Complete the equations so that the solution of the system of equations is (−1, −4). y= ?X−11 6x− ? Y=10

Answers

Answer 1

Answer:

y = –7x – 11

6x – 4y = 10

Step-by-step explanation:

From the question given above, we obtained:

x = –1

y = –4

y = ?x – 11 ....... (1)

6x – ?y = 10b......... (2)

Let the two unknown be a and b. Thus the above equation becomes:

y = ax – 11 ......... (3)

6x – by = 10 .......(4)

Next, we shall determine the value of 'a' and 'b'. This can be obtained as follow:

For a:

y = ax – 11

x = –1

y = –4

–4 = a(–1) – 11

–4 = –a – 11

Collect like terms

–4 + 11 = –a

7 = –a

Multiply through by –1

a = –7

For b:

6x – by = 10

x = –1

y = –4

6(–1) – b(–4) = 10

–6 + 4b = 10

Collect like terms

4b = 10 + 6

4b = 16

Divide both side by 4

b = 16 / 4

b = 4

Finally, we shall substitute the value of a and be into equation 3 and 4 respectively.

y = ax – 11

a = –7

y = –7x – 11

6x – by = 10

b = 4

6x – 4y = 10

Therefore, the complete equation are:

y = –7x – 11

6x – 4y = 10


Related Questions

53.53x 10 power of 2

Answers

The answer to your question is 5,353
it is 5353x hopefully this helped

please answer both of these and show or tell me all your work

Answers

Answer:

5. 1:6 2/5

6. 1:5

Step-by-step explanation:

5. each time in the table you multiply H by 6 2/5 ex.

column 4 , 100x6=600, 2/5 of 100 = 40 and the total is 640, so the contant of proprtionality is 6 2/5

6. in the table there is a point on 2:10 and can be simplified to 1:5 so for every minute 5 gallons of water will be used

hope this helps sorry if this inst what your looking for have a blessed day :)

A scuba diver dove 40 feet below the surface. He swam up 12 feet to see a unique fish. He followed the fish down 8 feet. Then he followed the fish up 27 feet. How far below the surface is the diver now?

Answers

Answer: 9 feet below the surface.

Step-by-step explanation:

The scuba diver starts 40 ft below the surface. We can represent the position of the scuba diver as:

Position = -40ft

Where the negative sign is because it is below the surface of the water, so

"He swam up 12 feet to see a unique fish."

Now we need to add 12ft

Then his new position is:

Position = -40ft + 12 ft = -28ft

"He followed the fish down 8 feet.

Now we need to subtract 8ft

His new position is:

Position = -28ft - 8 ft = -36 ft

"Then he followed the fish up 27 feet."

Now we add another 27 ft.

The final position will be:

Position = -36ft + 27ft = -9ft

Then the final position of the scuba diver is -9ft, that means that he is 9 feet below the surface.

please please help, if you could show work too that would be amazing!

Answers

Answer:x=75

Step-by-step explanation:

They are opposite of eachother so they are equal to eachother

2x= 130

x= 75

g/4=6

what does g equal also the g/4 is supposed to be a fraction

Answers

Answer:

1.5

Step-by-step explanation:

G/4=6

Multiply 4 my both sides

G=24

Hope this helps

can somebody help me ? please .. if you answer you’ll get 20 points & brainlyiest if correct! ( sorry i might have spelled brainly wrong )

fiona is building a model car 1/12 scale. the axle of the original car is 6 feet long and has a diameter of 3 inches. what would be the measure of the diameter of the axle of the model car?

// answer choices //
a : 1/4 inch
b : 1/2 inch
c : 1 inch
d : 3/2 inch
( ONLY ONE IS CORRECT ) .
i inserted the image , typed in the question so it should be no complaint please help me! if not it’s okay.. thanks for stopping by if you bypass this without answering .

Answers

Answer: I think it should be a: 1/4 inch

Step-by-step explanation:

Will give random brainliest if 10 users comment or answer and put #brainliest

Answers

Answer:

#brainliest

Step-by-step explanation:

tghfue7hbjdj I o

Answer:

HEY

#brainliest

Step-by-step explanation:

Terry rides his bike to work. It
takes him 40 minutes to go 7
miles. What is Terry's rate per
hour?(** how many minutes in
an hour**)

Answers

Answer:

10.5 is the answer

Step-by-step explanation

[tex]\frac{40}{7}[/tex]=[tex]\frac{60}{?}[/tex]

40x1.5=60

7x1.5=10.5

Answer:

10.5

Step-by-step explanation:

Consider the function below.
5y=18^x+9
Complete the statement below to describe the given function. They y-intercept of the function is (___). The graph of the function initially (___) and then (___).

First blank answers:
(2,0)
(0,2)
(-2,0)
(0,-2)

Second blank answers:
Increases rapidly
Increases slowly
Decreases rapidly
Decreases slowly

Third blank answers:
Increases slowly
Decreases rapidly
Decreases slowly
Increases rapidly

Answers

Answer:

(0,2), increases slowly, increases rapidly

Step-by-step explanation:

I just took the test

Help please and show work

Answers

So the radius is 7 inch which is given
Use the formula for the circumference which is 2xpiXradius
2x3.1415x7=44 to nearest integer

If you order 3 pizzas, you will get 30 slices of pizza. How many slices are there in one pizza?

Answers

Answer:

There are 10 slices in one pizza.

Step-by-step explanation:

30 ÷ 3 = 10

Answer:

10 slices

Step-by-step explanation:

30÷3=10 meaning every pizza will have 10 slices and 2 pizzas will have 20.

can you help me please ​

Answers

Answer:

GFKSKKGKKSFG

Step-by-step explanation:

Find f(g(3)) given:
*
f (x) = 2x2 – 1
g(x) = 3x
h(x) =
j(x) = x - 5

Answers

Answer:

161

Step-by-step explanation:

Given the functions

f (x) = 2x^2 – 1

g(x) = 3x

we are to find f(g(3))

First look for the composite function f(g(x))

f(g(x)) = f(3x)

f(3x)  = 2(3x)² - 1

f(3x)  = 2*9x² - 1

f(3x)  = 18x² - 1

f(g(x)) =  18x² - 1

Substitute x  = 3 into the result

f(g(3)) = 18(3)² - 1

f(g(3)) = 18*9- 1

f(g(3)) = 162-1

f(g(3)) = 161

Hence f(g(3)) is 161

What is the equation of a line perpendicular to y= 3x +6 that crosses the ordered pair (3,2).
(Hint: a line perpendicular to an equation has an opposite reciprocal slope)

Answers

Answer:

y=-[tex]\frac{1}{3}[/tex]x+3

Step-by-step explanation:

A restaurant needs to build a wheelchair ramp for its customers. The angle 2 of elevation for a ramp is recommended to be 5 degrees. If the vertical distance from the sidewalk to the front door is two feet, what is the horizontal distance that the ramp will take up? Round your answers to the nearest hundredth. * O a) 22.9 ft O b) 26.4 ft O c) 22.8 ft O d) 22.2 ft​

Answers

Answer:

Step-by-step explanation:

An escalator at a shopping center is 200.75 feet long and rises at an angle of 15⁰. What is the vertical rise of the escalator? Round to hundredths place

The horizontal distance that the ramp will take up is a) 22.9 ft.

What are trigonometric ratios in terms of a right-angle triangle?

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

Given, The vertical or opposite distance is 2 feet and it has an angle of 5°.

∴ The horizontal or adjacent distance can be obtained by tan(theta).

Assuming horizontal distance to be x feet.

∴ tan(5°) = 2/x feet.

x = 2/tan(5°).

x = 22.9 feet.

learn more about trig ratios here :

https://brainly.com/question/14977354

#SPJ2

YeS mOrE 9Th GrAdE mAtH (question for smart people)

Answers

Answer:

A. 4x+13

Step-by-step explanation:

distribute the 4

(4x+20) -7

4x+13

Answer:

A

Step-by-step explanation:

The sum of two numbers is 30 and their difference is 4. Find the numbers​

Answers

Answer:

17 and 13

Step-by-step explanation:

So you can set up an equation:

let x be the greater number

this means that the smaller number would be 4 less than x, because their difference is 4, so x - 4.

The sum is 30, so x + (x - 4) = 30

Then, solve:

x + (x - 4) = 30

x + x - 4 = 30

combine like terms

2x - 4 = 30

add 4 to both sides

2x = 34

divide both sides by 2

x= 17

Now you know the greater number is 17. Since they have a difference of 4, you can do 17 - 4 = 13 to get the smaller number.

The numbers are 17 and 13

Please help and please I need help:)

Answers

Answer:

16 eighteenths

Step-by-step explanation:

Answer:

16 eighteens fit into [tex]\frac{8}{9}[/tex]

Step-by-step explanation:

in order to find out how much eighteenths are the in [tex]\frac{8}{9}[/tex]. we just have to divide [tex]\frac{8}{9}[/tex] by [tex]\frac{1}{18}[/tex]. So we get...

[tex](\frac{8}{9}) /(\frac{1}{18}) = (\frac{8}{9})(18) = \frac{144}{9} = 16[/tex]

Jacob has 17 yards of fabric. He uses 1 third of it to make a cape. How many yards of fabric does Jacob use for the cape? zearn m4L7

Answers

Answer:

5 2/3

You multiply.

Who here watches anime??!



(I sure do lol)

Answers

Answer:

me

Step-by-step explanation:

gbgtgrygthfthfthf i do lol

Me
I am currently watching the promised never land season 2 and dr stone stone wars

area of a isosceles triangle

i will make as brainliest whoever answers

Answers

Answer:

145cm is the area I believe.

Adam has 3 coins in his pocket and they are all different from each other. Ben has 3 coins in his pocket and they are all the same as each other. Adam has half as much money as Ben.
What are the coins they each have?

Answers

Answer:

The possible coins are:

P = penny = $0.01

N = nickel = $0.05

D = dime = $0.10

Q = quarter = $0.25

H = half dollar = $0.50

We know that Adam has 3 coins in his pocket, and all of them are different, then the money that Adam has can be represented with (A + B + C)

Behn has 3 coins, and all of them are the same, then if his coin has a value X, he has a total of 3*X

We know that Adam has half as much money as Ben, this can be written as:

(A + B + C) = 3*X/2

The easier way to solve this, is to play with different values of X, and see if we can find the values of A, B and C.

For example, if X = $0.10

then:

(A + B + C) = $0.10*(3/2) = $0.15

We can find 3 different value of coins for this equation? No, we cant, so X = $0.10 is also discarded.

if x = $0.50 then:

(A + B + C) = (3/2)*$0.50 = $0.75

Here we could have:

A = $0.50

B = $0.25

then: A + B = $0.75

But we still have the coin C.

If we take X = $0.25 then:

(A + B + C) = (3/2)*$0.25 = $0.375

We could round the right part to $0.40

then the coins in the left part would be:

A = $0.25

B = $0.10

C = $0.05

A + B + C =  $0.25 + $0.10 +  $0.05 = $0.40

This is a strech, but is the only thing we can make with the given problem.

Solve the equation for x. If necessary round to the nearest tenth.
x² = 17
X=
+

Answers

Answer:

x = 4.1 & x = −4.1

Step-by-step explanation:

[tex]x^2 = 17\\[/tex]

x  =  ±√17

x  =  √17,  −√17

x = 4.1 & x = −4.1

What is the equation in slope-intercept form of the line that passes through (2, 3) and is parallel to the line through (-2, 1) and (7, 1)?

Answers

9514 1404 393

Answer:

  y = 3

Step-by-step explanation:

The slope formula can be used to find the slope of the parallel line.

  m = (y2 -y1)/(x2 -x1)

  m = (1 -1)/(7-(-2)) = 0

The line is a horizontal line, so the y-intercept must be chosen to match the y-value of the given point.

  y = 3

_____

If you want to see the slope of zero in the slope-intercept form equation, you can write the equation as ...

  y = 0x +3

It is pretty unusual to keep 0 terms in an equation. Usually, they are eliminated when the equation is simplified.

y is inversely proportional to the cube root of x
When y = 2500, x = 64
(a) Find the value of y when x = 8
(b) Find the value of x when y = 2000

Answers

Answer:

b) Find the value of x when y = 2000

find. the value of y when x 8

Work out the area of a square with base = 1cm

Answers

Answer:

the area of the square is 1cm^2

Step-by-step explanation:

The computation of the area of the square is given below:

As we know that

Area of the square = side^2

Also in the square four sides are equal

So

= 1cm^2

= 1cm^2

hence, the area of the square is 1cm^2

Points A, S, and R are ___.

Answers

Answer:

B

Step-by-step explanation:

I'm pretty sure it's B, (please let me know if I'm wrong.)  

Colinear means to be on the same straight line, which they are.  

Coplanar means to be in the same plane, which they appear to be as well.

So yeah I'm pretty sure it's B.  

Pythorgorean Theorem ​

Answers

Are you sure it is Pythorgoren theorem because I was search for the answer but I could not find the answer this all it shows me

Simplify the expression -2 (x + 4 + 5y).

Answers

-2x-8-10y hope that helps

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

The student council at Eleanor Roosevelt High School is taking a survey of student opinions on this year's homecoming theme. To decide who to survey, the council creates a master alphabetized list of names from every student in the school, then selects every 20th student from the list. Will the results of this survey be valid? Why or why not?

yes, because a random sample is taken from all of the student body

yes, because the survey will include all of the seniors

no, because the survey will include freshman

no, because the survey will not include members of the faculty

Answers

No because the survey will not include Keebler’s of faculty

Answer:

no, because the survey will not include members of the faculty

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