A is the point (5, 7) and B is the point (9, -1)" Find the equation of the line AB

Answers

Answer 1

Answer:

Step-by-step explanation:

The standard form of an equation for a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).

We can calculate the slope from the two given points, A(5,7) and B(9,-1).

Slope is Rise/Run, where Rise is the change in y and Run is the change in x.

From the two given points, starting at (5,7) and going to (9,-1):

Rise = (-1 -7) = -8

Run = (9-5) = 4

Rise/Run (slope) = -8/4 or -2

The equation becomes y = -2x + b

We can find b by entering either of the two given points and solving for b. I'll pick (5,7):

y = -2x + b

7 = (-2)*(5) + b

7 = -10 + b

b = 17

The equation is y = -2x + 17

Check this with a DESMOS graph (attached).

A Is The Point (5, 7) And B Is The Point (9, -1)" Find The Equation Of The Line AB
Answer 2

The equation of line AB is y= -2x +17

What is slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given:

Points A(5, 7) and B(9, -1)

So, slope for the equation is

sloe= (-1 - 7)/ (9- 5)

slope = -8/ 4

slope= -2

Now, using slope- intercept form

y - b = m ( x- a)

y - 7= -2( x - 5)

y- 7 = -2x + 10

y= -2x + 17

Hence, the equation of line AB is y= -2x +17

Learn more about slope here:

https://brainly.com/question/3605446

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Related Questions

Kirk has already prepared 16.27 kilograms of dough and will continue preparing 5.88 kilograms of dough every hour. How many hours did Kirk work if he prepared 80.95 kilograms of dough

Answers

Answer:

11 hours

Step-by-step explanation:

First, you need to subtract 16.27 from 80.95 to get how many kilograms of dough he had prepared in that amount of time. 80.95-16.27=64.68. Then you would divide 64.68 by 5.88 to find the total amount of hours he worked. 64.68/5.88=11 hours of work.

Graph the equation and identify the intercept(s). If the equation is linear, find the slope of the line.

4. 2x - 3y = 6
5. y = 4.5
6. y = | x - 1 | -2

Answers

Answer:

Graphs shown below.

4.) x-intercept: (3,0)  y-intercept: (0,-2)  slope: 2/3

5.) x-intercept: none  y-intercept: (0,4.5)  slope:0

6.) x-intercept: (3,0) and (-1,0)  y-intercept: (0,-1)   slope: none

#4 is blue graph, #5 is green graph, #6 is red graph

Step-by-step explanation:

** #4 is blue graph, #5 is green graph, #6 is red graph **

ben put £1000 into a savings account. the interest rate was compound at 0.65% per year. at the end of x years he had made £53.20 in interest show that x=8

Answers

Answer:

Below.

Step-by-step explanation:

Using PRT/100 = I, we can prove that x = 8.

=> 1000 x 0.65 x 8/100

=> 10 x 0.65 x 8

=> 6.5 x 8

=> £52

Unfortunately, something is wrong with the question. Please re-check the question to make sure it is right. I have tripled checked my answer and it is right.

Increase 1000 in the ratio 2:5

Answers

Answer:

1400

Step-by-step explanation:

2/5×1000=400

1000+400=1400

Step-by-step explanation:

Let the new quantity be x.

x:1000=2:5

x/1000=2/5

(multiply both side by 1000)

[tex]1000 \times \frac{x}{1000} = 1000 \times \frac{2}{5} [/tex]

[tex]x = 400[/tex]

a lake has an area of 63800000000 square meters.

write this area in square kilometers, correct to 2 significant figures​

Answers

Answer:

64,000 (2 s.f)

Step-by-step explanation:

1 km is 1000 metres

so, 1 km² = 1000 x 1000 m²

i.e. 1 km² = 1,000,000 m²

=> 63,800,000,000/1,000,000 = 63,800

The second significant figure is 3 --> 3000

so, to the nearest 1000 we have 64,000 (2 s.f)

Hope it help and if it is correct please give brainliest

Thank You

Triangle IJK has the coordinates listed:
Where is J' after a reflection over the y-axis?

Answers

Answer:

J' (- 10, - 8 )

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

J (10, - 8 ) → J' (- 10, - 8 )

Answer:

(-10, -8)

Step-by-step explanation:

The rule for a reflection over the y -axis is (x, y)→(−x, y) .

so J(10, -8) becomes J'(-10, -8)

Calculate the exact value of 0.428 ×2.75

Answers

[tex]0.428 ×2.75 = 1.177[/tex]

- BRAINLIEST ANSWERER

8) What are the measures of angles x, y, and z?

Answers

Step-by-step explanation:

y=55°(corresponding angles are equal)

x=55°(alternate angles are equal).

z+55°=180°

=180-55=z

z=125°

Answer:

x = y = z = 55°

Step-by-step explanation:

x = 55° (vertical angles)

y = 55° (corresponding angles)

z = 55° (corresponding with x -> z = x)

Miko filled two tanks with water. The ratio of the amount of water in Tank A to Tank B is 3 : 2. The total amount of water in both tanks is 210 ℓ. How much water must Miko pour from Tank A into Tank B so that both tanks have the same amount of water?

Answers

Step-by-step explanation:

answer is in the above picture

Dave owns 15 shares of ABC Mining stock. On Monday, the value of
each share rose $2, but on Tuesday the value fell $5. What is the
change in the value of Dave's shares?
To travol tho
Write an expression to represent.

Answers

Answer:

15(2) + 15 (-5) . #45 drop

Step-by-step explanation:

Help me please!! This is timed and I’m stuck

Answers

Answer:

B 13/2

Step-by-step explanation:

2x² + 7x - 15 = 0

First we want to find the two solutions

We can do this by using the quadratic formula

Quadratic formula:

[tex] \frac{- b + or - \sqrt{b {}^{2} - 4(a)(c)} }{2(a)} [/tex]

Where the values of a,b and c are derived from the equation.

The equation is put in ax² + bx + c = 0 form

2x² + 7x - 15 = 0

so a = 2, b = 7 and c = - 15

We now plug these values into the quadratic formula

(-(7) + or - √7² - 4(2)(-15) ) / 2(2)

first solution: -(7) + √7² - 4(2)(-15) ) / 2(2)

remove parenthesis on 7

(-7 + √7² - 4(2)(-15) ) /2(2)

Apply exponents 7²

(-7 + √49 - 4(2)(-15) ) /2(2)

Multiply -4,2 and -15

(-7 + √49 + 120 ) / 2(2)

add 49 and 120

(-7 + √ 169 ) / 2(2)

Take square root of 169

(-7 + 13 ) / 2(2)

add 13 and -7

6/2(2)

multiply 2 and 2

= 6/4

The first solution is 6/4 or 1.5

Now the second solution: -(7) - √7² - 4(2)(-15) ) / 2(2)

For the second solution we basically go through the same steps as for finding the first solution, the only difference is instead of adding -b and √b² - 4(a)(c) we are subtracting.

So we would have ( -7 - 13 ) / 2(2) instead of (-7+13)/2(2)

So second solution: ( -7 - 13 ) / 2(2)

subtract 13 from -7

-20/2(2)

multiply 2 and 2

-20/4

divide

The second solution is -5

Now that we have found the solutions we want to find r - s if r and s are the solutions to the equation and that r > s

The two solutions are 6/4 and -5.

6/4 > -5 so we know that r must equal 6/4 and s must equal -5 because r has to be greater than s

So if r = 6/4 and s = -5

Then r - s = 6/4 - (-5) = 6/4 + 5 = 13/2

So the answer is B. 13/2

a. Why does the provided equation support the fact that there is a horizontal asymptote of F(x) that is not
on the x-axis?
(ax-3)(x-2)divide2(x+3)(x-2)
Y=-2 is a horizontal asymptote

Answers

Applying limits, it is found that since [tex]a \neq 0, \frac{a}{2} \neq 0[/tex], and hence the horizontal asymptote is not y = 0, thus not being on the x-axis.

The function is given by:

[tex]F(x) = \frac{(ax - 3)(x - 2)}{2(x + 3)(x - 2)}[/tex]

The horizontal asymptote is the limit of the function as x goes to infinity, hence:

[tex]y = \lim_{x \rigtharrow \infty} F(x) = \lim_{x \rigtharrow \infty} \frac{(ax - 3)(x - 2)}{2(x + 3)(x - 2)}[/tex]

Considering only the terms with the highest exponents:

[tex]y = \lim_{x \rigtharrow \infty} \frac{ax^2}{2x^2} = \frac{a}{2}[/tex]

Since [tex]a \neq 0, \frac{a}{2} \neq 0[/tex], and hence the horizontal asymptote is not y = 0, thus not being on the x-axis.

For more on horizontal asymptotes and limits, you can check https://brainly.com/question/11598999

True or false: The relationship among the triple constraint variables is such that if any one changes, at least oneother is likely to be affected.

Answers

We want to see if the statement "The relationship among the triple constraint variables is such that if any one changes, at least one other is likely to be affected." is true or false. This is true.

A relationship among the triple constraint variables is written as:

y = f(x, z)

Where the 3 variables are x, y, and z and represent cost, scope, and time.

This means that if either x or z changes, also does y.

And we always can rewrite the relationship in two other forms:

x = g(z, y)

z = h(x, y)

Then we can see that always that one variable changes, at least one other variable changes in response, then the statement is true.

If you want to learn more, you can read:

https://brainly.com/question/25368922

Please 10 points for one question
Please don’t answer if you don’t know

Answers

Answer:

answer is 60° hope it will help you

Scored 12 out of 39 in the test work out the percentage

Answers

30.8%

I did 12/39 in my calculator and got .308 then multiplyed by 100 to get 30.8%

factorize the expression below pls help giving brainliest

Answers

Answer:

See answer below

Step-by-step explanation:

2b(2ab)² - a(2b²)² = XaY³(z - b)

[tex]2b(2ab)(2ab) - a(2b^2)(2b^2) = XaY^3(z-b)[/tex]

[tex]8a^2b^3 - 4ab^4 = XaY^3(z - b)[/tex]

[tex]4ab^3(2a-b) = XaY^3(z - b)[/tex]

X = 4

y = b

z = 2a

Luke was trying to expand his game collection. He bought six games from a friend and
bought fifty more at a garage sale. If twenty-five of the games didn't work, how many
good games did he end up with?

Answers

Answer:

he would end up with 25 good games left

Answer: the answer is 31!

Step-by-step explanation: add 6 plus 50 to get 56 then subtract 25 to get 31!

please help me I really need help

Answers

1) 300 squared cm

2) 105 squared cm

3) about 165.75 squared cm

4) about 211.4 squared cm

Two parallel chords PQ and MN are 3 cm apart on the same side of a circle where PQ = 7 cm
and MN = 14 cm. Calculate the radius of the circle.

Answers

https://www.algebra.com/algebra/homework/Circles/Circles.faq.question.407869.html

35-2x4 to the 2 power

Answers

Answer:

I belive the answer is 3.

Step-by-step explanation:

35-2x4^2

35-2x16

35-32

3

Answer:

[tex]1225-140x^4+4x^8[/tex]

Step-by-step explanation:

(35-2x^4)^2 is a form of [tex](a-b)^2=a^2+b^2-2ab[/tex]

Applying this formula, we get 1225+4x^8-140x^4

STATION 5 ! GIVING BRAINLIEST TO WHOEVER ANSWER W AN GREAT EXPLNATION<3

Answers

Answer:

a.

Step-by-step explanation:

Answer:

A, B, E

Step-by-step explanation:

I just put the number of fiction books over the number of nonfiction books. Then I plugged it into a calculator and if the answer was the same as 15/22, then it was right!

2385/3498=15/22

3945/5786=15/22

2340/3588≠15/22

2480/3410≠15/22

4650/6820≠15/22

2310/3696=15/22

This and one more question, it’s now going to be put at much more points

Answers

Step-by-step explanation:

Number of stickers Rafael has left

= [tex]100 - 6s[/tex]

Substitute [tex]s = 7[/tex]into the expression.

[tex]100 - 6(7)[/tex]

= [tex]100 - 42[/tex]

= [tex]58[/tex]

A leaky pipe drips 2 fluid ounces of water per hour. How many cups of water does it leak in 2 days? Remember that 8 fluid ounces = 1 cup

Answers

Answer:

12 cups

Step-by-step explanation:

There are 48 hours in two days.

48 · 2 = 96 ( 2 being fluid ounces per hour )

96 ÷ 8 = 12 ( 8 being fl oz in each cup )

I hope that this helped!!!

HELP PLZZ!!!!!
Find x.

Answers

Answer:

6.1

Step-by-step explanation:

So you would use tan as u are looking for the opposite and already have the adjacent.

tan(22) x 15 = 6.06 or 6.1

Answer:

x = 6.06

Step-by-step explanation:

tan (22°) = x/15

0.404 = x/15

x = 6.06

variables combining like terms
16. x+3
17. 5y+3
18. x+5y-5

Answers

Answer:

16.3x

17. 8y

18.x+y

I thing these are the answers of these equations

x + 3 is not the same as 3x

Fill in the blank

Never gonna ____ ___ ___, Never gonna let you down, Never gonna run around and _____ you.

Answers

Answer:

give you up desert you

Step-by-step explanation:

give you up desert you

Answer:

NEVER GONNA GIVE YOU UP

AROUND AND DESERT YOU

Extra for fun: NEVER GONNA LET YOU CRY NEVER GONNA SAY GOODBYE (i think)

Step-by-step explanation:

Just is correct trust me exept the extra extra im not fully sure

what is the answer??????​

Answers

1. D 2. A



have a good day

Answer:

1) ⅓

2) ⅓

Step-by-step explanation:

1)  The repeating decimal, 0.333333.., is the same as when simplified.

If we express 0.333333...  as a fraction to the nearest hundreths:  [tex]\frac{33}{100}[/tex], and 33 is a third of a hundred, which is ⅓.    

Therefore, the fraction form of 0.333333... is ⅓.

2) In order to determine the product of 4/6 and 2/4, simply multiply the numerator of both fractions together. Similarly, do the same for both denominators.

[tex]\frac{4}{6}[/tex] × [tex]\frac{2}{4}[/tex] = [tex]\frac{4 * 2}{6 * 4} = \frac{8}{24}[/tex]

Next, simplify [tex]\frac{8}{24}[/tex] by dividing it with [tex]\frac{8}{8}[/tex]:

[tex]\frac{8}{24}[/tex] ÷ [tex]\frac{8}{8}[/tex] =

Therefore, the product of [tex]\frac{4}{6}[/tex] and [tex]\frac{2}{4}[/tex] is  ⅓.

Which place value first determines which of the numbers 6.399 or 6.400 is the larger number?
thousandths
hundredths
tenths
ones

Answers

Comparing the numbers, it is found that the tenths value first determines which of the numbers 6.399 or 6.400 is the larger number.

The decimal numbers are 6.399 and 6.400.

The ones value for each is 6.For the first value, the tenths digit is of 3, while for the second is of 4.

The tenths digit is the first in which there is a difference, hence, it determines which of the numbers 6.399 or 6.400 is the larger number.

A similar problem is given at https://brainly.com/question/17248958

Determine if the table represents a linear function, quadratic function, or exponential function.

Answers

Answer:

Quadratic

Step-by-step explanation:

Formula: ax^2+bx+c

How can coordinate proof be used to show segments are congruent?

Answers

Answer:

The coordinate proof is a proof of a geometric theorem which uses ... and/or y -axis until it does.) To Prove: ¯XY is parallel to ¯PR and. XY=12PR. Proof:.

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