Find the equation of the line passing through the points (0,7) and (5,-3).

Answers

Answer 1

Answer:

y = - 2x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 7 ) and (x₂, y₂ ) = (5, - 3 )

m = [tex]\frac{-3-7}{5-0}[/tex] = [tex]\frac{-10}{5}[/tex] = - 2

The line crosses the y- axis at (0, 7 ) ⇒ c = 7

y = - 2x + 7 ← equation of line


Related Questions

Solve the following systems of equations by substitution or graphing.

Answers

Answer:

Answer:

Speed of the wave in the string will be 3.2 m/sec

Explanation:

We have given frequency in the string fixed at both ends is 80 Hz

Distance between adjacent antipodes is 20 cm

We know that distance between two adjacent anti nodes is equal to half of the wavelength

So \frac{\lambda }{2}=20cm

2

λ

=20cm

\lambda =40cmλ=40cm

We have to find the speed of the wave in the string

Speed is equal to v=\lambda f=0.04\times 80=3.2m/secv=λf=0.04×80=3.2m/sec

So speed of the wave in the string will be 3.2 m/sec

Because Bernard has some health issues, he must pay 15% more for life insurance. About how much more annually will a $115,000 10-year term insurance at age 35 cost Bernard than someone of the same age without health issues? A 3-column table with 3 rows. Column 1 is labeled age with entries 35, 40, 45. Column 2 is labeled 10-year term, male, with entries 1. 40, 1. 64, 2. 7. Column 3 is labeled 10-year term, female, with entries 1. 36, 1. 59, 2. 1. A. $161 b. $185 c. $1,073 d. $24 Please select the best answer from the choices provided A B C D.

Answers

From the given table, the annual premium rate as a percentage of value insured a person at age 35 has to pay is 0.14%.

The amount more annually a $115,000 10-year term insurance at age 35 cost Bernard than someone of the same age without health issues is option d. $24

Reasons:

The data in the table are presented as follows;

[tex]\begin{tabular}{|c|c|c|}Age&Annual Insurance Premiums (per \$1,000 of face value)&\\&10-Year Term &\\&Male&Female\\35&1.40&1.36\\40&1.64&1.59\\45&2.07&2.01\end{array}\right][/tex]

From the above table, we have that the amount a 35 year old without health issues will pay per $1,000 is $1.40

Therefore, the amount to be paid for $115,000 is 115 × $1.4 = $161

The amount Bernard pays = 15% more = 1.15 × $161 = $185.15

Therefore;

The amount more Bernard has to pay = $185.15 - $161 = $24.15 ≈ $24

Learn more about insurance premiums here:

https://brainly.com/question/3053945

Answer:

$24 or D, Hope this helps :D

Step-by-step explanation:

Its very hard so brainly is very helpful

Answers

Answer: What question do you need help with?

Answer:

do u eat cat litter

Step-by-step explanation:

what is this using Distributive property 6(n + 4)

Answers

Answer:

6n + 24

Step-by-step explanation:

if cassey adds the following two equations, what multiple of the first equation will the sum represent?

x+y=5
2x+2y=10
A:2 B:3 C:4 D:5

Answers

Answer: 5

Step-by-step explanation:

Work out the area of triangle ABC.

Answers

Answer:

A = 4 cm²

Step-by-step explanation:

The area of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

b = AC = 3[tex]\sqrt{2}[/tex] + [tex]\sqrt{2}[/tex] = 4[tex]\sqrt{2}[/tex]

h = BD

Calculate BD using Pythagoras' identity in Δ ABD

BD² = AB² - AD²

      = (2[tex]\sqrt{5}[/tex] )² - (3[tex]\sqrt{2}[/tex] )²

     = 20 - 18 = 2 ( take square root of both sides )

BD = [tex]\sqrt{2}[/tex]

Then

A = [tex]\frac{1}{2}[/tex] × 4[tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex] = 2 × [tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex] = 4 cm²

fill in the table of values for y=2x+3

Answers

Answer:

2 4 2 y-3

Yan po answer

what is 7829 to the nearest 1000

Answers

Answer:

8000

Step-by-step explanation:

Since 8 is bigger than 5, you can increase it

7829 to the nearest ten: 7830

7829 to the nearest hundred: 7800

Hope this helps!

The value 829 > 500 thus rounding of 7829 to the nearest 1000 is 8000.

How do round any digit?

To round up or down tens place then we need to look at the unit place if it is less than 5 then we need to keep it as it and if it is greater than 5 then we need to round up the tens digit.

For example round of 346 will, be350 and round of 344 will be 340

Given the digit,7829

9 → unit place

2 → tens place

8 → hundred place

7 → thousand place

In order to round to the nearest thousand we need to look at a hundred places if it is > 500 then we will round up.

Since 829 > 500 so 7829 → 8000

Hence "The value 829 > 500 thus rounding of 7829 to the nearest 1000 is 8000".

To learn more about rounding a digit,

https://brainly.com/question/116595

#SPJ2

please help me I'm not good at math :(


the options are:

exactly one real solution

infinitely many solutions

no real solution

two real solutions​

Answers

Answer: No real solution.

Step-by-step explanation:

Since the parabola never crosses the x-axis, there are no real solutions.

WILL GIVE BRAINLIEST

Answers

Using the equation y2-y1 / x2-x1 to find the gradients:

The 'm' stands for gradient

7) 9+20/-5+14

m = 29/9


8) -6-1/5+1

m = -7/6


9) -9-9/-14-15

m = 18/29


10) 15+12/18-2

m = 27/16

100 points


Suppose a recipe calls for 2 1/2 cups of liquid made of milk and water. If 1 2/3 cups of milk are used, how much water is needed?

Answers

Answer:

1/3 * 3 = 1 cup of milk

1/2 * 3 = the amount of water needed per cup of milk

1/2 * 3 = 3/2 or 1.5

The recipe calls for 1.5 cups of water per cup of milk.

Hope this helps!

The quantity of water in the liquid is 5/6 cups

How to subtract fractionTotal cups of liquid (milk and water) = 2 1/2 cups

If cups of milk = 1 2/3 cups

Water = Total cups of liquid - cups of milk

= 2 1/2 - 1 2/3

= 5/2 - 5/3

The least common denominator is 3× 2 = 6

= (15-10) / 6

= 5/6 cups

Learn more about fraction:

https://brainly.com/question/11562149

Tim is an elementary school art teacher. His students are sculpting a replica of a shark out of clay. Tim has given them one block of clay to make 20 conical shark teeth for the sculpture. The block contains 81 cm3 of clay. If each tooth is solid and has a 2. 5 cm base diameter, what is the maximum height each tooth can be? Assume that the students use all the clay. A. 1. 25 cm B. 2. 27 cm C. 2. 47 cm D. 3. 57 cm E. 4. 50 cm.

Answers

The maximum height each tooth is 2.47cm.

The first step is to determine the maximum volume of a tooth.

Maximum volume of a tooth = volume of the block / number of teeth

81 cm³ / 20 = 4.05cm³

The formula to determine the height of a cone is:

Height = volume ÷ [tex]\frac{1}{3}[/tex]πr²

Where:

π = pi = 22/7 r = radius = 2.5 / 2 = 1.25cm

Height = 4.05  ÷ [tex]\frac{1}{3}[/tex] x [tex]\frac{22}{7}[/tex] x 1.25² = 2.47 cm

To learn more about the volume of a cone, please check: https://brainly.com/question/1315822

Jamie owns a house painting service. for each house, she charges $70 plus $40 per hour of work. A linear equation that expresses the total amount of money Jamie earns per house is y=70+40x. What are the independent variables? What is the y-intercept and the slope?

Answer choices:

Answers

Answer:

Slope:40 Y-intercept: 70 (AKA, B)

Step-by-step explanation:

y=mx + b

(mx is slope, the x can show u where the slope is usually located.)

let me know if im wrong

53:24
Which statement about the function is true?
The graph of the function f(x) = -(x + 3)(x - 1) is
shown below.
The function is positive for all real values of x
where
x 1.1
6
27
O The function is negative for all real values of x
where
x <-3 and where x > 1
The function is positive for all real values of x
where
x > 0
The function is negative for all real values of x
where
X<-3 or x>-1
-6
4
2.
4
6
х
-2
-2
4
Mark this and return
Save and Exit
Next
Submit

Answers

Answer:

25

Step-by-step explanation:

how do I find the volume of this shape?​

Answers

Answer:

length times witdth times height

helppp please needed before tomorrow!!!!!!!!!!​

Answers

Answer:

The function is 200+50t (t= # of months)

Step-by-step explanation:

The best way to do this is to look at the question, and see no matter what, we have to pay 200 dollars to start. After which, they charge 50 bucks a month. Knowing this, we can make a function using f(x). Let C(t)= cost. Included is that graph. So for these questions, we need to see that there is an independent and a dependent variable, and we need to see that cost is affected by time. Hope this helps.

solve: 3(2x+7) S 6(x-4)

Answers

Answer:

no solution

Step-by-step explanation:

3(2x + 7) ≤ 6(x - 4) ← divide both sides by 3

2x + 7 ≤ 2(x - 4)

2x + 7 ≤ 2x - 8 ( subtract 2x from both sides )

7 ≤ - 8 ← False statement

This means the inequality has no solution

4x+y=0 2x-y=-12 how many solutions does this problem have? No solution, one solution, or infinite solutions

Answers

Ok done. Thank to me :>

875537= ? x 10^? i need help on this question

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

The given value can be expressed as ~

[tex] \sf8.75537 \times 10 {}^{5} [/tex]

The function f(x) goes through the point (4, 7). What point will this translate to in the function f(x) = (x - 6) + 3?
a. (10,10)
b. (-2,4)
c. (10,4)
d. (-2,10)

Answers

Answer:

a. (10,10)

Step-by-step explanation:

This was by accident the first answer is right

Jimez has $27 in his pocket. Which is the least number of bills that he can have, assuming he could possibly have $1, $5, $10, and $20.
(A) 3
(B) 4
(C) 5
(D) 8​

Answers

Answer:

4, because he could have a 20 a 5 and two ones.

Step-by-step explanation:

3 one bills assuming he has a twenty and a five

what is x????
please help!!!!

Answers

Answer:

x = 9

Step-by-step explanation:

4x + 38 = 10x - 16

The sum of two opposite interior angles is equal to the opposite exterior angle.

4x + 38 = 10x - 16

38 = 10x -16 - 4x

38 = 6x - 16

38 + 16 = 6x

54 = 6x

Divide both sides by 6

x = 9

the function t(n) 8n represents the number of tires t(n) that are needed for n trucks. if t(n)=200. what is the value of n?

Answers

Step-by-step explanation:

if I understand correctly, then the function is

t(x) = 8x

now we know, that for a specific n

t(n) = 200

that means

200 = 8n

n = 200/8 = 25

the function tells us, that for 25 trucks we need 200 tires.

What time is shown on the clock

Answers

Answer:

6: 56

Step-by-step explanation:

the graphs show information about the different journeys of 4 people

Answers

Answer:

sorry id like to help but i need more info.

Step-by-step explanation:

i hope this helps!

what is the slope of the line perpendicular to AB if A(-1,10) and B(5,-2)

Answers

The slope of the line that is perpendicular to line AB is: 1/2.

Recall:

If line A has a slope of "-a" and it is perpendicular to line B, therefore, the slope of line B will be the negative reciprocal of line A which is 1/a.Slope (m) = change in y / change in x = [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Given:

A(-1,10)

B(5,-2)

Slope of AB:

[tex]m = \frac{-2 - 10}{5 -(-1)} = \frac{-12}{6} \\\\\mathbf{m = -2}[/tex]

The slope of the line that is perpendicular to line AB will be the negative reciprocal of the slope of AB.

Therefore, the slope of the line perpendicular to AB is: 1/2.

Learn more about slope of a line perpendicular to a line on:

https://brainly.com/question/17990826


Will mark brainliest

Answers

Answer:

Quadrant 3     or aka     Quadrant III

Step-by-step explanation:

The top right quadrant is the first quadrant. Aka Quardant 1

The top left quadrant is the second qudrant. Aka Quadrant 2

The bottom left quadrant is the third quadrant. Aka Quadrant 3

The bottom left quadrant is the fourth quadrtant. Aka Quadrant 4

The heart is located in the bottom left quadrant. Meaning, it is the third quadrant. Aka Quadrant 3

Follow me on intsa: ifaulkner24

Send me a message on it and I'll follow you right back

10,000 candy canes was divided into 50 boxes. How many candy canes were in each box?​

Answers

Answer:

200

Step-by-step explanation:

Ashley is bagging 32 pumpkin mut
some friends. Each bag will hold only one type of muffin.
will number
of muffins she can put in each bag? How many bags of each type
of muffin will there be?

Answers

Answer:

4 of each, 8 pumpkin bags, 7 banana bags

Step-by-step explanation:

4 is the GCF of 32 and 28.

Divide each number by 4

Given h(x)=-x+5, solve for x when h(x)=3. PLEASE I NEED HELP ILL GIVE BRAINLIEST.

Answers

[tex]\text{Given that,}\\\\h(x) = -x+5\\\\\implies 3 = -x +5\\\\\implies x = 5 -3 =2[/tex]

Other Questions
how long do thanksgiving leftovers last in the fridge Rain is-pouring down on you. Your friend asks where so much watercame from. You explain that the water could once have beena) in a lake.c) in an ocean.-b) in-a river.d) any of the above. CAN SOMEONE HELP ME PLEASE I will give 100 points for 5 questions 2x+5+2x+3x no solution, 2x+5+2x+3x one solution, 2x+5+2x+3x infinitely many solutions The main source of information about the resident is:The resident.The dietary worker.The social worker.The activity assistant. Martha is a website owner and operator of techtalk.org (a fictitious website) owned by TechTalk LLC. Martha writes reviews of new technology products and makes money from online advertising on the website. For each article, Martha includes a copyright notice of 2012 TechTalk at the bottom of each article but has not registered the articles with the U.S. Copyright Office. Martha runs a search on the Internet and finds that a competing website has three articles that are strikingly similar to articles appearing on techtalk.org with more than 80 percent similarity in the text. Describe the requirements for TechTalk LLC in bringing a copyright infringement action. What remedies could TechTalk LLC seek? What defenses could apply? Answer reading questions Click to fix any plural or possessive errors below. If there is no error, just click"Submit Answer."Tip: The name of this place is "the Caribbean Sea."Every weekend, Jack Johnson explores one of theCaribbean Sea little islands.ResetSubmit answerI don't knowReport a problem The purest source of energy is PLEASE HELP!!!!! thx :)Jorge makes a cylindrical birthday cake as shown in the figure. He slices it verticallyinto two equal pieces, cutting directly through the center of the cake.Which statement best describes the resulting cross section? can someone help me please! How many ml of a 2.903 M NaOH solution are needed to produce 500.0 ml of a 0.3344M solution? please explain your answer How do you work x+1-2=4 and x-1=2 What is precipitation ???? Is grass a living thing What is American Imperialism and why did it happen ? Spanish 2 Reflexive Verb Test. Will mark Brainliest if answers are correct. Questions are in the image below. y+5/y+6=5/4 can you pleas solve this step by step it is really hard