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Answer:

x = 6 ± 3√

Step-by-step explanation:

Step-by-step explanation:Since this is an unfactorable expression, apply the Quadratic Formula, -b ± √b² - 4ac\2a,

The solutions to the equation are:

x = 6 + 3 √(10) or x = 6 - 3 √(10)

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

x² - 12x + 36 = 90

Subtracting 90 from both sides.

x² - 12x - 54 = 0

To solve for x, we can use the quadratic formula.

x = (-b ± √(b² - 4ac)) / 2a

where a, b, and c are the coefficients of the quadratic equation

ax² + bx + c = 0.

In this case, a = 1, b = -12, and c = -54.

Substituting these values into the formula.

x = (-(-12) ± √((-12)² - 4(1)(-54))) / 2(1)

x = (12 ± √(144 + 216)) / 2

x = (12 ± √(360)) / 2

x = 6 ± 3 √(10)

Therefore,

The solutions to the equation are:

x = 6 + 3 √(10) or x = 6 - 3 √(10)

Learn more about equations here:

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Answer:

4

Step-by-step explanation:

note that [tex]\sqrt{x^2}[/tex] = x , then

[tex]\sqrt{(2-\sqrt{5})^2 }[/tex] + [tex]\sqrt{(2+\sqrt{5})^2 }[/tex]

= 2 - [tex]\sqrt{5}[/tex] + 2 + [tex]\sqrt{5}[/tex] ← collect like terms

= 4

Answer:

54

Step-by-step explanation:

C=πd

π=3

d=18

C=3×18

Therefore C=54

Answer:

c=54

Step-by-step explanation:

Answer:

y-2 = -11 (x-5)

Step-by-step explanation:

2 is the y value of the point, 5 is the x value and -11 is the m value.

Slope point form: y-y1 = m(x-x1)

Hope that helps

Answer:

- 6

Step-by-step explanation:

- [tex]\frac{1}{2}[/tex] x + 3 ≥ 5 ( subtract 3 from both sides )

- [tex]\frac{1}{2}[/tex] x ≥ 2 ( multiply both sides by  2 to clear the fraction )

- x ≥ 4

Multiply both sides by - 1, reversing the symbol as a result of multiplying by a negative quantity.

x ≤ - 4

The only value from the set which satisfies the inequality is

x = - 6

Answer:

3 3/4

Step-by-step explanation:

Answer:

1.29s = 11.61

s = 9

Step-by-step explanation:

1.29s = 11.61

s = 11.61/1.29

s = 9

Answer:

The correct answer is Ari's work

Step-by-step explanation:

right on edge

Welcome!^^

Answer:

is saying the half of q is 9 so you have to find out the value of q and when you find out the value for example x=18 the half of 18 is 9 I don't know if you undertand my explication

Step-by-step explanation:

18 the half of 18 is 9 because 9+9=18

Answer:

B)

Step-by-step explanation:

10/5 + 4(72 - 6)

10/5 + 288 - 24          Distribute the 4 to 72 and 6

2 + 288 - 24               Divide

2 + 264                       Combine the like terms

262                        

Answer:

P = 22.22

Step-by-step explanation:

Answer:

20 necklaces

Step-by-step explanation:

If Elizebeth is starting off w/10 necklaces we can find on the graph that $10 buys an additional 10 necklaces. Now knowing that information we can add 10 necklaces to our original necklaces and get 20 necklaces. We can also find that our unit rate of change is 10 dollars : 10 necklaces or 1 dollar : 1 necklace. Knowing this can help us solve future problems like how many necklaces can Elizebeth get for x dollars.

Answer:

-7 is the answer!! :) hope this helps

Answer:

Please give Brainliest!

Step-by-step explanation:

The three sides are 36ft, 72ft, and 59 ft.

Answer:

(f+g) (x)= -5x-4= (-3x-2)

or, -5x + 3x= -4+2

or, -2x= -2

or,x= 2/2

:. x= 1

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

Answer:

Triangles QST and RST are similar.  Therefore, the following is true:

q       s

--- = ----   This results in 10q=rs.

r      10

Also, since RST is a right triangle, 4^2 + s^2 = q^2.

Since QST is also a right triangle, s^2 + 10^2 = r^2.  

           4      s

Also:  ---- = -----    which leads to s^2 = 40

           s      10

Because of this, 4^2 + s^2 = q^2 becomes 16 + 40 = 56 = q^2

Then q = sqrt(56) = sqrt(4)*sqrt(14) = 2*sqrt(14) (answer)

Answer:

[tex]-\sqrt{5\\}[/tex]

Step-by-step explanation:

Answer:

answer attached: x = 5√2

Step-by-step explanation:

Answer:

Step-by-step explanation:

All of the right triangles are similar. This means ...

  long side / short side = x/2 = 25/x

Multiplying by 2x gives ...

  x² = 25·2

  x = (√25)(√2)

  x = 5√2

_____

Additional comment

The "geometric mean" of 'a' and 'b' is √(ab). With this in mind, you can see that x is the geometric mean of the lengths 2 and 25. This is always true for this right-triangle geometry.

There are two other geometric mean relations in this geometry, having to do with the other possible ratios of sides. In effect, the length of a segment that touches the hypotenuse (longest side) of the triangle is the geometric mean of the two segments of the hypotenuse it touches.

Left side = √(2·27) = 3√6

Bottom side = √(25·27) = 15√3

Answer:

Answer is in the attached file.

Answer:

B.

Step-by-step explanation:

You just remove 3 zeros from 10.

10 —> 1 —> 0.1 —> 0.01 :)

[tex]\dfrac{3^{15}}{3^3} = 3^{15 -3} = 3^{12}[/tex]

Answer:

See image

Step-by-step explanation:

Use Pythagorean Theorem

a^2 + b^2 = c^2

See image

Answer:

k = 9

Step-by-step explanation:

Consider the pattern on the right side , that is

[tex]T_{k}[/tex] = k(k + 2) + 1 = k² + 2k + 1

Equating

k² + 2k + 1 = 100 ( subtract 100 from both sides )

k² + 2k - 99 = 0 ← in standard form

(k + 11)(k - 9) = 0 ← in factored form

Equate each factor to zero and solve for k

k + 11 = 0 ⇒ k = - 11

k - 9 = 0 ⇒ k = 9

But k > 0 , then k = 9

Answer:

X^2+14x +40

Step-by-step explanation:

La base es x+4 y la altura es x+10 multiplicas la base por la altura

Answer:

Incorrect

Step-by-step explanation:

for your slope go down two to the right one

Answer:

3

Step-by-step explanation:

If two lines are parallel then their slope is the same

y=mx+b

m= slope

b= y-intercept