What is the difference of the two polynomials? (7y2 6xy) â€"" (â€""2xy 3) 7y2 4xy â€"" 3 7y2 8xy â€"" 3 7y2 4xy 3 7y2 8xy 3.

I hope this helps.

Answer:-

   ∴x−3y−4z=0

Explanation:

First we rearrange the equation of the surface into the form f(x,y,z)=0

   x2+2z2=y2

   ∴x2−y2+2z2=0

And so we have our function:

   f(x,y,z)=x2−y2+2z2

In order to find the normal at any particular point in vector space we use the Del, or gradient operator:

   ∇f(x,y,z)=∂f∂xˆi+∂f∂yˆj+∂f∂zˆk

remember when partially differentiating that we differentiate wrt the variable in question whilst treating the other variables as constant. And so:

   ∇f=(∂∂x(x2−y2+2z2))ˆi+

                    (∂∂y(x2−y2+2z2))ˆj+

                    (∂∂z(x2−y2+2z2))ˆk

      =2xˆi−2yˆj+4zˆk

So for the particular point (1,3,−2) the normal vector to the surface is given by:

   ∇f(1,3,−2)=2ˆi−6ˆj−8ˆk

So the tangent plane to the surface x2+2z2=y2 has this normal vector and it also passes though the point (1,3,−2). It will therefore have a vector equation of the form:

   →r⋅→n=→a⋅→n

Where →r=⎛⎜⎝xyz⎞⎟⎠; →n=⎛⎜⎝2−6−8⎞⎟⎠, is the normal vector and a is any point in the plane

Hence, the tangent plane equation is:

   ⎛⎜⎝xyz⎞⎟⎠⋅⎛⎜⎝2−6−8⎞⎟⎠=⎛⎜⎝13−2⎞⎟⎠⋅⎛⎜⎝2−6−8⎞⎟⎠

   ∴(x)(2)+(y)(−6)+(z)(−2)=(1)(2)+(3)(−6)+(−2)(−8)

   ∴2x−6y−8z=2−18+16

   ∴2x−6y−8z=0

   ∴x−3y−4z=0

Answer:

For rectangle: A=wl

Step-by-step explanation:

Multiply the length by the with to find the answer

Answer: 50

Step-by-step explanation: add DBC and ABD to get 50 ABC is 50

Answer:

27 inches <3

Step-by-step explanation:

Answer:

Step-by-step explanation:

1)

2)

3)

[tex]\huge \rm༆ Answer ༄[/tex]

The Correct choice is D

Consider two points (0 , 3) and (2 , -1), now let's find the slope ~

And as about y - intercept, the point having x - coordinate equal to zero is its y - intercept.

that is ~

Answer:

Answer: 749.84

Step-by-step explanation:

• For 4% increment

[tex] = { \rm{ \frac{(100 + 4)}{100} \times 700 }} \\ \\ = { \rm{ \frac{104}{100} \times 700}} \\ \\ = { \rm{728}}[/tex]

• For the 3% increment

[tex] = { \rm{ \frac{(100 + 3)}{100} \times 728}} \\ \\ = { \rm{ \frac{103}{100} \times 728 }} \\ \\ = { \rm{749.84}}[/tex]

Answer:

3/7 : 1 OR 1 : 7/3

Step-by-step explanation:

You can set up ratios as a fraction and solve for the missing piece. See images.

Answer:

1 : 2.33 aka 1: 2 1/3

Step-by-step explanation:

1) 6 : 14

2) divide both sides by 6

6/6=1

14/6=2 1/3

3) 1 : 2 1/3

Answer: B

Step-by-step explanation:

====================================================

Explanation:

Set each factor equal to zero and solve for x. I'm using the zero product property which says A*B = 0 leads to either A = 0 or B = 0.

Let's apply that idea to the first factor.

x^2+4x+3 = 0

(x+1)(x+3) = 0

x+1 = 0 or x+3 = 0

x = -1 or x = -3  are two roots

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

Do the same for the other factor as well.

x^2 - 4 = 0

(x-2)(x+2) = 0  .... difference of squares rule

x-2 = 0 or x+2 = 0

x = 2 or x = -2  are another two roots

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

In total, the four roots are:

Side note: The term "root" is the same as the zeros of a polynomial. Visually, this corresponds to the x intercepts. Plugging any of those four items into p(x) will lead to p(x) = 0.

Answer:

the answer should have equal sides

Step-by-step explanation:

the answer 36 for the length, width, and height because if a cube has 6 sides each sould have the same amount of cubic inches.

Answer: 84.6

Step-by-step explanation: Based on the given conditions, formulate: 90 x 94%

Calculate the product or quotient: 84.6

get the result: 84.6

Hopefully that helps you! :)

Answer:

scroll

Step-by-step explanation:

√36 = 6

a^2 + b^2 = c^2

6^2 + 6^2 = c^2  

36 + 36 = c^2

72 = c^2  

√72 = c    

6√2 = c  

6√2 = V

(Estimate rounded = 8.49)

Answer:

B. x^2 - 10x + 25

Step-by-step explanation:

(x - 5)^2

(x - 5)(x - 5)

x^2 - 5x - 5x + 25

x^2 - 10x + 25

Number three is D and number 4 is also D.

Explanation for number three:

When you divide 12 by 3, you get 4. This gives us the number we need to multiply 10 by to get our answer. 10 x 4 = 40

Explanation for number 4:

In the last question, the first step to getting to the answer was to divide the first two numbers. This is no different. When you divide 32.5 by 5, you get 6.5. Then you multiply 10 and 6.5, which equals 65.

Answer:

111

Step-by-step explanation:

it is correct 10 + 10 × 10 + 10 ÷ 10= 111

mark as brainliest

Answer:

15x-3y

Step-by-step explanation:

Ok, this question might seem hard but its not! theres only 2 varibles here, x and y. In this problem we add the 2 numbers that are x which gives us 15x and then the -3y gets added to the rephrasment.

Answer:

the answer to this question is $32.96

Answer:

0

Step-by-step explanation:

If b^2 - 4ac is less than 0, it will not have any real roots/solutions so you would not get any solutions in this case.

Answer:

5.23

Step-by-step explanation:

The opposite of a number is the opposite signs,

the opposite of negative is positive and the opposite of positive is negative,

so the opposite of negative 5.23 is positive 5.23.

Answer: For the first 5 months she pays a monthly$15 membership fee. Use the explicit rule f(n) = 15n + 10

Step-by-step explanation:

The table of the ordered pairs and the graph is plotted.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have Emma who pays $10 to join a gym. For the first 5 months she pays a monthly $15 membership fee. The explicit rule that represents the situation above is f(n) = 15n+10.

We have the function as -

f(n) = 15n+10.

We can create a table as follows -

[n]         f[n]

1            25

2           40

3           55

4           70

5           85

Refer to the graph of the function f(n) = 15n+10 attached.

Therefore, the table of the ordered pairs and the graph is plotted.

To solve more questions on straight lines, visit the link below-

brainly.com/question/20400984

#SPJ2

Answer: 3x/(x-3)(x+1)

Answer:

4998

Step-by-step explanation:

1000+2000+1000 = 4000

800+100 = 900

20+40+20 = 80

6+9+3 = 18

4000+900+80+18 = 4998

Hope that helps!

Hey there!

Hope this helps. Use the comment section to clarify your doubts.

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~A girl who helps others with a smile

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Good luck.

Answer:

She needs 3 cups of white paint

Step-by-step explanation:

She has 1:4 ratio with the white and blue paint.

1/4:1

3/4:3