What is an equation of the line that passes through the points (4, -5) and (2, 0)?

Answers

Answer 1

Answer:

y = - [tex]\frac{5}{2}[/tex] x + 5

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 ) = (4, - 5) and (x₂, y₂ ) = (2, 0)

m = [tex]\frac{0+5}{2-4}[/tex] = [tex]\frac{5}{-2}[/tex] = - [tex]\frac{5}{2}[/tex] , then

y = - [tex]\frac{5}{2}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 0 )

0 = - 5 + c ⇒ c = 0 + 5 = 5

y = - [tex]\frac{5}{2}[/tex] x + 5 ← equation of line


Related Questions

23 2/5−11 4/5 Enter your answer as a mixed number in simplest form.

Answers

Answer:

11 3/5

Step-by-step explanation:

23 2/5-11 4/5

22 7/5-11 4/5

11 3/5

The cylinder has a volume of 12pi cubic inches and a diameter of 4 inches. Find the cylinders radius and height. The cylinders radius is______ inches and it’s height is_____ inches.

Answers

Answer:

         The cylinder's radius is 2 inches                and it’s height is 3 inches.

Step-by-step explanation:

A diameter is two radiuses long, so the cylinder's radius is:

R = 4 in ÷ 2 = 2 in

The volume of cylinder is: V = πR²×H

Therefore:

               12π = π×2²×H

               12 = 4H

                H = 3 in


A number cube with faces numbered 1 through 6 is rolled 15 times. In theory, how many times would you expect to roll a number less than five?
A: 2.5
B: 5
C: 10
D: 12.5

Answers

Answer:

dude im retaking the test and we have the same teacher,lol

Step-by-step explanation:

Find the measure of the missing angles.

Answers

Answer:

b = 20, c = 160

Step-by-step explanation:

b and 20 degrees are vertical angles, so they are equal.

b (20 degrees) and c are on a line together, so they add up to 180. 180 - 20 = 160 degrees

Answer: B= 20 degrees
C= 160 degrees

Why? B is the angle across from 20 and that means they are equal. To find C you do 180-20 to get your answer

Hope this helps :D

What is the value of x?

Triangle V P M. Angle V is 47 degrees, angle P is 85 degrees, and angle M is x degrees.

degrees

Answers

Answer:

48

Step-by-step explanation:

I know I'm super late, so so sorry but for another in the future, it's 48

Answer:

48

Step-by-step explanation:

Please help, I need the answer fast, so I will give brainliest for a correct answer.

Answers

Answer:i think the first one is false

Step-by-step explanation:

This figure shows the dimensions of a right triangular prism.
What is the volume of the right triangular prism in cubic feet?
O 270 ft
0 450 ft
O 2025 ft3
O 4050 ft
PLEASEE HELP ILL GIVE BRAINLIEST

Answers

Answer: 2025

Step-by-step explanation: first you multiply 30x15x9= 4050 but you keep going and then divide 4050/2= 2025 and that would be your answer

                                           

                                                      A=2025

The volume of the right triangular prism in cubic fee should be considered as the 2025.

Calculation of the volume of the right triangular prism:

here first we have to multiply the 30, 15 and 9 with each other so it comes 4050

Now we have to half the 4050 so it comes 2025

hence, The volume of the right triangular prism in cubic fee should be considered as the 2025.

Learn more about volume here: https://brainly.com/question/24422556

please help marking brainlist

Answers

Answer:

50.0

Step-by-step explanation:

pls follow me and Mark as brainliest and follow me to get free thnks to all your answer's

Answer:

50.0

Step-by-step explanation:

What is the answer to this question?

Answers

first -10 then divide by 10


Ty'Lil has $220 to spend on a membership to a new gym. The monthly fee is $15 and he must also pay $40 to join. How many months can he afford?

Answers

Answer: 12

Step-by-step explanation:

220-40=180

180/15=12

Answer:

11 months

Step-by-step explanation:

220 -40=180

Since you have to pay $40 to join you have to add $15 to that $40 for the monthly fee.

220-40-15=156

^ This equals one month worth of the membership.

220-40-15-15-15-15-15-15-15-15-15-15-15=0

So add up all the 15s and you have the number of months Ty ´Lil can afford.

I hope this makes sense.

Find all of the roots of the following quartic equation:
h(x)= x^4 - 2x^3 - 9x^2 + 18x

Answers

x4)-(2•(x3)))-32x2)+18x
STEP
2
:

Equation at the end of step
2
:

(((x4) - 2x3) - 32x2) + 18x
STEP
3
:

STEP
4
:
Pulling out like terms

4.1 Pull out like factors :

x4 - 2x3 - 9x2 + 18x =

x • (x3 - 2x2 - 9x + 18)

Checking for a perfect cube :

4.2 x3 - 2x2 - 9x + 18 is not a perfect cube

Trying to factor by pulling out :

4.3 Factoring: x3 - 2x2 - 9x + 18

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: -9x + 18
Group 2: x3 - 2x2

Pull out from each group separately :

Group 1: (x - 2) • (-9)
Group 2: (x - 2) • (x2)
-------------------
Add up the two groups :
(x - 2) • (x2 - 9)
Which is the desired factorization

Trying to factor as a Difference of Squares:

4.4 Factoring: x2 - 9

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 9 is the square of 3
Check : x2 is the square of x1

Factorization is : (x + 3) • (x - 3)

Final result :
x • (x + 3) • (x - 3) • (x - 2)

y=15x-40 when x = 3 Function and Solution

Answers

Answer:

5

Step-by-step explanation:

Just substitute by the value of x

y = (15 * (3)) - 40 = 45 - 40 = 5

Answer:

the answer is 5

Step-by-step explanation:

15×3=45 then subtract 40 and your get 5

Combine Like terms and write an equivalent expression with the fewest number of terms. 4 -2x + 5x

Answers

Answer:4-7x i believe

Step-by-step explanation:

Brett has a 30 year fixed rate mortgage for $112500 with monthly payments of $603.92. The annual interest rate is 5% what is the total cost of the principal and interest for this not rounded to the nearest dollar

Answers

Answer:

a. Total cost of the principal = $217,411.20

b. Interest for the mortgage loan = $104,911.20

Step-by-step explanation:

Total cost of the principal = Monthly payment * Number of years * Number of months in a year = $603.92 * 30 * 12 = $217,411.20

Total cost of the principal of the loan includes the mortgage loan amount and the interest for the mortgage loan. Therefore, the interest for the mortgage loan can be calculated as follows:

Interest for the mortgage loan = Total cost of the principal - Mortgage loan amount = $217,411.20 - $112,500 = $104,911.20

Tickets to the school play are $10 for adults, $4 for students and $3 for senior citizens. There were 670 tickets sold for Thursday's show, worth $5615. If there were 65 tickets sold to senior citizens, how many tickets were sold to adults and how many were sold to students?​

Answers

Answer:

500

105

Step-by-step explanation:

This question would be solved using a simultaneous equation

let

a = number of adults who bought the ticket

b = number of students who bought the ticket

c = number of senior citizens who bought the ticket

a + b + c = 670 eqn 1

10a + 4b + 3c = 5615 -- eqn 2

If 65 senior citizen bought the ticket, substitute for c in equation 1 and 2

a + b + 65 = 670

a + b = 670 - 65

a + b = 605 eqn 3

10a + 4b + 3(65) = 5615

10a +4b = 5420 eqn 4

multiply equation 3 by 10 to derive equation 5. Subtract eqn 4 from eqn 5

10a + 10b = 6050 eqn 5

          -

10a + 4b = 5420 eqn 4

= 6b = 630

b = 105

Students who bought the ticket are 105

Substitute for b in eqn 3

a + 105 = 605

a = 500

Adults who bought the ticket are 500

arynbo3324

WHOEVER THIS IS I NEED YOUR HELPP!!

Answers

What are you talking about?

The direct distance from a starting point to a finish line is 15 miles. Unfortunately, you can't take the direct route. If you travel 12 miles east, how many miles north must you travel to reach the finish line? 10 19 9

Answers

Answer:

9 miles

Step-by-step explanation:

From Pythagoras :

Opposite^2 = Hypotenus^2 - Adjacent^2

The direct route = 15 miles = hypotenus

x² = 15^2 - 12^2

x² = 225 - 144

x² = 81

x =. Sqrt(81)

x = 9

Hence, you must travel 9 miles north

Answer:

9 miles :)

Step-by-step explanation:

a^2 + 12^2 = 15^2

a^2 + 144 = 225

a^2 = 81

a = 9

16:25 simplified (ratio maths)

Answers

Answer:

its simplifed as much as it can.

Step-by-step explanation:

Answer:

its already simplified the most but as a decimal its 0.64

Step-by-step explanation:

PLZZZ GIVING BRAINLIST

Answers

Answer:

[tex] \dfrac{-7600}{3} [/tex]

Step-by-step explanation:

The plane is descending, so the change in height is a negative change.

rate of descent = (change in height)/time

rate of descent = (new height - old height)/time

rate of descent = (7400 ft - 15000 ft)/(3 min)

rate of descent = (-7600 ft)/(3 min)

Answer: [tex] \dfrac{-7600}{3} [/tex]

how do i calculate the range? {mean, median, mode, range} pls help ASAP
Also, can you tell me in the comments how to delete an answer or remove it?

Answers

Answer:

The anwer is below.

Step-by-step explanation:

To calculate mean a.k.a average of something is when you add all of the numbers in the set and then multiply by the number of numbers there were.

an example : 4, 5,6,7 = 4+ 5 + 6 + 7 + 3 = 25 divided by 5 ( the number of numbers there were ) which is 5 so the mean is 5

To calculate the median you have to organize the set of numbers from least to greatest choose the middle number and that's the median, If there is an even number of numbers in the set then you add the two middle numbers and divide it by 2.  

an example : 5,7, 8, 4 =  4, 5, 7 , 8 = the middle numbers = 5 + 7 = 12 divided by 2 = 6

To calculate the mode you have to see which numbers comes more often in the set of numbers, If there are two different numbers that come often even if one is higher include them in the mode.

An example - 5,6,6,6,6,7,7,7. The mode in this is 6 but 7 comes often to so if your teacher tells you to include more than one mode in these kinds of situation you include 7 or in general you don't have to

To calculate the range you choose the greatest and the lowest numbers and substract the highest to the lowest number in the set.

An example  5, 6, 7 , 9 , 8 = 9 ( the highest number in this set) - ( substraction) 5 ( the lowest number in this set) and 9 - 5 = 4 so the range is 4

Someone plz help me I will give brainliest plz

Answers

Answer:

8.5 is correct answer i read a diffrent question did a diffrent problem its 8 and a half not 0.85 that would be a very small e-reader

Which number line represents the solution set for inequality?​

Answers

Answer:

Which number line represents the solution set for inequality?

c.

Find four consecutive integers such that 8 times the sum of the first and the third is 40
greater than 10 times the fourth.

Answers

The consecutive integers are 9,10,11,12.

very confusing , help me out please ...?

Answers

Step-by-step explanation:

[tex] \sqrt{7} = {7}^{ \frac{1}{2} } = \sqrt{7} [/tex]

Mark is trying to create a triangle. He uses the measurements 5cm, 3cm, and 7cm. Did Mark make a triangle?
A. Yes
B. No

Answers

Answer:

Yes

a triangle is any three sided figure, so yes he did

Step-by-step explanation:

please halpppppppppppppp i will mark you brainliest

Answers

Answer:

24n = 312 is the correct equation

Answer:

The top one

Step-by-step explanation:

y+0.4=5.34

y=5.34 - 0.4

y=4.94

pls help asap!!!!!!!!!!! points will be a lot! plssssss

Answers

Step-by-step explanation:

(n-m) out of n

not sure if this is correct or something....

Answer:

1 - m/n

n-m/m

Step-by-step explanation:

Two events are said to be complementary when one event occurs if and only if the other does not. The probabilities of two complimentary events add up to 1.

Please help!!! Im very confused, giving brainleist

Answers

yellow equals 13
blue equals 43
Top 13 bottom 43 I’m pretty sure

7. QR =
8. Z
P
24x - 2
Q 6x +14 R
102
->

Answers

Answer:

7Q ^12

Step-by-step explanation:

Porque se se suman la cuestione y porque solo me estás pagando con cinco puntos

How? (2x^2 - 3x - 4)(x + 7)

Answers

Answer:

[tex]2 {x}^{3} + 11{x}^{2} - 25x - 28[/tex]

Step-by-step explanation:

Using foil method, Multiply the first term

[tex]2 {x}^{2} \times x = 2 {x}^{3} [/tex]

Next, Multiply the Outer term in each parenthesis. (2x^2 and 7

[tex] 2 {x}^{2} \times 7 = 14 {x}^{2} [/tex]

[tex] 2 {x}^{2} \times 7 = 14 {x}^{2} \: \: \: 3x \times - x = - 3x[/tex]

Then, Multiply the Inner Terms (-3x,-4,7) in each parenthesis

[tex] - 3x \times 7 = - 21x[/tex]

[tex] - 4 \times x = - 4x[/tex]

Then multiply the last term (-4 and 7).

[tex] - 4 \times 7 = - 28[/tex]

Combine it you have

[tex]2 {x}^{3} + 14 {x}^{2} - 3 {x}^{2} - 21x - 4x - 28[/tex]

which simplify to

[tex]2 {x}^{3} + 11 {x}^{2} - 25x - 28[/tex]

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