The equation Ax + By = 14 goes through the coordinates (-7, -4) and (14, 2).
What are the values of A and B?

Answers

Answer 1

Answer:

A=-6

B=7

Step-by-step explanation:

We want to solve for the values of A and B.

let us substitute the values of the coordinates, that is x and y into the expression and obtain the two equations.

then we solve simultaneously

-7A-4B=14---------1

14A+2B=14--------2

-14A+-8B=28---------3

14A+2B=14------------2

0-6B=42

6B=42

B=42/6

B=7

put B=7 in eqn 1 we have

-7A-4(7)=14---------1

-7A-28=14

-7A=14+28

-7A=42

A=42/-7

A=-6

Answer 2

The values of A and B are 3 and -7 respectively

In order to determine the values of A and B,

First, we will determine the equation of the line passing through the coordinates (-7, -4) and (14, 2).

Using the formula for determining the equation of a line with two given points,

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

From the question

x₁ = -7

y₁ = -4

x₂ = 14

y₂ = 2

Putting these values into the equation,

We get

[tex]\frac{y--4}{x--7} =\frac{2--4}{14--7}[/tex]

∴ [tex]\frac{y+4}{x+7} =\frac{2+4}{14+7}[/tex]

[tex]\frac{y+4}{x+7} =\frac{6}{21}[/tex]

This becomes,

[tex]6(x+7) = 21(y+4)[/tex]

Clearing the brackets

[tex]6x + 42 = 21y + 84[/tex]

Then,

[tex]6x -21y = 84 -42[/tex]

[tex]6x -21y = 42[/tex]

Dividing through by 3

We get

[tex]3x - 7y = 14[/tex]

∴ The equation of the line that goes through the coordinates (-7, -4) and (14, 2) is [tex]3x - 7y = 14[/tex]

Now, we will compare the above equation to the equation given.

The given equation is Ax + By = 14

By comparing

A = 3 and B = -7

Hence, the values of A and B are 3 and -7 respectively

Learn more here: https://brainly.com/question/21967006


Related Questions

The cost of making a phone is $152. A store sells the phone for $281.20 select all the the expressions that could be used to find the percentage of markup for the ohone

Answers

Answer:

[tex]\frac{100 * (281.20 - 152)}{152}[/tex][tex](\frac{281.20}{152}-1 ) * 100[/tex]

Step-by-step explanation:

The above two expressions can be used to find the percentage of mark-up for the phone.

The first expression for instance will give;

[tex]= \frac{100 * (281.20 - 152)}{152}\\\\= \frac{12,920}{152}\\\\= 85[/tex]

= 85%

The second expression will give;

[tex]= (\frac{281.20}{152}-1 ) * 100\\\\= 0.85 * 100\\\\= 85[/tex]

= 85%

Both of them will show that an 85% mark-up has been added to the cost of the phone.

Please help with question plaaseeee

Answers

Answer:

Yes it is.

Step-by-step explanation:

The graph is proportional because

it is in a straight line in the graph.

Hope this helps! <3

!!!TIME LIMIT PLZ HURRY!!!Which describes the relationship between <1 and <2?

Answers

Answer:

adjacent

Step-by-step explanation:

this just means they are next to each other, like they share a ray

Answer:

they are adjacent

Step-by-step explanation:

Adjacent means they are next to each other; and both these angles are right beside each other

Tabithas living room is rectangle that measures 19 3/4ft by 12ft find the perimeter and the area of the room

Answers

Answer:

237ft²

63.5ft

Step-by-step explanation:

Given parameters:

  Length  = 19[tex]\frac{3}{4}[/tex] ft

   Width  = 12ft

Unknown:

Area of rectangle  = ?

Perimeter of rectangle  = ?

Solution:

Area of rectangle  = length x width

                              = 19[tex]\frac{3}{4}[/tex] x 12

                               = [tex]\frac{79}{4}[/tex] x 12

                               = 79 x 3

                              = 237ft²

Perimeter of rectangle  = 2(length + width)

                                      = 2 (19.75 + 12 )

                                     = 63.5ft

What is 11/9 as a decimal?

Answers

1.2

hope this helped:))

you could put a - over the 2 to show it continues because it’s 1.22222222 and so on

help im confused..........

Answers

Answer:

rvefncoqjefadsNofvewnvfeeljjnfvqe

Step-by-step explanation:

fdcopjsfddcaxjefwpojdsjandipewhhqdaspcixpjewfs;odkcnewoasjjncikkjasn;kcjnnsixjfiasxhcjnsdaxo[okckiefihihehabficphbkjckd khksdk a help me

Answer:

lol im confused aswell

Step-by-step explanation:


What is the least common denominator of 2/3, 1/6 and 11/12

Answers

Answer:

2/3 = 8/12

1/6 = 2/12

11/12 = 11/12


I need help with 15-19 plz

Answers

Here,

g (x) = -3x + 1

then ,

g(10) = -3 (10) + 1

= -30 +1

= - 29

Again,

g(-6) = -3 (-6) + 1

= 18 + 1

= 19

Complected *******

Thank me later.

What is the ratio of 20 praise and 2000 rupees

Answers

1:100 because 20 divide by 20=1 and 2000 divide by 20 =100

Answer:

1 rupee=100 paisa

so, 20 paisa:2000 rupees

=>20 paisa:2000×100

=>1:10000.

An object is moving at a speed of 6 miles per month. Express this speed in feet per hour.

Answers

Answer:

44 ft/hr

Step-by-step explanation:

First, we convert miles to feet.

6 mi*5280 = 31680 feet

Now we convert a month to hours. For this question, lets say that a month is equal to 30 days.

30*24 hrs = 720 hrs

Now we have this speed -

31680 ft/720 hrs

Now we simplify this to -

44 ft/hr

So in conclusion, the speed of 6 miles per month is equivalent to the speed of 44 feet per hour.

Find the unit rate for each of the following tables

Answers

Answer:

First table's unit rate is -1.6

Second table's unit rate is  3.5

Step-by-step explanation:

First table:

[tex]\Delta y/\Delta x =(-16--8)/(10-5)= -8/5[/tex]

and this is constant for any pair of (x, y) values of the table.

So the unit rate is: -8/5 = -1.6

Second table:

[tex]\Delta y/\Delta x =(21-7)/(6-2)=14/4=7/2[/tex]

and the rate is constant for any pair of (x, y) values of the table.

So the unit rate is: 7/2 = 3.5

The question I need help in is the middle one. PLEASE I NEED ANDWER ASAP!

Answers

Answer:

3.25

Step-by-step explanation:

I plugged in 5 for x and got 3.25 when I solved

Which expression is equivalent to i233?

Answers

Answer:

radical sign of -233

Step-by-step explanation:

Answer:

Step-by-step explanation:

We have to find the value of the expression i^{233}i

233

We know that the below values.

i

2

=−1

i

4

=1

Hence, in order to find the value of the given expression, we can first rewrite it in terms of i^4i

4

i^{233}=(i^4)^{58}

233

=(i

4

)

58

⋅i

Now, we know that i^4=1i

4

=1

Hence, we have

i^{233}=(1)^{58}

233

=(1)

58

⋅i

i^{233}=

233

=1⋅i

i^{233}=ii

233

=i

Given the function d (t) = 50t, the variable t represents which of the following
Output
Independent variable
Function
Input
Depended variable

Answers

Answer:

The input of the function

Step-by-step explanation:

the missing number in the series?
4, 18, ?, 100, 180, 294, 448
A) 48
B) 50
C) 58
D) 60

Answers

A)48

Explanation:

2^3 - 2^2 = 8 - 4 = 4
3^3 - 3^2 = 27 - 9 = 18
4^3 - 4^2 = 64 - 16 = 48
5^3 - 5^2 = 125 - 25 = 100
6^3 - 6^2 = 216 - 36 = 180
7^3 - 7^2 = 343 - 49 = 294
8^3 - 8^2 = 512 - 64 = 448

help please !!!!!!!!!!!!!

Answers

Answer:

f(4)= -10

If g(x) =2, then x=0

Step-by-step explanation:

This need help jxb...

Answers

2x, the second answer because the y intercept is 0 and it goes up 2 over 1!!

Answer:

That would be y = 2x.

Helppp me plssss! ASAP

Answers

Answer:

140 ft.

Step-by-step explanation:

first find the area of the rectangle

16 x 8 = 128

Area: 128

then find the area of the triangle

Base: 4

Height: 6

Area: 12

Then all u need to do is add

12 + 128 = 140

what is 2/16 as a decimal

Answers

2/16 as a decimal is 0.125

Aniya is helping her father paint a fence. She can paint 2 sections of the fence in 15 minutes. How many minutes will it take Aniya to paint 12 sections of the fence.

Answers

Answer:

90 minutes

Step-by-step explanation:

Since 15 divided by 2 is 7.5, it takes 7.5 minutes to paint 1 section. 7.5 times 12 is 90, meaning that is takes 90 minutes for her to paint 12 sections.

Sofia is creating a budget to save $120 for a week of soccer camp. She earns money by working as a mother's helper on Saturday mornings and Wednesday afternoons. She earns $20 each time she works. She wants to save $7.50 a week for the camp. Her mother wants her to save $5 a week for college. She is planning on spending $5 a week for snacks and $5 a week for entertainment.

Answers

Answer:

18 weeks

Step-by-step explanation:im gay

The following is the prime factorization of which composite number? 2 to the 2nd power times 3 to the 2nd power times 5

120
60
20
180

Answers

2 to the 2nd power times 3 to the second power times 5

4 X 9 X 5 = 36 X 5 = 180

so the answer is 180


hope this helps

With the money she had saved by working, Jennifer wanted ​

Answers

Answer:a car

Step-by-step explanation:

PLEASE HELP,, thank you so much if you do
i’m really confused on how to answer this question could anyone who understands this please help me
i’ll give brainliest

Answers

Answer:

(x)^2+(5)^2=(9)^2

Step-by-step explanation:

(a)^2+(b)^2=(c)^2

(x)^2+(5)^2=(9)^2

x^2+25=81

-25 -25

x^2=56

x=28

p.s. this ^2 means squared

Let z = 9 – 2i and zw = 25 + 70i.

What is w?

1 + 8i
1 – 8i
–1 + 8i
–1 – 8i

Answers

Answer:

1+8i

Step-by-step explanation:

Given, complex numbers z = 9 – 2i and zw = 25 + 70i. w = 1 + 8i.

What are complex numbers?

In mathematics, a complex number is an element of a number system that contains the real numbers and a specific element denoted i, called the imaginary unit, and satisfying the equation i² = −1.

= (9 - 2i)(1 + 8i)

= 9 + 72i - 2i -16i^2

= 9 + 70i + 16  (i^2 = -1)

= 25 + 70i

Learn more about complex numbers here

https://brainly.com/question/10251853

#SPJ2

Find the area of the circle look no

Answers

Area of a complete circle is area = pi x r ^2

Area = 3.14 x 4^2

Area = 3.14 x 16

Area = 50.24 square units.

1/4 of the circle is missing, so multiply the area of the full circle by 3/4:

50.24 x 0.75 = 37.68 cubic units.

how to simplify 2a³ × a⁴​

Answers

Add the exponents since it’s multiplication, so it would be 2a^7, hope this helps

Answer:

2a⁷

Step-by-step explanation:

you have to add 3 to 4

Write the product using exponents.
(-4).(-4).(-4).y.y

Answers

The product would be -64y^2

Answer:

(-4)^3 * y^2

Step-by-step explanation:

hope it helps.

n= 9c-80 solve for c. if n= 19 what is the value of c?

Answers

Answer:

Step-by-step explanation:

n = 9c - 80

n = 19

19 = 9c - 80

-9c = -80 - 19

-9c = -99

c = 99 / 9

c = 11

Hope this helps

plz mark as brainliest!!!!!!

what is the value of x,if x=9-9/4​

Answers

Answer:

X=6 3/4

Step-by-step explanation:

IF X=9-9/4(X=9-2 1/4) THEN X=6 3/4. HOPE THIS HELPS

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