Find the factored form of the expression. Use radicals or i as needed. 6x^2+150=0

Answer:

Step-by-step explanation:

Answer:

72 divided 12x3 to the second power= 18

Answer: 18

Step-by-step explanation:

72÷ 12 × 3= 18

I hope its help

Answer:

  (b)  4.2

Step-by-step explanation:

The distance from a point to a line can be found using the formula. To use it, we need the equation of the line in general form.

We notice that the coordinates of the given points have the same y/x = 2/3 ratio. This means they lie on the line y = 2/3x. The equation for that line, written in general form is ...

  y = 2/3x

  3y = 2x

  2x -3y = 0 . . . . . . general form equation for the line through the points.

The formula for the distance from (x, y) to the line ax+by+c=0 is ...

  d = |ax +by +c|/√(a²+b²)

The distance from (x, y) to our line is given by the formula ...

  d = |2x -3y|/√(2² +(-3)²)

  d = |2x -3y|/√13

For point P(9, 11), the distance to the line is ...

  d = |2·9 -3·11|/√13 = |18 -33|/√13 = 15/√13 ≈ 4.2

Answer:

0

Step-by-step explanation:

Answer:

Your answer is B!

Step-by-step explanation:

Have an amazing day/night!

Please mark me brainliest!

Answer:

2(8a + 5)

Step-by-step explanation:

Hi there!

16a + 10

The two terms here are 16a and 10. Both of them are divisible by 2. Factor 2 out of the terms:

= 2(8a + 5)

Now, there are no more common factors between 8a and 5. Therefore, this expression is now fully factored.

I hope this helps!

Answer:

11 1/3

i did the test

Answer:

The answer is 11 1/3

Step-by-step explanation:

I took the test

Answer:

(6;-3).

Step-by-step explanation:

[tex]\left \{ {{-2x-5y=3} \atop {3x+8y=-6}} \right. \ = > \ \left \{ {{x+3y=-3} \atop {3x+8y=-6}} \right. \ = > \ \left \{ {{x+3y=-3} \atop {-y=3}} \right. \ = > \ \left \{ {{y=-3} \atop {x=6}} \right.[/tex]

Answer:

  f(x) = 2e^(x^3/3) +1

Step-by-step explanation:

This is called a "separable" differential equation, because the variables can be separated:

  [tex]\dfrac{dy}{y-1}=x^2\cdot dx[/tex]

Now, both sides can be integrated.

  [tex]\displaystyle \int{\dfrac{dy}{y-1}}=\int{x^2}\,dx\\\\\ln(y-1)=\dfrac{x^3}{3}+c_1\\\\y-1=c_2\cdot e^{x^3/3}\qquad c_2\text{ is a free constant different from $c_1$}\\\\3=c_2e^0+1\qquad\text{apply initial condition to find $c_2=2$}\\\\\textsf{Add 1 to get y alone. Use the found value of $c_2$. Replace $y$ with $f(x)$.}\\\\\boxed{f(x)=2e^{x^3/3}+1}[/tex]

Answer:

B1: 3

B2: 3

B3: 6

B4: +5

B5: +5

B6: 11

Answer: D

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

Answer:

In line 4, he did the mistake. He should have square rooted the other side as changing sides changes square to square root.

explanation:

line 1:   [tex]\sf p^2 - 10p - 11 = 0[/tex]

[tex]\sf p^2 - 10p = 11[/tex]

line 2:   [tex]\sf p^2 - 10p + 25 = 11 + 25[/tex]

[tex]\sf p^2 - 5p -5p+ 25 = 36[/tex]

[tex]\sf p(p-5)-5(p-5) = 36[/tex]

line 3:   [tex]\sf (p-5)^2 = 36[/tex]

line 4:   [tex]\sf p - 5 = \pm \sqrt{36}[/tex]

[tex]\sf p-5 = 6[/tex]   or   [tex]\sf p-5 = -6[/tex]

line 5: [tex]\sf p = 11[/tex]  or   [tex]\sf p = -1[/tex]

line 6: The solution is p = 11 or p = -1

Answer:

Answer is below

Step-by-step explanation:

2\log _5\left(x\right)+10\log _{10}\left(x\right)

Answer:

r = [tex]\frac{12\pi }{\pi }[/tex] / 2 = 6

volume = 1/3 * π * r² * h

h = 3 * V/π * [tex]r^{2}[/tex]

h = [tex]\frac{3 * 264\pi }{\pi * 6^{2} }[/tex] = 22

The height of the right cone is 22 units.

'A right circular cone is a cone where the axis of the cone is the line meeting the vertex to the midpoint of the circular base.'

According to the given problem,

Radius of the right cone = [tex]\frac{\frac{12\pi }{\pi } }{2}[/tex]

                                         = 6 units

Volume of the right cone = [tex]\frac{\pi r^{2}h }{3}[/tex]

Solving for h,

       h =  [tex]\frac{3*264\pi }{\pi *6^{2} }[/tex]

   ⇒ h = 22 units

Hence, we can conclude that the height of the right cone is 22 units.

Learn more about right cone here: https://brainly.in/question/2216106

#SPJ2

area = l x w

w = area : l

w = 5.612 x 10¹⁴ : 9.2 x 10⁷

w = 6.1 x 10⁶

the perimeter: 2(l+w)

= 2(9.2 x 10⁷ + 6.1 x 10⁶)

=1.84 x 10⁸ + 1.22 x 10⁷

=10⁷(18.4+1.22)

= 1.962 x 10⁸ cm

Answer:

P = 2.0 × 10⁸ cm

Step-by-step explanation:

5.612 × 10¹⁴ = 9.2 × 10⁷ · x

6.1 × 10⁶ = x
9.2 × 10⁷ + 9.2 × 10⁷ + 6.1 × 10⁶ + 6.1 × 10⁶ = 1.962 × 10⁸ cm

Answer:

The area is 840

Step-by-step explanation:

A=B H=20*42=840

Answer:

Translate 3 to the right and 12 down.

Dilate using point C and a scale factor of 3

Answer:

Last option

Step-by-step explanation:

Tis is because there is not much simplification of the expression that can happen.

Answer:

The last one where the mean is =-26.5 and the range is = 40

Step-by-step explanation:

Answer:

[tex]\sqrt{41}[/tex]  = x

Step-by-step explanation:

Basically, find the missing side lengths of each triangle so that you can solve for x:

1. right triangle w/ side lengths 48 and 52

2. right triangle w/ side lengths 12 and 20 (from previous triangle)

3. right triangle w/ side lengths 5 and 13

Take right triangle w/ side lengths 12, 20, and 16 (#2) and right triangle w/ side lengths 5, 13, and 12 (#3):

4. Solve for the final triangle that includes x:

Answer:

The correct solution is f + goh = x² + 6x +1

Step-by-step explanation:

f (x) = x^2

g(x) = 3x + 1

h(x) = 2x

We are to look for  f + (goh)

First we need to get the composite function goh

goh = g(h(x))

g(h(x)) = g(2x)

To get g(2x) we will substitute x in g(x) as 2x as shown below:

Given g(x) = 3x+1

g(2x) = 3(2x)+1

g(2x) = 6x+1

f + goh = x² + (6x +1)

f + goh = x² + 6x +1

Jim wrote goh as 2(3x+1) instead of 3(2x) + 1. The composite function that Jim looked for was hog not goh.

The correct solution is f + goh = x² + 6x +1

Step-by-step explanation:

Factor the trinomial with the GCF.

The GCF of all of the terms is 3.

Using the GCF:

[tex]3(5n^2-9n-2)[/tex]

Using 2 binomials to factor:

[tex]3(5n+1)(n-2)[/tex]

When unfactorized, the expression will equal [tex]15n^2-27n-6[/tex].

Answer:

1: 0.5

2: 0.921

3: 4.705

4: 2.203

5: 0.695

Answer:

[tex]5 (x - 3)( {x}^{2} + 3x + 9)[/tex]

Step-by-step explanation:

[tex]5 {x}^{3} - 135 \\ \\ = 5 \{ {x}^{3} - 27 \}\\ \\ = 5 \{ {x}^{3} - {(3)}^{3} \}\\ \\ = 5 (x - 3)( {(x)}^{2} + (x)(3) + {(3)}^{2} )\\ \\ = 5 (x - 3)( {x}^{2} + 3x + 9)[/tex]

Answer: If the question is asking to find the factor of 5x^3-135 then the answer is:
5(x-3)(x^2+3x+9)

Step-by-step explanation:

First, factor out the common term (x^3-27)

5(x^3-27)

Then, factor (x^3-27)

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

3^2 = 9

5(x-3)(x^2+3x+9) is the answer.

Step-by-step explanation:

To write the ratio into the form of n:1, divide 80 and 88 by 88.

[tex]80 \div 88 = 0.91 \: rounded[/tex]

[tex]88 \div 88 = 1[/tex]

The ratio in the form is 0.91:1 (rounded)