answers

Answer:

x = -2

Step-by-step explanation:

12 + x = 10

x = 10 - 12

x = -2

Answer:

X=-2 12+(-2)=10

12-2=10

10=10

Need Help ASAP Will Mark Brainliest

Answers

Answer:

C

Step-by-step explanation:

The rest are all non terminating

Melvin has $25 dollars to spend. He spent $10.81, including tax, to buy a new DVD. He needs to save $10.00 but he also wants to buy peanuts. Peanuts cost $0.38 per package including tax.
Write and solve an inequality that will determine the maximum number of packages of peanuts that Melvin can buy

Answers

Answer:

Melvin can buy 11 package Peanuts

Step-by-step explanation:

The base of a rectangular tank measures 50 cm by 40 cm. It contains 60 liters of water when it is ¾ full. Find the height of the tank. (1 liter = 1000 cm3)

Answers

Answer:

40 cm

Step-by-step explanation:

Let h = height of the tank

V =  lwh

(3/4)V = 60 liters = 60000 cu cm

50(40)h = 2000h = Volume of the tank

(3/4)2000h = 1500h = (3/4)V = 60000

h = 40 cm.

help...................​

Answers

Answer:

I'm so sorry I don't know this

Answer:

i did it.look at this once

A flower garden is circular. The diameter of the garden is 20 feet. Which is the closest to the total area of the garden?

Answers

Answer:

40

Step-by-step explanation:

The total area of the garden is  31.75 sq meters

The first step is to calculate the radius if the circle

The diameter of the garden is 20 feet

2π × radius= 20

2π × 3.14= 20

6.28π= 20

π= 20/6.28

π= 3.18

The area of the flower garden can be calculated as follows

= π × radius²

= 3.14 × 3.18²

= 3.14 × 10.1124

= 31.75 sq meters

Hence the total area of the garden is 31.75 sq meters

Please see the link below for more information

https://brainly.com/question/21760828?referrer=searchResults

Solve for x: -3x-5=16

Answers

Answer for problem is : X= -7

The value of x is -7

What are algebraic expressions?

These are expressions that are made up of terms, variables, constants, factors and coefficients.

Algebraic expressions are expressions made up of arithmetic operations, such as;

AdditionMultiplicationDivisionBracketParentheses

From the information given, we have that;

-3x-5=16

collect the like terms

-3x = 16 + 5

-3x = 21

Divide by the coefficient of x

x = -7

Learn about algebraic expressions at: https://brainly.com/question/4344214
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