5(x + y)-3(x-y)=
Help please

The system of equations represented by the graph are

y = 2x + 3 and y = (-1/2)x - 3

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The equation of one line on the graph.

y = mx + c

Select two coordinates from the line.

(0, 3) and (-3, -3)

m = (-3 - 3) / -3 = -6/-3 = 2

(0, 3) = (x, y)

3 = 0 + c

c = 3

The equation of the line is y = 2x + 3

The equation of the other line on the graph.

y = mx + c

Select two coordinates from the line.

(0, -3) and (2, -4)

m = (-4 + 3) / 2 = -1/2 = -1/2

(0, -3) = (x, y)

-3 = 0 + c

c = -3

The equation of the line is y = (-1/2)x - 3

Thus,

y = 2x + 3 and y = (-1/2)x - 3 are the system of equations.

Learn more about equation of a line here:

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Answer:

x=-6

Step-by-step explanation:

Answer:

I got X = -6 hope I'm right

Answer:

872 is the final answer

Step-by-step explanation:

Answer: The answer is 872

Step-by-step explanation:

Given :

A 13ft ladder is leaning against a wall when its base starts ti slide away from the wall.

By the time its base is 12 feet from the wall, the base is moving at the rate of 5ft/sec.

To Find :

How fast is the top of the ladder sliding down the wall.

Solution :

By, Pythagoras theorem, distance of ladder from horizontal to wall is 5 feet.

Now, [tex]x^2 + y^2 = 13^2[/tex]

Differentiating both sides, we get :

[tex]2x\dfrac{dx}{dt}+2y\dfrac{dy}{dt}=0\\\\(2\times 12\times 5) + (2\times 5 \times \dfrac{dy}{dt})=0\\\\\dfrac{dy}{dt}= -12 \ feet/sec[/tex]

Answer:

solving the equation [tex]5x^2 - 16 = 29[/tex] we get the solution: [tex]\mathbf{x=3,x=-3}[/tex]

Step-by-step explanation:

We need to solve the equation [tex]5x^2 - 16 = 29[/tex]

We need to solve the equation to find the value of x.

We can solve this equation using simple DMAS rule.

We are given:

[tex]5x^2 - 16 = 29[/tex]

Add 16 on both sides

[tex]5x^2 - 16+16 = 29+16\\5x^2=45[/tex]

Now, divide both sides by 5

[tex]\frac{5x^2}{5}=\frac{45}{5} \\x^2=9[/tex]

Now, we know that [tex]\sqrt{x^2}=\pm x[/tex]

Taking square root on both sides.

[tex]\sqrt{x^2}=\sqrt{9}\\x=\pm3[/tex]

So, we get values of x:

[tex]x=3, x=-3[/tex]

Therefore, solving the equation [tex]5x^2 - 16 = 29[/tex] we get the solution: [tex]\mathbf{x=3,x=-3}[/tex]

Answer:

53.4

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

B. 4

Step-by-step explanation:

5x - 2(2x-1) = 6   Distribute first the 2 to (2x-1)

5x - 4x + 2 = 6    Subtract 5x - 4x

x + 2 = 6   Transpose 2 to the right side by subtracting both side by 2

x = 6 -2

x  = 4

Answer:

0.6

Step-by-step explanation:

10l|8w

6l`|?w`

6/10=0.6

0.6 x 8w = 4.8w

Scale factor = 0.6

Step-by-step explanation:

please delete this comment

Answer:

Let's solve for x.

−5x + 4y = 3

Step 1: Add -4y to both sides.

−5x + 4y+ −4y =3+ −4y

−5x = −4y +3

Step 2: Divide both sides by -5.

-5x divided by 5 = -4y+3 divided by -5

x=4/5y + −3/5

Step-by-step explanation:

Answer:

Line J

Step-by-step explanation:

It is sloping downwards. It starts in  the top left and end at the bottom right, so it it the only negative one

Answer:

Line J

Step-by-step explanation:

Its the only one descending downwards, while the other two are going up in a positive direction.

Hope this helps (:

Answer:

terms 3

coefficients 2

constant is your 11

Step-by-step explanation:

Answer:

(2x^2 + x-7)/3x+ 3

Step-by-step explanation:

Here, we want to write the following as a single fraction;

2x-1/3 - 2/x + 1

That will be;

(2x-1)(x + 1) -2(3)/3(x+ 1)

= 2x^2+ 2x-x-1-6/3(x + 1)

= (2x^2+x-7)/3(x+1)

= (2x^2 + x-7)/3x+ 3

Answer:

The Answer to your question is x<-7 Hope This could Help

Step-by-step explanation:

Answer:

x<−3

Step-by-step explanation:

Let's solve your inequality step-by-step.

−3x+6>15

Step 1: Subtract 6 from both sides.

−3x+6−6>15−6

−3x>9

Step 2: Divide both sides by -3.

−3x/−3>9/−3

pls mark as brainliest

20cm×15 cm =300

32

/100 = 0.32

9514 1404 393

Answer:

  1.5 cm

Step-by-step explanation:

All areas are in cm^2. For a width w, the border will have an area equal to the product of its centerline length and its width:

  border area = 2((20-w) +(15-w))·w = w(70 -4w)

This area is 32% of the total cover area, so is ...

  0.32(20)(15) = 96

Equating these expressions for the area gives ...

  96 = 70w -4w^2

  w^2 -17.5w = -24 . . . . . divide by -4

  w^2 -17.5w +8.75^2 = -24 +8.75^2 . . . . . complete the square

  (w -8.75)^2 = 52.5625 . . . . simplify

  w -8.75 = ±√52.5625 = ±7.25

A border width only makes sense if it is between 0 and 7.5 cm, so the appropriate value for w is ...

  w = 8.75 ± 7.25 . . . . . . . . . add 8.75

  w = 8.75 -7.25 = 1.50 . . . . . the solution w=16 makes no sense

The border width is 1.5 cm.

Answer:

Use the SOH CAH TOA

Step-by-step explanation:

Angle = 60°

x = opposite o

y = adjacent a

10√ 3 = hypotenuse h

To find x we use SOH {sineø = o/h}

Sin 60° = x/10√ 3

x=10√ 3 * sin 60

X=15

You can use Pythagoras theorem or CAH{cosø = a/h}

Cos 60°= y/10√ 3

y=Cos 60° * 10√ 3

y=5√ 3

Answer:

D) 3cm/s

Step-by-step explanation:

Speed (or velocity) is calculated with d/t (distance/time). From the multiple-choice options, we know the unit is cm/s, which makes it super convenient.

Now, using the equation and seeing that 27cm is the distance and 9s is the time, 27/9 =3.

Therefore, the answer is D, 3cm/s.

Hope that helps!

Answer:

4x and (1-y)

Step-by-step explanation:

4x(1-y)

this is my answer

The factors of the expression are 18x and 4-y

Given the expression 72x - 18xy

Find the factor of each term:

72x = 18 * 4 * x

18xy = 18 * x * y

Since 18x is common to both terms, hence the factored form is expressed as:

72x - 18xy = 18x (4 - y)

The factors of the expression are 18x and 4-y

Learn more on factors here: https://brainly.com/question/24539261

Answer:

0.1

Step-by-step explanation:

Please mark me brainleist

Answer:

17 plus 44 is 61.

Step-by-step explanation:

I used a calculator. In order for ur brain to learn something new, its got to get rid of some stuff. am I right?

Answer:

14,000+2.1%(0.021)x

Step-by-step explanation:

x is how many years

Answer:

SSS or SAS

Step-by-step explanation: