Which of the following steps can be performed so that the square root property may easily be applied to 2x2 = 16? (1 point)
1. The square root property requires a quantity squared by itself on one side of the equation. The only quantity squared is 16, so divide both sides by 2 before applying the square root property.
2. The square root property requires a quantity squared by itself on one side of the equation. The only quantity squared is x, so divide both sides by 2 before applying the square root property.
3. The square root property requires a quantity squared by itself on one side of the equation. The only quantity squared is x, so divide both sides by 16 before applying the square root property.
4. The square root property requires a quantity squared by itself on one side of the equation. The only quantity squared is 16, so divide both sides by 16 before applying the square root property.​

Answers

Answer 1

Answer:

[tex]\Large \boxed{\mathrm{Option \ 2}}[/tex]

Step-by-step explanation:

[tex]2x^2 =16[/tex]

The square root property requires a quantity squared by itself on one side of the equation. The only quantity squared is x, so divide both sides by 2 before applying the square root property.

The x variable should be isolated on one side of the equation. The x variable is squared so before performing the square root property where we take the square root of both sides, we divide both sides by 2, then take the square root of both sides.

Dividing both sides by 2.

[tex]\displaystyle \frac{2x^2 }{2} =\frac{16}{2}[/tex]

[tex]x^2 =8[/tex]

Taking the square root of both sides.

[tex]\sqrt{x^2 } =\pm \sqrt{8}[/tex]

[tex]x=\pm 2\sqrt{2}[/tex]

Answer 2

Answer:

Option 2

Step-by-step explanation:

2x² = 16

Since x is completely squared and and 2 isn't , so we need to divide both sides by 2. As to find x , we need to "isolate" x first so that is why we need to get rid of 2 with the x². We'll divide both sides by 2 in order to get rid of 2.

Dividing both sides by 2

=> x² = 8

Now , that is the x is isolated so we'll take square root on both sides

=> x = ±2√2


Related Questions

Which item is more economical?

Answers

Answer:

what are the items

Step-by-step explanation:

Find the mode for the data set 18 24 24 24 25 37 37 46

Answers

Answer:

the mode would be 24

Step-by-step explanation:

it is what numbers appears most often

The mode is the number that appears most often which is 24

A sequence of transformations is described below. A reflection over a line \overleftrightarrow{PQ} PQ ​ P, Q, with, \overleftrightarrow, on top A rotation about the point PPP Another reflection over \overleftrightarrow{PQ} PQ ​ P, Q, with, \overleftrightarrow, on top A rotation about the point QQQ Which of the following must be preserved under this sequence of transformations? Choose 1 answer: Choose 1 answer: (Choice A) A Angle measures only (Choice B) B Segment lengths only (Choice C) C Both angle measures and segment lengths (Choice D) D Neither angle measures nor segment lengths

Answers

Answer:

The correct option is;

(Choice C) Both angle measures and segment lengths

Step-by-step explanation:

The given transformations are;

The reflection over the line, [tex]\overleftrightarrow{PQ}[/tex], with, A rotation about the point P. Another reflection over [tex]\overleftrightarrow{PQ}[/tex]. A rotation about the point Q, we have;

The transformations involve changes only in the orientation and location of the pre-image, which remain rigid, therefore, there are no changes in the segment lengths or angle dimensions

Therefore, the correct option is,  both angle measures and segment lengths.

(Choice C) C Both angle measures and segment lengths

how many five card hands that contain all 4 aces can be dealt from a standard pack of 52 cards

Answers

Answer:

48

Step-by-step explanation:

52-4=48

hope this helps

cuantos son 4 elevado a 4???​

Answers

Answer:Answer and Explanation:

When a number is said to be 'to the fourth power,' that just means that you need to multiply the number by itself four times. For example, 7 to the...

Step-by-step explanation:

math now..!! Help..?

Answers

Answer:

2p + 12

2 (p = +6) + 12 = 20

Answer:

I think its 6

Step-by-step explanation:

because you have to add 9 and 3 together then you get 12 and you have to divide 2p with 12 and you'll get 6

If the amount of VAT paid for an item at 13% was Rs 390, at what price was the item sold?​

Answers

Answer:

Step-by-step explanation:

Let the price of the item = Rs x

13% of x = 390

[tex]\frac{13}{100}*x=390\\\\\\x = 390*\frac{100}{13}\\\\\\[/tex]

x = Rs. 3000

PLEASE HELP
You have to create 3 functions to make hills on a grap

Requirements are in the photo.
(ignore graphs)

4. Write equations for three hills that do meet the requirements. Sketch them on one axis. (For the
purposes of this exercise, this is a sketch, so the steepness and minimums and maximums of the
graphs do not need to be exact). (6 points: 1 point for each equation, 1 point for each sketched curve)

Answers

Answer:

Hill 1: F(x)  = -(x + 4)(x + 3)(x + 1)(x - 1)(x - 3)(x - 4)

Hill 2: F(x)  = -(x + 4)(x + 3)(x + 1)(x - 1)(x - 3)(x - 4)

Hill 3: F(x) = 4(x - 2)(x + 5)

Step-by-step explanation:

Hill 1

You must go up and down to make a peak, so your function must cross the x-axis six times. You need six zeros.

Also, the end behaviour must have F(x) ⟶ -∞ as x ⟶ -∞ and F(x) ⟶ -∞ as x⟶ ∞. You need a negative sign in front of the binomials.

One possibility is

F(x)  = -(x + 4)(x + 3)(x + 1)(x - 1)(x - 3)(x - 4)

Hill 2

Multiplying the polynomial by -½ makes the slopes shallower. You must multiply by -2 to make them steeper. Of course, flipping the hills converts them into valleys.

Adding 3 to a function shifts it up three units. To shift it three units to the right, you must subtract 3 from each value of x.

The transformed function should be

F(x)  = -2(x +1)(x)(x -2)(x -3)(x - 6)(x - 7)

Hill 3

To make a shallow parabola, you must divide it by a number. The factor should be ¼, not 4.

The zeroes of your picture run from -4 to +7.

One of the zeros of your parabola is +5 (2 less than 7).

Rather than put the other zero at ½, I would put it at (2 more than -4) to make the parabola cover the picture more evenly.

The function could be

F(x) = ¼(x - 2)(x + 5).

In the image below, Hill 1 is red, Hill 2 is blue, and Hill 3 is the shallow black parabola.

jack has 13 lengths of rope. Each is 6 3/4 meters long. How much rope does Jack have to divide amond 20 people

Answers

Hey there! I'm happy to help!

First we multiply the the length of each length of rope by the number of lengths of rope (try saying that five times fast).

6 3/4×13=87 3/4

Now, we divide this by 20 to see how much rope each person gets.

87 3/4÷20= 4 31/80

Therefore, each person has 4 31/80 or 4.3875 meters of rope.

I hope that this helps! Have a wonderful day! :D

if f(x)=x-6 and g(x)=x^1/2(x+3), find g(x) X f(x)

Answers

Answer:

            [tex]\bold{f(x)\cdot g(x)=\big x^\frac52-3\big x^\frac32-18\big x^\frac12}[/tex]

Step-by-step explanation:

[tex]f(x)=x-6\ ,\qquad g(x)=\big x^\frac12(x+3)\\\\\\f(x)\cdot g(x)=(x-6)\cdot\big x^\frac12(x+3)=\big x^\frac12(x^2-3x-18)=\big x^\frac52-3\big x^\frac32-18\big x^\frac12[/tex]

What are the zeros of this function?
A. X= 2 and x = -6
B. x= 0 and x = -6
C. X= 0 and x = 5
D. X = 0 and x= -5

Answers

Answer:

I think its C because if I remember correctly zero of the function is just the x intercept

the answer is c: 0 and 5, it’s where the lines cross the x-axis

Sondra receives an allowance of $10 per week, plus an additional $5 for each chore she completes. Which graph represents Sondra's earnings?

Answers

Answer: I know this is a bit late but for anyone looking the answer to this question, i got it right here :D.

Step-by-step explanation: I guessed and got it correct.

The graph representing Sondra's weekly earnings is plotted and attached.

What is a expression? What is a mathematical equation? What is Equation modelling ?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is Sondra receives an allowance of $10 per week, plus an additional $5 for each chore she completes.

Assume that her weekly earnings is $y. Assume she does [x] extra chores in a week. Then, we can model her earnings by the equation -

y = 5x + 10.

Refer to the graph attached.

Therefore, the graph representing Sondra's weekly earnings is plotted and attached.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

#SPJ2

I NEED HELP ASAP FOR THIS MATH QUESTION

Answers

Answer:

The answer is C.

Step-by-step explanation:

First, you want to isolate the variable you are look for, 'l'. First subtract [pi]L from both sides. Then subtract S from both sides.

-[pi]L+S=[pi]r(superscript)2 ->

-[pi]L=[pi]r(superscript)2-S

Now, since you have your variable 'l', you want to remove the [pi] away from your variable. To do this, multiply by negative 1 divided by pi, or -1/[pi].

L=S-r(superscript)2.

Therefore, the answer is C.

Answer:

C

Step-by-step explanation:

[tex]s = \pi .l \: + \pi. {r}^{2} [/tex]

Make the term including 'l' stand alone.

[tex]s - \pi. {r }^{2} = \pi.l[/tex]

Now make L stand alone by dividing through by pi.

[tex] \frac{s - \pi. {r}^{2} }{\pi} = l[/tex]

This is the same as

[tex] \frac{s}{\pi} - {r}^{2} = l[/tex]

Given that p=x^2-y^2/x^2+xy
I. Express p in the simplest form
ii. Find the value of p, if x=-4 and y=-6

Answers

Answer:

When x = -4 and y = -6, p = 37.75

Step-by-step explanation:

Given that p = x² - y²/x² + x·y, we have;

p = (x² × x² -y² + x·y×x²)/x²

p = (x²⁺² - y² + x¹⁺² × y)/x²

p = (x⁴ - y² + x³·y)/x²

Therefore, p in the simplest form is given as follows;

[tex]p = \dfrac{x^4 - y^2 + x^3 \cdot y }{x^2}[/tex]

To find the value of p when x = -4 and y = -6, we plug in the value of x and y into the above equation to get the following equation;

[tex]p = \dfrac{(-4)^4 - (-6)^2 + (-4)^3 \cdot (-6) }{(-4)^2} = 37.75[/tex]

Therefore, the value of p when x = -4 and y = -6 is equal to 37.75.

I need help answering this

Answers

Answer:

100 degrees

Step-by-step explanation:

What is the simplest form of this expression? 3x(-x2 + 2x + 12)

Answers

Answer:

-3x³ + 6x² + 36x

Step-by-step explanation:

3x(-x² + 2x + 12)

3x*-x² + 3x*2x + 3x*12)

-3x³ +6x² + 36x

This event is independent, true or false?



You roll a fair six-sided die twice. The first roll show a three and the second roll shows a four.

True
False

Answers

Answer:

This event is independent this statement is true because we cannot control the motion of a dice.

Step-by-step explanation:

Hope it will help you :)

Answer:I'm pretty sure it's independent

Find the equation of the line with a slope of − 1/2 through (4, 5)

Answers

Answer: Hello:

Slope - intercept form is y = mx + b.

Since -1/2 is your slope and 5 is your y - intercept, all you need to do is substitute those values into the equation:

y = -1/2 + 5

Hope this helps!

If you invest $600 at 5% interest compounded cptinuously, how much would you make after 6 years?

Answers

Answer:

180

Step-by-step explanation:

1) 600 % 100 = 6 (to get 1% of 600)

2) 6 x 5 = 30 (to get 5% pf 600)

3) 30 x 6 =180 (to get the amount of profit per the 6 years)

please give brainliest if this helps

What is remainder when f(x) is divided by (x-a) ​

Answers

By the polynomial remainder theorem the remainder is equal to [tex]f(a)[/tex]

a 6 meter pole is supported by guy wires that are anchord to the ground as shown. what is sin d?

Answers

Answer:

6/6.71

Step-by-step explanation:

If you are given a 6-meter pole that is supported by guy wires that are anchored to the ground, you can create a relationship with respect to sin theta. sin theta is equal to the 6 meters over the slant line supported by the pole. as shown.  

Tony owns a shop that sells mobile phones and laptops. The retail price of a mobile phone is $240, and it will include a sales tax of 15% on the retail price. If the shop owner offers a discount of $46 off the final price including the sales tax, what is the percent decrease for the price of the mobile phone? A 20% B 15% C 19.17% D 16.67%

Answers

Answer:

Percent decrease in mobile = 19.17 % (Approx)

Step-by-step explanation:

Given:

Retail price of mobile phone = $240

Sales tax = 15% on retail value

Total discount including sales tax = $46

Find:

Percent decrease in mobile

Computation:

Cost of mobile = $240(85/100)

Cost of mobile = $204

Percent decrease in mobile = [$46 - 15%]204

Percent decrease in mobile = 19.17 % (Approx)

Simplify 3(2x - 5). 1)-6x - 15 2) 6x - 15 3) 6x - 8 4) 5x - 2

Answers

Answer:

[tex] \boxed{ \bold{ \: 6x - 15}}[/tex]

Option B is the correct option.

Step-by-step explanation:

[tex] \mathsf{3(2x - 5)}[/tex]

Distribute 3 through the parentheses

⇒[tex] \mathsf{3 \times 2x - 3 \times 5}[/tex]

Calculate the product

⇒[tex]6x - 15[/tex]

Hope I helped!

Best regards!!

Solve for 'x' in both of the following problems. Show all your work/explanations on your own paper and then submit a picture of your work and answers in the dropbox below.

Answers

Answer/Step-by-step explanation:

1. <B is an inscribed angle in a circle which intercepts arc AC.

Therefore, m<B = ½ of m<AC

B = ½ * 128° = 64°

x = 180 - (64 + 43)

x = 180 - 107 = 73°

2. The circle given shows two chords intersecting at point H.

According to intersecting chords theorem, the products of the segments formed by one chord equals the product of the segments formed by the other.

Therefore,

[tex] 10*x = 14*5 [/tex]

Solve for x

[tex] 10x = 70 [/tex]

Divide both sides by 10

[tex] x = 7 [/tex]

Question
0
Which angle between 90 and 270 has the same sine value as 60°?


Which angle between –180° and 0 has the same cosine value as 290°?


degrees

Answers

Answer:

(i) 120°

Step-by-step explanation:

(i)

sine 90 = 1

sine 120 = 0.87 (rounded up to two decimal places)

sine 150 = 0.5

sine 180 = 0

sine 210 = -0.5

sine 240 =  -0.87 (rounded up to two decimal places)

sine 270 = -1

sine 60 =  0.87 (rounded up to two decimal places)

So the angle x such that 90° < x < 270° that has the same sine value as 60° is 120°

please help me answer this in variable terms and constant terms -5.6x + 7 + 24y - 9

Answers

Answer:

Variable terms:

x and y

Constant terms:

7 and -9

Coefficient terms:

-5.6 and 24

Which theorem or postulate proves the two triangles are similar?

AA Postulate
SSS Theorem
AS Postulate
SAS Theorem

Answers

Answer:

AA Postulate

Step-by-step explanation:

The bottom lines are parallel. In this case they are also congruent. Combined with the top angle this makes in AA postulate

9=m/3=4 please help!!

Answers

Answer:

Step-by-step explanation:

9 = m/3 + 4

5 = m/3

m = 15

Answer: m=15

Step-by-step explanation:

[tex]9=\frac{m}{3}+4[/tex]

subtract 4 on both sides

[tex]\frac{m}{3}+4-4=9-4[/tex]

[tex]\frac{m}{3}=5[/tex]

multiply 3 on both sides

[tex]\frac{3m}{3}=5\cdot \:3[/tex]

[tex]m=15[/tex]

acute angle between the hours hand and the minute hand at 1pm​

Answers

Answer: 30 degrees

Step-by-step explanation:

1 hour = 60 min = 360 degree

1 min = 360/60 degree

1 min = 6 degree

and the gap of hour hand and minute hand at 1pm, is of 5 min

therefore acute angle formed is 5 X 6 = 30 degrees.

:-)

Answer:

30 degrees

Step-by-step explanation:

1 hour = 60 min = 360 degree

1 min = 360/60 degree

1 min = 6 degree

and the gap of hour hand and minute hand at 1pm, is of 5 min

therefore acute angle formed is 5 X 6 = 30 degrees.

A classroom floor has an area of
(30x^3 + 8x^2, with a width of 2x feet.
What is the length of the floor?

Answers

Answer:

15x² + 4x feet

Step-by-step explanation:

We need to calculate (30x³ + 8x²) / 2x.

(30x³ + 8x²) / 2x

= 30x³ / 2x + 8x² / 2x

= 15x² + 4x

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