Find the solutions to x² = 12.
O A. x = +2√3
OB. x=+5√2
X
C. x= +2√5
OD. x = 13√2

Answers

Answer 1

Answer:

[tex]x = \pm 2\sqrt3[/tex]

Step-by-step explanation:

Hello!

Let's use the square root property to solve this question

Solve:

[tex]x^2 = 12[/tex][tex]\sqrt{x^2} = \sqrt{12}[/tex][tex]x = \pm\sqrt{12}[/tex][tex]x = \pm \sqrt{4 * 3}[/tex][tex]x = \pm 2\sqrt3[/tex]

The answer is option A: x = ±2√3


Related Questions

How do you decompose the number 120 into a prime number

Answers

Answer:

But it not a prime number :( maybe divide

Step-by-step explanation:

how to turn 8000 ÷ 5 = 1600 in too an equation like[tex]\sqrt[5]{8000}[/tex] or just a step by step explanation

Answers

Answer:

Here is the long division

Step-by-step explanation:

What is the volume of the triangular right prism?
(7.3ft
7 ft-
10 ft
4 ft
A. 140 ft3
B. 280 743
c. 1,022 ft3
D. 2,044 ft3

Answers

Answer:D

Step-by-step explanation:

The volume of a sphere with radius r
is given by the formula V=4/3 π r^3.
Find the volume of a sphere with radius 10 cm is?

Answers

Answer:

4186.6 cm³

[tex] \: [/tex]

Step-by-step explanation:

In the question, it is given that a sphere has a radius of 10 cm and we have to find the volume of the sphere.

To Find the volume of the cone, we must know this formula :

[tex]\\{\longrightarrow{ \qquad{\underline{\boxed {\pmb{\frak { Volume_{(sphere) }= \dfrac{4}{3} \: \pi {r}^{3}}}}}}}} \\ \\[/tex]

Now, we will substitute the values in the formula :

[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4}{3} \: \times 3.14 \times {(10)}^{3}}}}}}} \\ \\[/tex]

[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4}{3} \: \times 3.14 \times 1000}}}}}} \\ \\[/tex]

[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4}{3} \: \times 3140}}}}}} \\ \\[/tex]

[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4 \times 3140}{3} }}}}}} \\ \\[/tex]

[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{12560}{3} }}}}}} \\ \\[/tex]

[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= 4186.6 }}}}}} \\ \\[/tex]

Therefore,

The volume of the sphere is 4186.6 cm³

Given :

Radius of sphere is 10 cm.

To Find :

Volume of sphere.

Solution :

As we know that volume of sphere is calculated by the formula :

V = 4/3 πr³

Here,

V is volume r is radius Value of π is 22/7

Putting the values in the formula,

>> V = (4 / 3) × (22 / 7) × (10)³

>> V = (4 / 3) × (22 / 7) × (10 × 10 × 10)

>> V = (4 / 3) × (22 / 7) × (10 × 100)

>> V = (4 / 3) × (22 / 7) × 1000

>> V = 4 × 22 × 1000 / 3 × 7

>> V = 88 × 1000 / 3 × 7

>> V = 88000 / 3 × 7

>> V = 88000 / 21

>> V = 4190.47 cm³

Each alice is 1/10 of an orange if he brings 12 whole oranges how many sloces are there ?

Answers

Answer:

there are 120 slices of orange.

Step-by-step explanation:

The reason for this is because if theres 10 slices per orange, and there is 12 oranges, you multiply 10x12 and you get 120 slices.

PLSSS HELPPPPP with b !!!

Answers

Step-by-step explanation:

your a. is wrong.

so, we need to do both.

a.

you did not really read carefully. DE = 4x and not 4.

DE = 4x does not mean x = 4. absolutely not.

so, you cannot just use x=4 in the first triangle.

but you are right, AB and DE correlate between the 2 congruent triangles.

therefore

3x + 6 = 4x

6 = x

so, AB = 3x + 6 = 3×6 + 6 = 18 + 6 = 24 ft

b.

congruent means that the sides and the angles are the same between the 2 triangles.

so,

6y + 12 = 8y + 2

12 = 2y + 2

10 = 2y

y = 5

so, the angle EDF is

8y + 2 = 8×5 + 2 = 40 + 2 = 42°

question 1. write the product using exponents

Answers

Answer:

(- 0.9)³

Step-by-step explanation:

(- 0.9) × (- 0.9) × (- 0.9)

= (- 0.9)³

Estimate
754÷13
Hurry up please

Answers

Answer:

754 divided by 13= 58

I hope this Helps! ;)

I believe it's 58 my friend! :)

CAN SOMEONE PLASE HELP ME WITH THIS PROBLEM

Answers

Answer:

Step-by-step explanation:

26. Each weekday, 3,200,000 people in Massachusetts
commute to work. Of the total commuters, 403,200 take
public transportation. What percentage of commuters take
public transportation?

Answers

Answer: 12.6%

Step-by-step explanation:

403,200/3,200,000 = 0.126

0.126 = 12.6%


Justus has a flexible container that holds 200 milliliters of alr at a temperature of 300 kelvins and a pressure of 100 kilopascals. Justus wants to
decrease the volume of the alr inside the container to 100 milliliters.
He can do this either by changing the temperature to
kelvins or by changing the pressure to
kilopascals.

Answers

Answer:

See below ~

Step-by-step explanation:

Based on the Ideal Gas Equation,

V ∝ TV ∝ 1/P

Using T :

V₁/T₁ = V₂/T₂200/300 = 100/T₂T₂ = 100/200 x 300T₂ = 0.5 x 300T₂ = 150 K

Using P :

P₁V₁ = P₂V₂100 x 200 = P₂ x 100P₂ = 200 kPa

He can do this either by changing the temperature to 150 kelvins or by changing the pressure to 200 kilopascals.

a water barrel that had 4 gallons of water is being filled with water at a rate of 4 gallons per minute . write a function

Answers

Answer:

y=4x+4

Step-by-step explanation:

using y=mx+b, y is y since we are writing a function. 4 would be the slope, as that is added per minute, so that takes the place of m, and x stays the same, which leaves b, the y intercept, to be 4. this is because the barrel already had 4 gallons inside before.

[tex]\begin{aligned} &\text { 55. At which term does the sequence }\\ &\{10,12,14.4,17.28, \ldots\} \text { exceed } 100 ? \end{aligned}[/tex]

Answers

Answer:

14th term

Step-by-step explanation:

12÷10 = 1.2

14.4÷12 = 1.2

17.28÷14.4 = 1.2

Then it’s a geometric sequence of first term ‘V₀=10’ and common ration ‘q = 1.2’

We call it (Vn)

The general term of the sequence:

Vn = V₀×qⁿ⁻¹ = 10×(1.2)ⁿ⁻¹

To determine the term at which the sequence exceeds 100 we have to solve the equation:

Vn ≥ 100

⇔ 10×(1.2)ⁿ⁻¹ ≥ 100

⇔ (1.2)ⁿ⁻¹ ≥ 100/10

⇔ (1.2)ⁿ⁻¹ ≥ 10

⇔ ln(1.2)ⁿ⁻¹ ≥ ln(10)

⇔ (n-1)×ln(1.2) ≥ ln(10)

[tex]\Longleftrightarrow n-1\geq\frac{ln10}{ln1.2}[/tex]

[tex]\Longleftrightarrow n-1\geq12.6\\\Longleftrightarrow n\geq13.6\\\Longrightarrow n=14[/tex]

Verification:

[tex]V_{14}=10\times \left( 1.2\right)^{14-1} =106.993205379072[/tex]

Solve using appropriate property:
3/8 × -4/5 + 7/9 × 3/8 (-3/8 × 8/10)

Answers

Answer:

Exact Form:

- 31/80

Decimal Form:

-0.3875

Step-by-step explanation:

hope this helps

sorry if wrong

Answer:

-0.3875

Step-by-step explanation:

Pa Brainless

Leslie keeps her goats
in a circular pen
enclosed by a fence.
The total length of the
fence is 100 yards.
What is the area of the
goat pen?

Answers

Answer:

Step-by-step explanation:

Circumference = 2 π r

100 =  2 π r

r = 100 / 2π

= 50/π

So the area = π r^2

=  π * (50/π)^2

= 2500/π

= 795.8 yd^2.

4.
Triangle DEF is shown below.
E
19-6 m
I
10-4 m
13-2 m
D
It has sides of length 10.4metres, 13.2metres and 19.6metres.
Calculate the size of angle EDF.

Answers

Answer:

111.75 degrees

Step-by-step explanation:

EDF = cos^-1((b²+c²-a²)/2bc)

EDF = cos^-1((10.4²+19.6²-13.2²)/2(10.4)(19.6))

EDF = 111.75 degrees

What value for c completes the square for the quadratic x2 + 12x + c?

Answers

The value for c is 36 which completes the square for the quadratic x² + 12x + c.

What is a quadratic equation?

The polynomial having a degree of 2 is termed as the quadratic equation.It means that the equation will have the maximum power of 2.

Here we have the equation

=x²+12x+c

=x^2+12x+36

=x^2+6x+6x+36

=x(x+6)+6(x+6)

=(x+6)(x+6

=(x+6)²

hence value for c is 36 which completes the square for the quadratic x² + 12x + c.

To know more about quadratic equation follow

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PLEASE I NEED YOUR HELP ASAP!!!!!

Answers

Answer:

  7/2 ≤ x < 4

Step-by-step explanation:

When an increasing function is applied to both sides of an inequality, their order does not change. We can solve the given inequality as though the square root symbol were not present.

__

Inequality solution

  5 -x > 2x -7

  12 > 3x . . . . . add x+7

  4 > x

domain restrictions

The domain of f(x) requires that its argument be non-negative.

  5 -x ≥ 0   ⇒   x ≤ 5

  2x -7 ≥ 0   ⇒   x ≥ 7/2

full solution

Together with the domain restriction on f(x), the solution to the inequality is ...

  7/2 ≤ x < 4

Can someone please help me solve this? I’ll give you a brainliest pls!!!

Answers

Answer:

1. 84º

Step-by-step explanation:

1. CEB = 180º - 96º

  CEB = 84º

you do the rest

24. Use the intercepts to graph the equation.

Answers

Answer:

See below ~

Step-by-step explanation:

Finding x-intercept

Take y = 02x - 5(0) = 102x = 10x = 5x-intercept is at (5, 0)

Finding y-intercept

Take x = 02(0) - 5y = 10-5y = 10y = -2y-intercept is at (0, -2)

Graph (with points marked)

Step-by-step explanation:

[tex]2x - 5y = 10 \\ 2x = 10 - 5y \\ x = \frac{10 - 5y}{2} [/tex]

when y=0,-2,2,-4,4

then x=5,10,0,15,-5,

Aaron flips a coin three times, how many outcomes have only one head?

1

2

3

4

Answers

3

Step-by-step explanation:

there are 6 solutions, 3 contain 2 heads, i think. dont judge me if its wrong.

Fill in the missing number. 50% of ????= 13

Answers

6.5 is the answer be great

HELPPP!! I’ll give brainliest

Answers

40% should be the answer
If a dot its=10 persons then every sample which at least has one dot counts, which means 80%

In which number does the digit 2 have a value that is ten times as great as the value of the digit 2 in the number 135,284? A 29,831

B 42,938

C 298,893

D 326,894

Answers

Answer:

it's option B 42,938

Step-by-step explanation:

in the question the value of 2 in 135,284 is 200

200× 10 =2000

therefore the number with 2 in thousands place is option B 42,938

Work out the surface area of this cylinder
Diameter is 12 cm
Height is 25 cm

Answers

Answer:

The surface area of this cylinder is  1168.67

Step-by-step explanation:

To find the surface area of a cylander use this formula

A = 2π[tex]\frac{d}{2}[/tex]h+2π([tex]\frac{d}{2}[/tex])²

Plug in

A = 2 × π × [tex]\frac{12}{2}[/tex] × 25 + 2 × π × [tex]\frac{12}{2}[/tex]²

Answer is 1168.67

What is the answer please?

Answers

Step-by-step explanation:

optically, they are congruent.

so, it must be a reflection followed by a translation.

there is no 90° rotation. and the result cannot be created only by a reflection.

Find the slope and y-intercept of the graph of the equation.
y = 8x +9

Answers

Answer:

Slope = 8

Y-intercept = (0, 9)

Step-by-step explanation:

Slope-intercept form of an equation :

y = mx + bm = slopeb = y-intercept

Therefore, on comparing with the given equation :

Slope (m) = 9Y-intercept (b) = (0, 9)

PLEASE HELP ASAP
If (x + 3)2 = 42, what is the approximate positive value of x?
A) 0.48
B) 3.48
C) 5.48
D) 6.48

Answers

An expression is defined as a set of numbers, variables, and mathematical operations. The value of x is 3.48.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The solution of the expression (x+3)²=41 can be found as shown below,

(x+3)²=42

(x+3)=√42

x+3=6.48

x = 3.48

Hence, the value of x is 3.48.

Learn more about Expression:

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What is the product of 76 and 6.0 x 10^2 expressed in scientific notation?

Answers

Answer:

45.6 x 10^3

Step-by-step explanation:

76 can be expressed as 7.6 x 10^1.

Now, you can multiply the two values together.

7.6 x 6.0 is 45.6.

Then, add the two exponents together:

1 + 2 = 3

45.6 x 10^3

What is an estimate for the square root of 150? (Do not find the exact value) Show work

Answers

Answer:

Somewhere between 12 and 13, perhaps 12.25

Step-by-step explanation:

This is a (rather) simple explanation:

Look for 2 square numbers that are either side of 150

In this case, it is 144 and 169

The square root of 144 is 12 and the square root of 169 is 13

Therefore we can estimate that the square root of 150 is somewhere between 12 and 13.

As 150 is a lot closer to 144 to 169, I would estimate around 12.25 but you do not need an exact value :)

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