Write an equation of the line that passes through a pair of points (5, -2) , (4,5)

Answers

Answer 1

Answer:

y = -7x + 33

Step-by-step explanation:

Use the Point Slope Form:  (y - y1) = m(x - x1)

Step 1:  Find the Slope

Slope = [tex]\frac{y2 - y1}{x2 - x1}[/tex]

Slope = [tex]\frac{5 - (-2)}{4 - 5}[/tex]

Slope = [tex]\frac{5 + 2}{-1}[/tex]

Slope = [tex]\frac{7}{-1}[/tex]

Slope = -7

Step 2:  Plug into the point slope form

(y - 5) = -7(x - 4)

y - 5 + 5 = -7x + 28 + 5

y = -7x + 33

Answer:  y = -7x + 33


Related Questions

I am greater than 1/3 but less than 1. My numerator and denominator have a difference of 5 and a product of 24. Who am I?​

Answers

Answer:

Step-by-step explanation:

5/8

Order the numbers from least to greatest. -1/20, -5/8, -1 , and -3/4

Answers

Answer:

The answer is: -1, -3/4, -5/8, -1/20

3 halves times the product of 3 1 fifth

Answers

Answer:  48/10 , if you need it simpflity then its 4 and four fifths ( 4 4/5 )    

If you were calculating the volume of a cube that has a side length of 8 inches, how would you write the calculations in exponential form? What are 2 more ways to read the exponent verbally

Answers

Answer:

[tex] {8}^{3} \: \: eight \: exponent \: 3 \: or \: eight \: raised \: to \: the \: power \: 3[/tex]

Step-by-step explanation:

[tex] {8}^{3} \: \: eight \: exponent \: 3 \: or \: eight \: raised \: to \: the \: power \: 3[/tex]

Marisol is solving the equation 6(x+3)=21. Find her mistake and correct it.​

Answers

Answer:

x = 1/2, See Explanation Below

Explanation:

When you solve the equation, you have to take out the 6 first. The mistake is that you Marisol subtracted from 3 directly instead of factoring the x and the 3 out. Below is what you are supposed to do in order to get the right solution.

Step-by-step for Equation:

6(x+3) = 21

6x + 18 = 21

6x = 21 - 18

6x = 3

x = 3/6

x = 1/2

I hope this helps! If you are kind enough, please give me the brainliest answer. It is greatly appreciated if so. Thank You!

This is step by step for you

6(x+3)=21

6 times X would be 6x

6 time three would be 18

You always wanna do what’s in parentheses first

So now your problem would be 6x+18=21

Now you subtract 18 from 21 to get the 6x by itself and it would look like this now 6x=3

Now divide 6 by itself and by 3 and you would get x=3

eveuinup: 08%
Use simple interest to find the ending balance.
17) $26,000 at 3% for 2 years

Answers

Answer: $27,560

Step-by-step explanation:

Formular for simple interest = PRT

P= 26,000

R=3% = 3/100 = 0.03

T= 2

26,000 x 0.03× 2

= 1,560

Ending balance will be 26,000 + 1,560

= $27,560

what is x
x - 3 = -5

Answers

Answer: x = -2.

Step-by-step explanation:

Answer: x= -2

Step-by-step explanation: Add three to both sides

Another unit cube with the same length, width, and height as the unit cube shown would have the same volume.

Answers

Answer: Yes, if both are the same length width and height, then they would have the same volume.

yes if all are the same it would have the same volume

(−3x − 6)(3x2 − 6x + 3)????

Answers

Answer:

-216

Step-by-step explanation:

(−3x − 6)(3x2 − 6x + 3)

=(18)(6 − 6x + 3)

=(18)(6 − 18)

=(18)(− 12)

= -216

Answer:

-9 • (x + 2) • (x - 1)2

Step-by-step explanation:

(-3x-6)(3x2-6x+3)  

Final result :

 -9 • (x + 2) • (x - 1)2

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2"   was replaced by   "x^2".  

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (-3x - 6) • ((3x2 -  6x) +  3)

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  -3x - 6  =   -3 • (x + 2)  

Step  4  :

Pulling out like terms :

4.1     Pull out like factors :

  (3x2 - 6x + 3)  =   3 • (x2 - 2x + 1)  

Trying to factor by splitting the middle term

4.2     Factoring  x2 - 2x + 1  

The first term is,  x2  its coefficient is  1 .

The middle term is,  -2x  its coefficient is  -2 .

The last term, "the constant", is  +1  

Step-1 : Multiply the coefficient of the first term by the constant   1 • 1 = 1  

Step-2 : Find two factors of  1  whose sum equals the coefficient of the middle term, which is   -2 .

     -1    +    -1    =    -2    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -1  and  -1  

                    x2 - 1x - 1x - 1

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-1)

             Add up the last 2 terms, pulling out common factors :

                    1 • (x-1)

Step-5 : Add up the four terms of step 4 :

                   (x-1)  •  (x-1)

            Which is the desired factorization

Multiplying Exponential Expressions :

4.3    Multiply  (x-1)  by  (x-1)  

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is  (x-1)  and the exponents are :

         1 , as  (x-1)  is the same number as  (x-1)1  

and   1 , as  (x-1)  is the same number as  (x-1)1  

The product is therefore,  (x-1)(1+1) = (x-1)2  

Final result :

 -9 • (x + 2) • (x - 1)2

What is the equation of a circle with center (2,-8) and radius 9?

Answers

Answer:

9^2= (x+2)^2+(y+8)^2

Step-by-step explanation:

The equation is r^2=(x+h)^2+(y-k)^2

Answer:

x2+y2-4x+16y-13

Step-by-step explanation:

center (h,k)=2,-8

radius(r)=9

we know

(x-h)2+(y-k)2=r2

now insert above given information

(x-2)2+(y+8)2=9×9

Answer please i will give 10 points and mark brainiest

Answers

Answer: 320 , 112, 432

Step-by-step explanation:

Volume of Rectangular Prism= 4 * 8 * 10

= 32*10

= 320 ft cubed

Volume of triangular prism= 4 * 7 * 8

= 28 * 8

= 224

= 224 divided by 2

= 112

Volume of composite= 112 + 320

=  432

A. Quotient
B. Difference
C. Product
D. Sum

Answers

Answer: product

Step-by-step explanation:

product means that you are multiplying

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

What is the perimeter of the isosceles triangle shown below?
A) 27 units
B) 22 units
C) 32 units
D) 24 units

Answers

The perimeter of the isosceles triangle is C) 32 units.

Step-by-step explanation:

Step 1; First, we plot the three ends of the triangle. Assume the bottom left is A, the bottom right is B and the top end is C. The coordinates are;

A = (-6, -2), B = (6, -2) and = C (0, 6). A triangle's perimeter is the sum of its three side lengths. So we need to determine the side lengths of the given sides.

Step 2; To find the distance between A (-6, -2) and B (6, -2), we use the formula

Distance = √ (x2 - x1)² + (y2 - y1)².

Distance between (-6, -2) and (6, -2) where (-6, -2) is (x1, y1) and (6, -2) is        (x2, y2).

Distance = √ (6 - (-6))² + (2 - (-2))² = √ 12² + 0² = √12² = 12 units.

Step 3; To find the distance between C (0, 6) and B (6, -2), we use the formula

Distance = √ (x2 - x1)² + (y2 - y1)².

Distance between (0, 6) and (6, -2) where (0, 6) is (x1, y1) and (6, -2) is         (x2, y2).

Distance = √ (6 - 0)² + (-2 - 6)² = √ 6² + 8² = √36 + 64 =√100 = 10 units.

Step 4; To find the distance between C (0, 6) and A (-6, -2), we use the formula

Distance = √ (x2 - x1)² + (y2 - y1)².

Distance between (0, 6) and (-6, -2) where (0, 6) is (x1, y1) and (-6, -2) is        (x2, y2).

Distance = √ (-6 - 0)² + (-2 - 6)² = √ 6² + 8² = √36 + 64 =√100 = 10 units.

Step 5; The perimeter of the triangle = 12 + 10 + 10 = 32 units, which is option C.

From the elements Li,K,Mg,C,Al,S identify the (a) element belonging to the same group
(b) element which has the tendency to lose two electrons.
(c) element which prefers sharing of electrons to complete its octet
(d) most metallic element
(e) element that forms acidic oxide
(f) element that belongs to group 13

Answers

Answer:

(a) Li and K belongs to the same group.

(b) Mg has the tendency to lose two electrons.

(c) C prefers sharing of electrons to complete its octet.

(d) K is the most metallic element.

(e) S forms acidic oxide.

(f) Al belongs to group 13.

_______________________

(a) Li and K belongs to the same group. (Group 1)

(b) Mg has the tendency to lose two electrons because it has 2 ions in it's outermost shell

(c) C prefers sharing of electrons to complete its octet because it has 6 ions in it's outermost shell need 2 ions to complete octet

(d) K is the most metallic element.

(e) S forms acidic oxide.

(f) Al belongs to group 13.

Find the rate of change of the function
15x - 5y=20

Answers

Answer:

3

Step-by-step explanation:

⇒15x-20=5y

⇒(15x-20)/5=y

⇒3x

The rate of change of the function is 3

m = 3

how to find the rate of change of the function

To find the rate of change of the function 15x - 5y = 20, we need to solve for y in terms of x and then determine the coefficient of x, which represents the rate of change.

Let's solve the equation for y:

15x - 5y = 20

Subtract 15x from both sides:

-5y = -15x + 20

Divide both sides by -5:

y = (15/5)x - 4

Simplifying the equation:

y = 3x - 4

Now we can observe that the coefficient of x is 3. Therefore, the rate of change of the function is 3. This means that for every unit increase in x, the corresponding y-value increases by 3.

Learn more about rate of change  at

https://brainly.com/question/8728504

#SPJ2

how do i write this decimals 56.01 in expanded form

Answers

Answer:  sowwy if im wrong

Expanded Numbers Form:

50

+6

+0

+0.01

Step-by-step explanation:

Expanded Numbers Form:

50

+6

+0

+0.01

Expanded Factors Form:

5*10

+6*1

+0*0.1

+1*0.01

Expanded Exponential Form:

5*101

+6*100

+0*10-1

+1*10-2

The expanded form of 56.01 is 50 + 6 + 0.01.

To write the decimal 56.01 in expanded form, we break down each digit's place value.

56.01 can be expressed in expanded form as follows:

50 + 6 + 0.01

The place values are as follows:

50 (50 is in the tens place, and we can also write it as 5 * 10)

6 (6 is in the ones place, and it is just 6)

0.01 (0.01 is in the hundredths place, and we can also write it as 1/100)

So, the expanded form of 56.01 is 50 + 6 + 0.01.

To know more about decimals   here

https://brainly.com/question/28393353

#SPJ2

Rasie 2 to the 4th power then find the difference

Answers

16 i believe, but you can look it up on google to be sure

What is s in 2m+4s=16 if m=-2

Answers

Answer:

s = 5

Step-by-step explanation:

2m + 4s = 16

Step 1:  Plug in -2 for m

2(-2) + 4s = 16

-4 + 4s = 16

Step 2:  Solve for s

-4 + 4s + 4 = 16 + 4

4s / 4 = 20 / 4

s = 5

Answer: s = 5

Answer:

s= 5

Step-by-step explanation:

s= 5

m= - 2

2m + 4s= 16

Replace the m with the value it is in brackets. Remember brackets mean to multiply.

2(-2) + 4s= 16

-4 + 4s= 16

Carry over the -4 and make s the subject.

4s= 16 - - 4

4s= 16 + 4

4s= 20

s= 20/4

s= 5

Therefore s= 5

To check if the answer was correct, replace the s and m with the value it is in brackets. s= 5; m= 2

2(-2) + 4(5)= 16

-4 + 20 = 16

Therefore s= 5 and the answer is correct!

The ordered pairs below represent a relationship between x and y.

Answers

Answer:

Step-by-step explanation:

There are 25 students who answered a survey about sports. Four-fifths of them like football. How many students like football.

Answers

A fifth of 25 students would be 5 (25/5).

Four-fifths of the students would be the result of (25/5) multiplied by 4.

(25/5)*4

5*4

= 20; 20 students like football.

Answer:

20

Step-by-step explanation:

25 divided by 5 equals 5 then 5 times 4 to get 4/5 which is 20

What is the median house price?
o $750,000
$764,000
$880,000
0 $1,200,000
Submit
Skip
ch
OB W M -​

Answers

Answer: $822,000

Step-by-step explanation:

Median of even numbers is the average of the two middle numbers

Median = $764,000 + $880,000 ÷ 2

= $1,644,000/2

= $822,000

Use the slope formula to find the slope that passes through the points : (-4, 10) and (2,-8)

Answers

Answer:

slope is 9

Step-by-step explanation:

y2-y1 over x2-x1 so you would do -8-10 over 2-4 which would be -18 over -2 and the you devide -18 devided by -2 and you get your answer and it is 9

An item was increased by 20% but then decreased by 25%. Calculate the percentage change and state if it was an increase or decrease.

Answers

Answer:

10% Decrease

Step-by-step explanation:

Let the number is 100.

Now, if we increase the number by 20%, the new number will be -

100 + (100 × 20%) = 100 + 20 = 120

The new number is 120.

Again, if we decrease the new number by 25%, the number will be -

120 - (120 × 25%) = 120 - 30 = 90

The new number is 90.

The change will be decreased by = (100 - 90) = 10

Percentage change = (10 ÷ 100) × 100 = 10%

2. Doug paid $39.95 for dinner. He left a 15% tip for the server. Which of the following is closest to
the tip left by Doug? *

Answers

Answer:

$5.99

Step-by-step explanation:

In this problem, Doug paid the following amount for the dinner:

[tex]p=\$39.95[/tex]

He also left a 15% tip.

Here we want to calculate what is the amount correspondant to the tip.

In order to find this value, we have to calculate the 15% of the value of the dinner, therefore we want to find

the 15% of 39.95$

The percentage (15%) can be rewritten as fraction:

[tex]15\% =\frac{15}{100}[/tex]

Therefore, the amount of the tip is

[tex]t=\frac{15}{100}p[/tex]

And substituting p, we find:

[tex]t=\frac{15}{100}(\$39.95)=\$5.99[/tex]

So, the tip is $5.99.

Answer: 5.99

Step-by-step explanation:

Change % to decimal

Then multiply

15% =.15

39.95 x .15 = 5.99

Rishi is making a map of a remote village. In this village, each hut has a rectangular base measuring

4

m

4 m4, start text, space, m, end text by

6

m

6 m6, start text, space, m, end text.

Move the points on the grid below to draw the base of one of the huts described above.

Answers

The required dimensions of the hut base will be 8 by 12 m.

What is the perimeter of the rectangle?

The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.

The perimeter of a rectangle = 2(L+W)

Where W is the width of the rectangle  and L is the length of the rectangle

We have been given that Rishi is making a map of a remote village. In this village, each hut has a rectangular base measuring 4 m by 6 m.

Move the points on the grid below to draw the base of one of the huts described above.

As shown in the above figure, just move the top two points down two spaces. Two sides take up four, and the other two take up six. we can find that the length of the hut base is 12 m and the width 8 m.

Therefore, the required dimensions of the hut base will be 8 by 12 m.

Learn more about the Perimeter of the rectangle here:

brainly.com/question/15287805

#SPJ5

Find the area of the isosceles triangle with legs 12 and base 17. Simplify all radicals

a2+b2=c2

Answers

Answer:

[tex]Area= \frac{17 \sqrt{865} }{4} \: {units}^{2} [/tex]

Step-by-step explanation:

From Pythagoras theorem,

[tex] {h}^{2} = {12}^{2} + { (\frac{17}{2} )}^{2} [/tex]

[tex]{h}^{2} = \frac{865}{4} [/tex]

[tex]h = \frac{ \sqrt{865} }{2} [/tex]

The area of the isosceles triangle is

[tex]Area= \frac{1}{2} bh[/tex]

[tex]Area= \frac{1}{2} \times 17 \times \frac{ \sqrt{865} }{2} = \frac{17 \sqrt{865} }{4} [/tex]

How would I solve this ?

Answers

1. Use the Multiplication Distributive Property: (xy)^a = x^a y^a

3√6 3√x √y^2

2. Use this rule: (x^a)^b = x^ab

3√6 3√xy^2/3

Four CDs and 4 DVDs cost $164. The cost of the 4 CDs is half the cost of the
4 DVDs. What is the cost of each CD?
Which of the following problems would help you solve the problem above?

Answers

Answer:

Each CD cost $20.50

Step-by-step explanation:

You would divide the cost of the DVDs by 4: 164÷4=41

Now the CDs are half the cost of the DVDs so you would divide 41 by 2: 41÷2=20.50

Your answer would be $20.50

Ruby read 0.85. Of a book what fraction of the book does ruby have left to read? Write in simplest form

Answers

The fraction would be:

Answer: 17/20

Happy to help!!!

Between x = 0 and x = 1, which function has the same average rate of change as y = 3x ? A) y = 8x + 2 B) y = 3x + 2 C) y = 2x D) y = 1 3 -x

Answers

Answer: .

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I did the usatestprep

Other Questions
A compound was determined to have the simplest formula CH2. If the molecular weight of the compound is 70 u, what is the molecular formula of the compound? 1. C5H10 2. C10H5 3. C4H22 4. C4H8 Find the degree of the term 8x^4 What is the length of the unknown leg in the right triangle? A right triangle has a side with length 8 feet, hypotenuse with length StartRoot 73 EndRoot feet, and side labeled a. 3 ft StartRoot 57 EndRoot ft StartRoot 65 EndRoot ft 9 ft Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.2, -4, and 1 3i An oil exploration company currently has two active proj- ects, one in Asia and the other in Europe. Let A be the event that the Asian project is successful and B be the event that the European project is successful. Suppose that A and B are independent events with and . a. If the Asian project is not successful, what is the proba- bility that the European project is also not successful? Explain your reasoning. b. What is the probability that at least one of the two proj- ects will be successful? c. Given that at least one of the two projects is successful, what is the probability that only the Asian project is successful? P(A) 5 .4 P(B) 5 .7 Rope costs $0.65 per foot.How much do 10.8 feet of rope cost? Please help me with these rotation problem. A rectangle is growing such that the length of a rectangle is 5t+4 and its height is t, where t is time in seconds and the dimensions are in inches. Find the rate of change of area, A, with respect to time. Write the routines with the following declarations: void permute( const string & str ); void permute( const string & str, int low, int high ); The first routine is a driver that calls the second and prints all the permutations of the characters in string str. If str is "abc", then the strings that are output are abc, acb, bac, bca, cab, and cba. Use recursion for the second routine. On average, it takes Han Solo 45 seconds to check the coordinates and make the jump into hyperspace. The standard deviation on this important task is 5 seconds. When Han and Chewbacca and their passengers are leaving for Alderaan they make the jump in 33 seconds or less. What is the probability of such an accomplishment? A person in the passenger basket of a hot-air balloon throws a ball horizontally outward from the basket with a speed of 10.0 m/s. What initial velocity (magnitude and direction) does the ball have relative to a person standing on the ground if the hot-air balloon is rising at 6.0 m/s relative to the ground during this throw? medicare and medicaid were part of the _____ system developed during the new deal Why is the Ganges River important to people who believe in Hinduism? A) The Ganges River held off invaders to India in ancient times. B) The Ganges River is sacred and is supposed to hold healing powers. C) The Ganges River allows Hindus to travel freely without persecution. D) The Ganges River plays a role in baptizing new converts to the religion. 24Suppose that $2000 is invested at a rate of 5.1%, compounded semiannually. Assuming that no withdrawals are made, find the total amount after 6 years.Do not round any intermediate computations, and round your answer to the nearest cent. What does avant -garde mean? Johanna agrees to purchase Jessie's land so that she can build a golf course. They write a contract, and Johanna transfers the deed to Jessie. Jessie pays Johanna the entire purchase price. Johanna and Jessie have discharged their contract by: a. breach. b. performance. c. concurrence. d. lapse of time. Jack and Tracy would like to have $10,000 for a down payment on a new condo. A savings account at their local credit union will pay 2% per year compounded monthly. How much should they deposit now in this account to have the down payment in 3 years Its time for the Bizlaw County auction! For each of the auction items listed below, you will (1) determine which type of property the item is and (2) give an identifier that further describes the nature of the item. A. A ring Hugh received from his grandmother several months before she died. B. A motorbike Ned got from the Harley-Davidson store for $53,000. C. A motorless army jeep left on the plot of land Corey bought. D. A pair of high-quality cleats that Candace found on the football field after a game. E. A Sony Walkman that Mary left in her will for her nephew, Zeppelin. F. The lyrics to an unpublished song that famous rapper 11 Nickels gave to his daughter when he retired. Which of the following terms refers to a goal-oriented process that is directed toward ensuring that organizational processes are in place to maximize the productivity of employees, teams, and the organization? career development team strategic management performance management organization development please someone help me !! :(