Find the equation of the line that passes through (1,-1) and is parallel to 2x+y−3=0

Leave your answer in the form y=mx+c

We need to differentiate this with respect to x to see if we can find an expression for the derivative of y at various points.  That will be the slope of the tangent to the curve.  Then we want to see where that derivative might be infinite -- i.e., where the tangent is vertical.

It's not written as a function, but it can still be differentiated using the chain rule:

x2 + xy + y2 = 3

(2x) + (x dy/dx + y dx/dx) + (2y dy/dx) = 0

(I used parentheses to show the differentiation of each term in the original equation.)

2x + x dy/dx + y + 2y dy/dx = 0

2x + y = -x dy/dx - 2y dy/dx

2x + y = dy/dx (-x -2y)

-(2x + y)/(x + 2y) = dy/dx

We have the derivative of y, but it's defined partly in terms of y itself.  That's OK.  Let's go on...

So where would the slope be infinite?  That would happen when x + 2y = 0, or y = -x/2

Let's plug that in for y in the original equation to find points where that's the case.

x2 + xy + y2 = 3

x2 + x(-x/2) + (-x/2)2 = 3

x2 - x2/2 + x2/4 = 3

3x2 / 4 = 3

x2 = 4

x = ±2

So we have two x values where the tangent might be vertical.  Let's plug them into the equation and see what the y values are.  First x = 2...

x2 + xy + y2 = 3

4 + 2y + y2 = 3

y2 + 2y + 1 = 0

(y + 1)2 = 0

y = -1

So at the point (2, -1) the tangent is vertical.

Now try x = -2...

x2 + xy + y2 = 3

4 - 2y + y2 = 3

y2 - 2y + 1 =0

(y - 1)2 = 0

y = 1

So at the point (-2, 1) the tangent is vertical.

Answer:

Im pretty sure the answer is 5.

Step-by-step explanation:

Answer:

See answers below.

Step-by-step explanation:

m ∠A + m ∠B + m ∠C = 180°          The sum of the angles in a triangle = 180

28°  +   x - 4   + 2x  = 180°              Substitution

x =  52°                                            Algebra

28°  +  x - 4  + 2x  = 180°

    24° + 3x = 180°

     3x = 156°

      x = 156/3

       x = 52°

Check:   28° + 48 + 104°  = 180√

Answer:

n = 2

Step 1: Add 3 to both sides to isolate x.

n – 3 = ‐1

Step 2: Solve

=> n = -1 + 3

Final Answer: Answer to the question.

=> n = 2

Therefore, n = 2 is our answer.

Hoped this helped.

Answer:

The value of -2 is LESS THAN the value of 1.5 because -2 lies to the LEFT of 0 and 1.5 lies to the RIGHT of 0 on the number line

Step-by-step explanation:

Answer:

Step-by-step explanation:

3.6

Answer:

12x

Step-by-step explanation:

cuz i said so

Answer:

?

Step-by-step explanation:

Answer:

-814°, -454°, -94°, 266°, 626°. Did you mean like that?

Answer: D and B

Step-by-step explanation:

D: 10/10 can be simplified to 1/1, or 1. 1 times 13 is equal to 13.

B: 4 x 13 is simply 52.

Hope this helps!

A. 5/6 x 13 = 10.83

B. 4 x 13 = 52

C. 3/4 x 13 = 9.75

D. 10/10 (1) x 13 = 13

B. 4 x 13 & D. 10/10 (1) x 13 are your answers.

Answer:

Option C. She has some equity or ownership right away.

Step-by-step explanation:

I did the Exam too. And got it right. Hope this helped.

Answer:

See attached

Step-by-step explanation:

A simpler form of the same equation is:

y = -4 +(4+2/5)

Answer:

If you use the PEMDAS method, you can see that exponents should be done first.

Step-by-step explanation:

Answer:   x = 39/10     y = 29/5

Answer:

(17,25)

Step-by-step explanation:

To find the solution to the system, solve with elimination.

Equation 1.

−4x + 3y =7

Equation 2.

5x − 2y =35

To cancel out the y-variable, multiply the first equation by 2, and the second equation by 3.

2(−4x + 3y =7)

-8x+6y=14

3(5x − 2y =35)

15x-6y=105

Combine both equations.

-8x+6y=14

15x-6y=105

7x=119

x= 17

Plug in x into the first equation to solve for y.

-8x+6y=14

-8(17)+6y=14

-136+6y=14

6y=150

y=25

Answer:

1.   slope = 6,  y-intercept = 11

2.  slope = 1,  y-intercept = 6

Answer:

you are correct

Step-by-step explanation:

6 is the slope and 11 is the y-intercept

1 is the slope and 6 is the y-intercept

Answer:

25!

Step-by-step explanation:

Subtract the highest and lowest so its 25:)

Answer:

25

Step-by-step explanation:

Range is the largest number minus the lowest

Answer:

d = 6

Step-by-step explanation:

sorry for late awenser

The value of the equation is d = 6

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

4 ( d - 5 ) - 6 = 2 ( 8 - d ) - d   be equation (1)

On simplifying the equation , we get

4d - 20 - 6 = 16 - 2d - d

On further simplification , we get

4d - 26 = 16 - 3d

Adding 3d on both sides of the equation , we get

7d - 26 = 16

Adding 26 on both sides of the equation , we get

7d = 42

Divide by 7 on both sides of the equation , we get

d = 6

Therefore , the value of d is 6

Hence , the equation is d = 6

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Answer:

x = - 5, x = 1

Step-by-step explanation:

let f(x) = 0 , that is

(x + 5)(x - 1) = 0

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 1 = 0 ⇒ x = 1

Plot the points - 5 and 1 on the number line

Answer:

A

Step-by-step explanation:

Seems like a reasonable answer choice

Answer:

y= 1/6x + 8

Step-by-step explanation:

[tex]\text{Given that,}\\\\x -6y = -48 \\\\\implies x +48 = 6y\\\\\implies y =\dfrac{x +48}6\\\\\implies y =\dfrac x6 + \dfrac{48} 6\\\\\implies y = \dfrac 16 x + 8\\\\\text{This is the slope-intercept form of the given equation(y =mx +b)}.[/tex]

Answer:

x + y = 15

0.5x + 0.65y = 9

Step-by-step explanation:

x = number of oranges

y = number of apples

total of apples and oranges is 15 so x + y = 15

total cost of apples and oranges is $9 so 0.5x + 0.65y = 9

Calculation

y = 15 - x

0.5x + 0.65(15-x) = 9

0.5x - 0.65x + 9.75 = 9

-0.15x = - 0.75

x = 5

y = 15 - x = 15 - 5 = 10

Answer:

420 minutes

Step-by-step explanation:

first I subtracted 30 from 59.4 and got 29.4

then I divided 29.4 by .07 and got 420

so there you go hope it helped

Answer:

its c

Step-by-step explanation:

Answer:

The first chart

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

[tex]\cos 27^{\circ} = \dfrac{KL}x\\\\\implies \cos 27^{\circ} = \dfrac{6.3}x\\\\\implies x = \dfrac{6.3}{\cos 27^{\circ}}=7.1~ \text{units.}[/tex]

Answer:

See image

Step-by-step explanation:

Compare "like" values to write a proportion (two fractions or ratios set equal to each other) Then you can cross multiply to solve the equation for x

Answer:

(3a + 10)(3a - 10(a - 3).

Step-by-step explanation:

Do a long division:

3a + 10 ) 9a^3 - 27a^2 - 100a + 300 ( 3a^2 - 19a + 30 <----- Quotient

              9a^3 + 30a^2

                        -57a^2 - 100a

                        -57a^2 - 190a

                                       90a + 300

                                       90a + 300

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

Factorise the Quotient:

3a^2 - 19a + 30

= 3a^2 - 9a - 10a + 30

= 3a(a - 3) - 10(a - 3)

= (3a - 10)(a - 3)