!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!7

Lets try one way to solve this system. First, we want to isolate one of the unkown, lets choose y, so we need to remove x from an equation. In order to remove x from an equation, thats what we are going to do :

Line 1:

(3x² - 5y²) * 2 = 22 * 2

6x² - 10y² = 44

We simply multiplied Line 1 by the number 2, this doesn't change anything on the nature of Line 1.

Line 2:

(2x² + 4y²)*3 = 22*3

6x² + 12y² = 66

We simply multiplied Line 2 by the number 3, this doesn't change anything on the nature of Line 2.

Solving your system of equations is exactly the same thing as solving this new system of equation :

6x² - 10y² = 44

6x² + 12y² = 66

It is exactly the same. But it is easier now, because we can remove x from the equation simply by subtracting line 2 from line 1 :

L1 - L2 :

(6x² - 10y²) - (6x² + 12y²) = 44 - 66

6x² - 10y² - 6x² - 12y² = - 22

- 22y² = - 22

y² = 1

y = + 1 or y = - 1

We know have the value of y, we just have to replace it in the equation to solve the entire system :)

3x² - 5y² = 22

since y² will always be equal to one, wether y = 1 or y = - 1, we can write :

3x² - 5 = 22

3x² = 22 + 5

3x² = 27

x² = 27/3

x² = 9

x = + 3 or x = - 3

So the solutions are the following couples in the form (x,y) :

S = { (3 ; 1) , (-3;1) , (3 ; - 1) , (-3 ; -1))

Good Luck

Answer:

23 meters

Step-by-step explanation:

You would subtract 24 from 70, and then divide by two.

70-24=46

46/2 = 23

Answer:

a) 3

Step-by-step explanation:

that's the correct answer

Answer:

C. y - 1 = -4(x - 2)

Step-by-step explanation:

1. To find which line equation doesn't go through through the two points, we plug in the values of x to see if we get the value of the y.

A:

B:

C:

Therefore, the answer is C. y - 1 = -4(x - 2).

Answer:

-3,-1

its obvious because all you're doing is plting points

Answer:

- 6-c/b

Step-by-step explanation:

3 ( c − b x ) = 18

=> c - bx = 18/3

=> -bx = 6 - c

∴ x = - 6-c/b

Hopefully this helps!!

The given formula written in the form of x as the subject is obtained as  x = (c - 6)/b.

A linear equation is a equation that has degree as one.

To find the solution of n unknown quantities n number of equations with n number of variables are required.

The given formula is  3(c − bx) = 18.

It is in the form of a linear equation.

It can be rewritten as follows,

3(c − bx) = 18

⇒ c − bx = 18/3

⇒ bx = c - 6

⇒ x = (c - 6)/b

Which implies the formula written as x as the subject.

Hence, the required form of the given formula is  x = (c - 6)/b.

To know more about Linear equation click on,

brainly.com/question/11897796

#SPJ2

Step-by-step explanation:

[tex]\frac{rise}{run}[/tex]

Initially, as X increases, Y stays constant.

Then, between x = 3 and x = 5, the graph rises by 4 and runs by 2, or rises by 2 and runs by 1, so the slope is 2.

Between x = 5 and x = 9, the graph "rises" by -1 and runs by 1, so the slope is -1.

The greatest value of y is 4 at x = 5. (5, 4)

Answer:

Initially, as x increases, y remains constant.

Afterward, the slope of the graph of the function is equal to 2 for all x between x = 3 and x = 5.

The slope of the graph is equal to -1 between x = 5 and x = 9.

The greatest value of y = 4, and it occurs when x = 5.

Step-by-step explanation:

Slope = [tex]\frac{rise}{run}[/tex]

The rise is how much it increases by y (up or down), and the run is how much it increases by x (right or left).

From 3-5 the slope = [tex]\frac{4}{2}[/tex] =  2 → it goes up 2 units for every one unit right.

From 5-9 the slope = [tex]\frac{-4}{4}[/tex] = -1 → it goes down (-) 1 unit for every one unit right.

Answer:

Yes

Step-by-step explanation:

It is a function because the x value doesnt repeat itself. The x value is the input

Answer:

y = ([tex]-\frac{1}{2}[/tex])x + 4

Step-by-step explanation:

(x1,y1) = (0,4) ; (x2,y2) = (8,0)

The equation will look like y=mx+b

Slope m = [tex]\frac{rise}{run}[/tex] =  [tex]\frac{y2-y1}{x2-x1}[/tex] = [tex]\frac{0-4}{8-0}[/tex] = [tex]\frac{-4}{8}[/tex] = [tex]-\frac{1}{2}[/tex]

Next, substitute either x1y1 or x2y2 (it's gonna give the same answer anyways) and m to the equation y=mx+b to find b.

y=mx+b

0 = ([tex]-\frac{1}{2}[/tex])8 + b

0 = -4 +b

0+4 = -4 +4 +b

b=4

Then substitute b and m to the equation y=mx+b

y = mx + b

y = ([tex]-\frac{1}{2}[/tex])x + 4

Answer:

the formula for finding the perimeter of a rectangle is P=2L+2W

an example of how to find the perimeter is

Explanation:

For a rectangle, its perimeter is the sum of all for sides.

The rectangle has a perimeter of 54. Find the lengths of the unknown side. That is, find S.

54=20+20+S+S

Simplify

54=40+2S

Solve for S

14=2S

S=7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

17 +4 = 21

21/3 = 7

Answer:

Author D write 1/16 of the total number of books.

Step-by-step explanation:

Let the total number of books be b.  Then the amounts written by the four authors would be represented by:

(1/4)A

(5/16)A

(3/8)A

( ? )A

Add these together, realizing that the LCD here is 16:

(4/16)A

(5/16)A

(6/16)A

( ? )  A

------------

(15/16)A must then equal the remainder of the work:  (16/16)A

Thus, Author D wrote (1/16)A of the books.  (Note that 4/16 + 5/16 + 6/16 + 1/16 = 1)

Author D write 1/16 of the total number of books.

Answer:

1.

Step-by-step explanation:

Answer:

The graphs that could be this function are the third one and the last one.

C and E

Hope this helps!

Step-by-step explanation:

Other than C and E, all of the other functions start out by decreasing starting from -5.

They both also have the straight part from -3 - 0 where the function neither increases nor decreases.

They also have the part where from 2 increases to 5.

Answer:

 y = 4/3x - 3

Step-by-step explanation:

1. Find two pints on the line: ((3,1) and (6, 5).

2. Find the slope: Slope = (change in y-values)/(change in the x-values).

   Slope = (5 - 1)/(6 - 3) = 4/3

3. Use the slope and one point and substitute into y = mx + b to solve for "b"

     y = mx + b                 slope = 4/3   and point (3, 1)

      1 = 4/3(3) + b              4/3 · 3/1 =  12/3 = 4

      1 = 4 + b

      1 - 4 = b

       -3 = b

4.  Write the equation of the line: m = 4/3 and b = -3  Substitute into y = mx + b

      y = 4/3x - 3

Step step :

-HayabusaBrainly

Answer:

1

Step-by-step explanation:

Answer:

Find the slope that passes between the points.

(y₂ - y₁) / (x₂ - x₁)

J(-4, -5)

K(-6, 3)

(3 - (-5)) / (-6 - (-4))

(3 + 5) / (-6 + 4)

8 / -2

-4

Step-by-step explanation:

there

[tex] \: [/tex]

[tex] = 125[/tex]

Step-by-step explanation:

[tex]25 + 100 = ?[/tex]

[tex]25 + 100 = 125[/tex]

[tex] \: [/tex]

Hello! :)

I will start by explaining what the l l notation means.

It means "absolute value" or a number's distance from zero.

Absolute value is always positive. Remember this:

lal=a

l-al=a

Now, using this, let's solve our math problem.

l-2.9l>2.6

2.9>2.6

Is this statement true? Is 2.9 greater than 2.6? Yes, it is. Therefore, the statement is true.

Hope it helps.

Feel free to ask me if you have any questions.

~A smiley teen who adores helping others

[tex]MagicalNature[/tex]

Answer:

True

Step-by-step explanation:

The absolute value of -2.9 is 2.9.

So 2.9>2.6

Remember, the absolute value of a number is always nonnegative (positive or zero). If a number is negative, negating that number will make it positive.

Answer:

48 questions.

Step-by-step explanation:

x is for the unknown variable, the number you are trying to figure out.

12= 25%x

if you convert to a fraction, 12 is 1/4 of x. if you then multiply your answer by 4, 12 is 25% of 48.

to figure this out you can also ask, 12 is 25% of what number?

The resulting temperature was 8°F.

[tex]\\ \sf\longmapsto XY=\sqrt{x^2+y^2}[/tex]

[tex]\\ \sf\longmapsto XY=\sqrt{a^2+2^2}[/tex]

[tex]\\ \sf\longmapsto XY=\sqrt{a^2+4}[/tex]

[tex]\\ \sf\longmapsto XY=2+a[/tex]

Answer:

Side AB and side BC

Step-by-step explanation:

Hope it helps

y-2=(-x+2)

point slope

equation is

y-y1=m(x-x1)

Answer:

6×4 = 24 m^3

..............................

Answer:

24 units

Step-by-step explanation:

because 6x4=24 units

Answer:

See below for answers

Step-by-step explanation:

These triangle do not have to be similar to each other because the 30° angles  may not be located in the same place.

For example, place one 30° at the vertex of the triangle which is  located where the two equal legs of the isosceles triangle are joined.  The triangle angles measure are 30°, 75°, and 75°.

But if the 30° angle is one angle at the base of the isosceles triangle, then the angles measure are 30°, 30°, 120°.  

                                                          30°  

                           Δ                             Δ

                      30°

Answer: 15

Step-by-step explanation: you basically add n per sequence.

0+1 = 1

1+2 = 3

3+3 = 6

6+4 = 10

10+5 = 15

Hope this helps

Answer:

R is at the ordered pair (4, -2)

Step-by-step explanation: