Please Help ASAP - 10 Points!

What is the value of f(g) at f(21)?

9514 1404 393

Answer:

  (x, y, z) = (8√7/105, 2√7/21, 4√7/35)

Step-by-step explanation:

The algebra is straightforward, if tedious.

We'll define X = x^2, Y = y^2, Z = z^2, -1/16 = a, -1/25 = b, -1/36 = c. Then the equations become ...

  √X = √(Y +a) +√(Z +a) . . . . [eq1]

  √Y = √(Z +b) +√(X +b) . . . . [eq2]

  √Z = √(X +c) +√(Y +c) . . . . [eq3]

__

As with any radical equation, you square both sides, isolate the remaining radical, then square both sides again. Each squaring introduces extraneous solutions.

The equations are symmetrical, so we can do the tedious stuff on the first one, then make the appropriate substitutions to see the other two equations.

  X = Y +a + 2√((Y+a)(Z+a)) +Z +a

  X - Y - Z -2a = 2√((Y+a)(Z+a)) . . . . isolate the remaining radical

  (X -Y -Z -2a)^2 = 4(Y+a)(Z+a) . . . . square both sides again

  X^2 +Y^2 +Z^2 +4a^2 -2XY -2XZ +2YZ -4aX +4aY +4aZ = 4YZ +4aY +4aZ +4a^2

Subtracting the right side gives ...

  X^2 +Y^2 +Z^2 -2XY -2XZ -2YZ -4aX = 0 . . . . [eq4]

Then the remaining equations are ...

  X^2 +Y^2 +Z^2 -2XY -2XZ -2YZ -4bY = 0 . . . . [eq5]

  X^2 +Y^2 +Z^2 -2XY -2XZ -2YZ -4cZ = 0 . . . . [eq6]

Subtracting [eq6] from [eq5] gives a relation between Y and Z:

  -4bY +4cZ = 0

  Z = bY/c . . . . [eq7]

Substituting this into [eq4], we have ...

  X^2 +Y^2 +(bY/c)^2 -2XY -2X(bY/c) -2Y(bY/c) -4aX = 0

  X^2 +Y^2(1 -2b/c +(b/c)^2) -2XY(1 +b/c) -4aX = 0 . . . . [eq8]

Subtracting [eq5] from [eq4] gives a relation between X and Y:

  -4aX +4bY = 0

  Y = aX/b . . . . [eq9]

Substituting this into [eq8], we have ...

  X^2 +(aX/b(1 -b/c))^2 -2X(aX/b)(1 +b/c) -4aX = 0

Dividing by X* gives a linear equation in X:

  X(1 +(a/b(1 -b/c))^2 -2a/b(1+b/c)) -4a = 0

  X = 4a/(1 +(a/b(1 -b/c))^2 -2a/b(1+b/c))

Substituting the above values for a, b, c, we have ...

  X = 64/1575

  x = √X = √(64/1575) = 8/(15√7)

  Y = X(25/16)

  y = x(5/4) = 2/(3√7)

  Z = Y(36/25)

  z = y(6/5) = 4/(5√7)

The solution is ...

_____

* At this point the equation is of the form pX^2 +qX = 0 or X(pX +q) = 0. One solution is X=0, which is extraneous. The solution of interest is X = -q/p.

Answer:

1700/1771

Step-by-step explanation:

Answer:

.96

Step-by-step explanation:

if u divide 34/35.42, you get the exact answer of .9599096556 . If u round your decimal u will end up with .96 . Hope this helped!

Answer:10

Step-by-step explanation:

Answer:

Q

Step-by-step explanation:

Answer:

The equation of the perpendicular bisector is y =  [tex]\frac{-1}{2}[/tex] x - 3

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

The rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where

∵ A line passes through points (-1, 5) and (-7, -7)

∴ x1 = -1 ad y1 = 5

∴ x2 = -7 and y2 = -7

→ Use the rule of the slope above to find the slope of the line

∵ m = [tex]\frac{-7-5}{-7--1}[/tex] = [tex]\frac{-12}{-7+1}[/tex] = [tex]\frac{-12}{-6}[/tex] = 2

∴ m = 2

→ Reciprocal the value of m and change its sign to find the slope of

  the line perpendicular line

∴ m⊥ = [tex]\frac{-1}{2}[/tex]

→ Substitute in the form of the equation above

∵ y = [tex]\frac{-1}{2}[/tex] x + b

∵ The ⊥ line is also the bisector of the given line, find the mid-point

   of the given line because it is also lying on the ⊥ line

∵ M = ([tex]\frac{-1+-7}{2},\frac{5+-7}{2}[/tex]) =  ([tex]\frac{-8}{2},\frac{-2}{2}[/tex]) = (-4, -1)

∴ M = (-4, -1)

→ Substitute the coordinates of M in the equation of the ⊥ line above

∵ x = -4 and y = -1

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

∴ -1 = 2 + b

→ Subtract 2 from both sides

∴ -3 = b

→ Substitute the value of b in the equation

∴  y =  [tex]\frac{-1}{2}[/tex] x + -3

∴ y =  [tex]\frac{-1}{2}[/tex] x - 3

∴ The equation of the perpendicular bisector is y =  [tex]\frac{-1}{2}[/tex] x - 3

Answer:

12×12 =144

Answer is 12 days

Answer:

2x^2 +7x+3

Step-by-step explanation:

(2x+1)(x+3)

We can solve equations like this using the FOIL (First Outside Inside Last) method.

(2x)(x)+(2x)(3)+(1)(x)+(1)(3)  -> 2x^2+6x+x+3

Now we can simplify using like terms

2x^2+7x+3

Answer: B = D

because we have:

[tex]x^{1/3}.x^{1/3}.x^{1/3}=x^{1/3+1/3+1/3}=x^{3/3}=x^{1}=x[/tex]

[tex]\frac{1}{x^{-1} }=\frac{1}{\frac{1}{x} }=x[/tex]

Step-by-step explanation:

Answer: Skew

Step by step: Because it is

Answer:

consistent, independent; one

Step-by-step explanation:

The solution is (4, −1, 2). Because the system has one solution, it is consistent and independent.

The  system of equation is consistent and have unique solution.

Rows and columns of numbers are arranged in a matrix.

A rectangular matrix is a grouping of numbers into rows and columns. The matrix A, for instance, has two rows and three columns.

Given:

4x + 3y + 6z = 25

x + 5y + 7z = 13

2x + 9y + z = 1

Writing the into matrix form

A= [tex]\left[\begin{array}{ccc}4&3&6\\1&5&7\\2&9&1\end{array}\right][/tex]  and B= [tex]\left[\begin{array}{ccc}25\\13\\1\end{array}\right][/tex]

Now, find the determinant we get

[tex]D_x[/tex] = -796, [tex]D_y[/tex]= 199, [tex]D_z[/tex] = -398

and Determinant of matrix A= -199

So, x= -796/-199= 4

y= 199/-199 =-1

z= -398/-199 = 2

hence, the system of equation is consistent and have unique solution.

Learn more about matrix here:

https://brainly.com/question/28180105

#SPJ2

Answer:

y-3= -1/5(x-5)

Step-by-step explanation:

point slope form is --> y-y,=m(x-x,)

commas represent 1's.

so

-1/5= m

3=y,

5=x,

Answer:

[tex]y-3= -\frac{1}{5}(x-5)[/tex]

Step-by-step explanation:

Answer:

24hrs

Step-by-step explanation:

100 devide by 25 x 6

See attachment for math work and answer.

Answer:

40.00

Step-by-step explanation:

una sandia 10.00

un banano 2.00

un aguacate 3.00 (porque una docena equivale 12 artículos; 36/12 es 3)

una sandía 10.00

una docena de bananos 12(2.00) = 24.00

dos aguacates 2(3.00) = 6.00

10.00 +24.00 +6.00

=40.00

Answer:

1.2

I checked in the RSM system thing

Answer:

A

Step-by-step explanation:

cause 5 or > 5 it will add on for the tenth ,in the tenth place their is one so we add one and it will be 2..

Answer:

eeeeeeeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:

sssssssssssssssssssssssss

Answer: True

Step-by-step explanation:

If a function is linear, it only goes in one direction, which means it can only intercept the x-axis one time.

Answer:

ayo i need sum points

Step-by-step explanation:

ykikykikykyiky

Answer:

x = 20, #8 is 59, #9 is 41

Step-by-step explanation:

Answer:

4a-2c+36

Step-by-step explanation:

that is it

Answer:

1

Step-by-step explanation:

Answer:

the actual answer to this question you have asked would actually be -1 due to the rule when it comes to dividing a positive and a negative so first we would 2.6 divided by 2.6 we know that it is a negative so we would make it -1

Step-by-step explanation: so. out of he answer choices choose A. -1

mark brainliest

Answer:

Exact Form:

x

=

−

1

±

√

2

Decimal Form:

x

=

0.41421356

…

,

−

2.41421356

…

i dont know if this helps

Step-by-step explanation:

Answer:Equilateral

Step-by-step explanation:

Answer:

(-3,-6)

Step-by-step explanation:

Thanks a lot

Thanks agin

Answer:

-3,-6

Step-by-step explanation:

the numbers orders are the order the alphabet is in so x then y so the x line is -3 and they y line is -6