A line passes through point (8,-9) and has a slope of
5/4
Write an equation in Ax+By = C form for this line.
Use integers for A, B, and C.

Answers

Answer 1

9514 1404 393

Answer:

  5x -4y = 76

Step-by-step explanation:

The point-slope form of the equation for a line is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

For the given point and slope, this equation is ...

  y -(-9) = 5/4(x -8)

Multiplying by 4 gives ...

  4y +36 = 5x -40

Subttracting 4y and adding 40 puts this into the desired form.

  5x -4y = 76

A Line Passes Through Point (8,-9) And Has A Slope Of5/4Write An Equation In Ax+By = C Form For This

Related Questions

What transformations take place by graphing the function below in respect to its parent function? Check all that apply.

Answers

Answer:

- Vertical Stretch

-Left 7 Units

-Up 2 units

Step-by-step explanation:

Because the formula is being multiplied by a number larger than 1, it is being vertically stretched. In this problem, it is being vertically stretched by a factor of 3/2.

When X is being added to in the parenthesis, it causes the graph to shift to the left. Since the equation has (X+7), the graph shifts left by 7 units.

When a number is added to the equation, it causes the graph to shift upwards. In this example, 2 is being added, therefore, the graph shifts upwards by 2 units.

That means there is a vertical stretch by a factor of 3/2, a horizontal translation left 7 units, and a vertical translation up 2 units

Which values from the set (-6,-4,-2,0,2,4,6) Satisfy this inequality? 3+1/2x>4

Answers

Answer:-6 and -4

Step-by-step explanation:

Provide the missing statement and reasons for the following proof: Given: 9(x−6)+41=75Prove: x=889

Answers

Answer:

Reason 1 ) Subtraction Property of Equality

Reason 2 ) Substitution Property of Equality

Statement 3 ) 9x - 54 = 34

Reason 4 )  Addition Property of Equality

Reason 5 )  Division Property of Equality

Step-by-step explanation:

(x^2 + kx + 10) ÷ (x - 1) has a remainder of 4.
I have no idea how to do this, I've tried Synthetic division, remainder theorem etc. and cant figure it out.

Answers

9514 1404 393

Answer:

  k = -7

Step-by-step explanation:

Attached are both synthetic division and remainder theorem solutions. Either way, you find the remainder is k+11, which you want to have a value of 4.

  k +11 = 4

  k = -7 . . . . . subtract 11 from both sides

_____

The second attachment shows the long division that validates this result.

6+(-4 3/4)+(-2 1/8)
Fraction in simplest form

Answers

Answer:

6-43/4-21/8

6(-68-21/8)

48-107/8

-59/8

f(5)-f(3) = x^2+7x-22

Answers

Answer:

your answer is going to be -158

Step-by-step explanation:

(5)-(3)^2+7×-22=-158

write (4y^4)^2 without exponents ​

Answers

Answer:

(16y)^2

16y^2

--> 256y

Step-by-step explanation:

16y^2

=256y

hope this helped :)

What is the slope of the line represented in the table of values?


A.)9


B.)118


C.)19


D.)18
(PLEASE HELP)

Answers

Answer:

Slope = 9

Step-by-step explanation:

Point (3,27) and (5,45)

m = (45-27)/(5-3)

18/2 = 9

Answer:

9

Step-by-step explanation:

To find the slope of a line, one of the methods is to look for the rise over run, or the change in y over the change in x. If we just look at the first few numbers on the chart, we can see that the change in y (for the first two numbers) is 18, and the change in x (for the first two numbers) is 2. So our slope is 18/2, or 9.

I think this is correct, I hope it helped!! :3

In a certain university, there was a certain number of students who attended the general orientation. The number of male students was five times as many as that of female students. When 324 male students left the orientation, the number of female students became twice as many as that of male students. How many students attended the orientation?

Answers

Answer:

fewfefdfgtrusergwer h4yr sfd gw gr.

Step-by-step explanation:

The number of students who attended the orientation in that considered university was 432

How to form mathematical expression from the given description?

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

For this case, first, let we assume the number of male students and female students who attended the orientation:

m = number of male students attending the orientationn = number of female students attending the orientation

From the description, we have:

m = 5 times n = 5n

and

(m - 324)'s twice = n

or 2(m-324) = n

Thus, we get system of two equations as:

[tex]m = 5n\\2(m-324) = n[/tex]

Substituting value of m from first equation in second, we get:

[tex]2(5n - 324) = n\\10n -648 = n\\\\n = \dfrac{648}{9} =72[/tex]

Putting this value of n back in first equation, we get:

[tex]m = 5n = 5 \times 72 = 360[/tex]

Assuming that there were only two gendered students in university orientation (males and females), we get:

Total number of students who attended the orientation = m + n = 360 + 72 = 532

Thus, the number of students who attended the orientation in that considered university was 432

Learn more about system of equations here:

https://brainly.com/question/13722693

what is the length of the diagonal of the rectangle?

Answers

Answer:

C

Step-by-step explanation:

i just added

PLEASE HELP
will mark brainliest

Answers

Answer:

f(x) = x - 2

Step-by-step explanation:

If you notice, the f(x) or y value is 2 less than the x value for every x value listed. This means that x - 2 = y. Just by rearranging this equation, you are given an equation in the linear form y = mx + b:

y = x - 2

Since the y coordinate is being represented by f(x) in the equation, as it is a function, the answer would be:

f(x) = x - 2

Which expression is equivalent to −3(−56) Group of answer choices −157 156 −87 157

Answers

Answer:

D.15r7

Step-by-step explanation:

multiplying two negatives equals a positive: (-)x(-)=(+)

-3rx(-5r^6)

simplifing to

3rx5r^6

then combime like terms to get

15r7

If E is the circumcenter of MNP, find each measure.

Answers

Answer:

NE = 37

MD = 3[tex]\sqrt{65}[/tex]

Step-by-step explanation:

NOTE: This explanation assumes you have basic knowledge of circumcenters, the Pythagorean Theorem, and pre-algebra

Assuming the calculations you so kindly did for us are correct:

To find NE

Simply plug x, which you found was 5, into the equations 13x-28, then you have the length of the line NE, which is 37.

So

NE = 37

To find MD

A little bit trickier, but still simple. You end up having to use the Pythagorean Theorem. Since NE = ME, you know that ME is equal to 37. Since triangle MED is a right triangle, and you're given on the the side ED (which is 28), and the hypotenuse, ME (which is 37), you can say that

28^2 + b^2 = 37^2

784 + b^2 = 1369

b^2 = 585

b = 3[tex]\sqrt{65}[/tex]

(In which b is MD)

So

MD = 3[tex]\sqrt{65}[/tex]

Samuel runs around a 100-meter track. He uses the linear equation y= 200 + 5x to describe how far he runs after he has already Jogged two laps. Which of the following best describes the slope of the linear equation?​

Answers

Answer:

Samuel runs 5 meters per second

Step-by-step explanation:

Find F2 if FX equals X +1 squared

Answers

Answer:

9

Step-by-step explanation:

f(x) = (x+1) ^2

f(2) = (2+1)^2

f(2) = 3^2 = 9

According to national data, about 15% of American college students earn a graduate degree. Using this estimate, what is the probability that exactly 27 undergraduates in a random sample of 200 students will earn a college degree? Hint: Use the normal approximation to the binomial distribution, where p = 0.15 and q = 0.85. (Round your answer to four decimal places.)

Answers

Using the binomial probability relation, the probability that exactly 27 graduates earn a college degree is 0.069

Using the relation :

P(x = x) = nCx * p^x * q^(n-x)

Probability of success, p = 0.15q = 1 - p = 1 - 0.15 = 0.85Number of trials, n = 200X = 27

Probability of exactly 27 graduates can be defined thus :

P(x = 27) = 200C27 × 0.15^27 × 0.85^173

P(x = 27) = 0.0686264

Therefore, the probability of selecting exactly 27 graduates is 0.069

Learn more :https://brainly.com/question/12474772

Adedayo spent 1/5 of his money to buy a Mathematics book and 1/4 of the remainder to buy an English book. What fraction of the original money has Ade left?​

Answers

If Adedayo spent 1/5 of his money to buy a Mathematics book and 1/4 of the remainder to buy an English book. The fraction of the original money Ade left will be 4/5

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that, Adedayo spent 1/5 of his money to buy a Mathematics book and 1/4 of the remainder to buy an English book.

The fraction of the original money Ade left is,

=1-(1/4+1/5)

=1-(1/5)

=4/5

Thus, if Adedayo spent 1/5 of his money to buy a Mathematics book and 1/4 of the remainder to buy an English book. The fraction of the original money Ade left will be 4/5

Learn more about the fraction here:

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#SPJ2

Holly buys a $22 shirt for 20% off. The tax rate in her city is 6.5%. What is the total amount she paid for the shirt? Round to the nearest cent.

A.$2
B.$18.74
C.$24.10
D.$8.50

Answers

The total amount Holla paid for the shirt is: B. $18.74

Given the following data:

Cost of shirt =  $22Discount = 20% Tax rate = 6.5%

To find the total amount she paid for the shirt:

First of all, we would determine the discount on the shirt:

[tex]Discount = \frac{20}{100} \times 22\\\\Discount = 0.2 \times 22[/tex]

Discount cost = $4.4

[tex]Selling\; price = Cost\;price - Discount \\\\Selling\; price = 22 - 4.4[/tex]

Selling price = $17.6

Next, we would determine how much tax is to be paid:

[tex]Tax \;cost = \frac{6.5}{100} \times 17.6\\\\Tax \;cost = 0.065 \times 17.6[/tex]

Tax cost = $1.444

[tex]Total\;amount = selling \;price + tax\;cost\\\\Total\;amount = 17.6 + 1.444[/tex]

Total amount = $18.74

Read more: https://brainly.com/question/13282374

Which of the following is an example of a linear inequality? *

a. 2x - 4 = 6

b. 7x > 3

c. 2x^2 + 3 = 4x

d. x^3 + x^2 - 3 = 0​

Answers

Answer:

It would be B because that is the only answer that contains a inequality symbol.

Step-by-step explanation:

Answer:

Option A is a Linear Pair

Step-by-step explanation:

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable x is 1.

Hope it is helpful....

Find the measure of side IJ

Answers

Answer:

IJ units

Step-by-step explanation:

What else is there..?

keep in mind significant figures. 6.020*0.0510 (use a calculator)

Answers

Answer:

0.30702

Have a good day.

Answer:

0.030567

Step-by-step explanation:

carry on learning

if the equation is x²+y²-12x-10y=-12 what is the center and radius of the equation and give the graph

Answers

Answer:

center (6;5); R=7

Step-by-step explanation:

Step-by-step explanation: Subtract    

12  from both sides of the equation. x 2 − 12 x + y 2 + 10 y = − 12 , Complete the square for  x 2 − 12 x .

I give briniest for the right answer if you don't know the answer don't answer it.

Answers

Answer:

yes, no because it's not a decimal with only one digit in front of the decimal mark, no because the decimal point is too far forward.

A:

i:

5.1 x 10^6

9.75 x 10^10

1.2 x 10^-7

5.008 x 10^-6

ii:

a. 3200000000000

b. 50700

c. 0.00056

d. 0.083

B:

3,2,4,1

1,2,3,4 -ik but it's what i got

1,3,4,2

C:

uranus, neptune, saturn, jupiter

answer choice B

D:

8 x 10^-5

9 x 10^6

3 x 10^-5

7 x 10^-5

5.5 x 10^5

3.2 x 10^5

8.2 x 10^5

7.3 x 10^-3

0.0000832

3120000

0.009

0.0085

8000000

0.05

0.067

57.5

Step-by-step explanation:

PLEASE HELP ITS MATH THANK YOUUUU HURRY

Answers

Answer:

3 miles

Step-by-step explanation:

2 divided by 2 is 1 and 6 divided by 2 is 3.

How would I solve 3 - 1 3/8 = ?

Answers

[tex] \begin{cases}{{ \large{ \blue{ \rm{{↬}}}}}} \: \rm \large \: \: 3 \: - \: 1 \times \frac{3}{8} \\ \\ {{ \large{ \blue{ \rm{{↬}}}}}} \rm \large \: \: \frac{3}{1} \: - \: \frac{11}{8} \\ \\ {{ \large{ \blue{ \rm{{↬}}}}}} \rm \large \: \: \frac{24 \: - \: 11}{8} \\ \\ {{ \large{ \blue{ \rm{{↬}}}}}} \rm \large \: \: \frac{13}{8} \end{cases}[/tex]

Step-by-step explanation:

you first change the mixed fraction into improper fraction after that you find the LCM .1 * 8 will give you 8 so you multiply 8 * 3 to get 24 8 will divide its self once so you will multiply 1 and11 to get 11 and subtract it from 24to get 13/8 and divide.

convert the following numbers from base 10 to base 2
1256
10988

Answers

Answer:

Steps To Convert From Base 10 to Base 2-

Divide the given number (in base 10) with 2 until the result finally left is less than 2.

Traverse the remainders from bottom to top to get the required number in base 2.

Hope this helps you get the answers!

PLS HELP ME WITH THIS QUESTION

Answers

Answer:

-0.88

Step-by-step explanation:

(w^2/x - 3)÷ 10.z

(-6/1.2 - 3)÷ 10. -6/7

(-5-3)÷ 9.14

(-8)÷ 9.14

-8/9.14

= -0.88

What is the area of 4 inches and 1 inches

Answers

4 because 4x1 is 4 so the answer is 4 inches

can u answer this please?
thanks! ☺️

perform the indicated operations and simplify.

Answers

13. 1
14. 6
15. (t+1)
16. 1
17. 1/9
18. 2/b-3
19. k-16/30
20. 6m+6/m^2 - 6m

Is it equal greater or less983.9 9.839

Answers

Answer:

what is the question ❓ i don't understand

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