If a= (-9 9), find |a|, giving your answer as a surd in its simplest form.

Answers

Answer 1

Answer:

The absolute value of a is equal to 3 * √(2), which is the simplest form of the surd.

Step-by-step explanation:

The absolute value of a number is the distance of the number from zero on the number line. To find the absolute value of a complex number, we take the square root of the sum of the squares of the real and imaginary parts.

In this case, the absolute value of a is given by:

|a| = √((-9)^2 + 9^2) = √(81 + 81) = √(162) = √(9 * 18) = 3 * √(2)

Therefore, the absolute value of a is equal to 3 * √(2), which is the simplest form of the surd.


Related Questions

What is 3^8 power. Thanks!

Answers

Answer:

6561

Explanation:

Given the below;

\(3^8\)

To solve the above, we have to multiply 3 by itself for 8 times;

\(3\times3\times3\times3\times3\times3\times3\times3=6561\)

Graphing
100 POINT FOR HELP!!

Graphing 100 POINT FOR HELP!!

Answers

Hope this helps! :)……,
Graphing 100 POINT FOR HELP!!

The formula for converting temperature from Fahrenheit(F) to Celsius(C) is C = 5 (F – 32°). If the
temperature
is 77° Fahrenheit, what is it in Celsius?

Answers

Answer:

25C

Step-by-step explanation:

C=(F-32)*5/9

c=(77-32)*5/9

c=25C

After drawing a square on the board, Mr. Hinkle asked his class to identify the shape. Timothy stated that Mr. Hinkle had drawn a rhombus. Which of the following statements is true?

Answers

He drew a square best problem ever

Solve the inequality for w.
w+7<20
Simplify your answer as much as possible.
0

Answers

Answer:

w<13

Step-by-step explanation:

Works identically to a normal single-variable equation.
Subtract 7 on both sides in order to isolate w--->w+7-7<20-7
The answer (which cannot be simplified any further) is w<13.

Answer:

w < 1`3

Step-by-step explanation:

Isolate the variable w on one side of the inequality sign.

w+7<20

w<20 - 7

w<13.

Which method is best for solving the system of equations below, where you
can eliminate one variable term by adding the equations?
3x + 2y = 4
- 3x + y = 2
OA. Guess and check
B. Substitution
OC. Elimination
D. Graphing

Answers

Elimination is the best method for solving this system of equations since we can eliminate the x-term by adding the two equations together.

Option C is the correct answer.

We have,

Elimination is the best method for solving this system of equations since we can eliminate the x-term by adding the two equations together.

This will give us a single equation in y, which we can then solve for y, and use to find the value of x.

In this case, we can eliminate the x term by adding the equations.

3x + 2y = 4

-3x + y = 2

If we add the two equations, the x term will cancel out:

3x + 2y = 4

(-3x + y = 2)

0x + 3y = 6

Simplifying, we get:

3y = 6

y = 2

Now that we have found the value of y, we can substitute it into one of the equations to find the value of x.

Let's use the second equation:

-3x + y = 2

-3x + 2 = 2

-3x = 0

x = 0

Therefore, the solution to the system of equations is (x, y) = (0, 2).

Thus,

Elimination is the best method for solving this system of equations since we can eliminate the x-term by adding the two equations together.

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The variable z varies jointly with x and y. Also, z=-60 when x=3 and y=-5. Write an equation that relates x, y, and z. Find z when x=6 and y=8

Answers

The equation that relates x, y, and z is z = (k x y).  the value of z when x=6 and y=8 is 192.

How can the variation be solved?

Based on the given question, the  question can be interpreted

z = (k x y)

k =constant of variation.

We were given that  z=-60 when x=3 and y=-5.

-60 = k * 3 * (-5)

-60 = -15k

k = -60/ -15

k = 4

Then the equation will be z = (4 x y), given that x = 6 and y = 8:

z = 4 * 6 * 8

z = 192

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put the steps, for changing the formula for sector area of a circle in degrees to the formula for the sector area of a circle in radians, in the correct order​

put the steps, for changing the formula for sector area of a circle in degrees to the formula for the

Answers

Answer:

see explanation

Step-by-step explanation:

The area (A) of a sector is calculated as

A = area of circe × fraction of circle

   = πr² × \(\frac{0}{360}\) ← where θ is in degrees

[ note that 360° = 2π radians ], then

A = πr² × \(\frac{0}{2\pi }\) ← where θ is in radians

( Cancel π on numerator/ denominator )

A = \(\frac{1}{2}\)θr²

9514 1404 393

Answer:

  top down: 2, 4, 1, 7, 6, 5, 3, 8

Step-by-step explanation:

It appears the expected order may be ...

__

Write the formula for a sector area of a circle with central angle, θ, in degrees.

  \(\textit{Area of a Sector}=\dfrac{\theta}{360^{\circ}}\cdot\pi r^2\)

Replace 360° with 2π radians.

  \(\dfrac{\theta}{360^{\circ}}=\dfrac{\theta}{2\pi}\)

Replace the angle ratio in degrees with the angle ratio in radians.

  \(\textit{Area of a Sector}=\dfrac{\theta}{2\pi}\cdot\pi r^2\)

Simplify by cancelling

  \(\textit{Area of a Sector}=\dfrac{1}{2}\theta r^2\)

Adrian bought a jacket that costs 11 dollars and a scarf that costs 15 dollars. At the counter, he received a discount. If he only paid 22 dollars total, how many dollars was the discount?

Answers

There was 4 dollar of discount on the total amount.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

We are given that Adrian bought a jacket that costs 11 dollars and a scarf that costs 15 dollars.

At the counter, he received a discount. If he only paid 22 dollars total, then

Total cost 11 + 15 = 26

But 26 - 22 = 4

Therefore, the discount was 4 dollar.

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If I already owe you 5 apples and now I owe you 10 more apples, how many apples do I owe you now?

Answers

Answer:

15 apples

Step-by-step explanation:

It's kinda obvious ;-;

Answer: 15 because it + so 5 + 10 = 15

Step-by-step explanation:

Which expression is equivalent to the given expression?

6y−12

Answers

Answer:

it is 6(y-2)

Step-by-step explanation:

Darcy and Jordan each had 1/2 a candy bar. Dancy ate 3/4 of her portion.How much of the candy bar did Dancy eat?

Answers

Dancy ate 3/8 of the candy bar.

Algebra 1 help. I got A​

Algebra 1 help. I got A

Answers

Answer: A

Step-by-step explanation:

(f-g)(x) means f(x)-g(x). Since we are given f(x) and g(x), we can directly subtract them.

4x+1-(x²-5)           [distribute -1]

4x+1-x²+5            [combine like terms]

4x-x²+6                [rewrite in the order of exponents]

-x²+4x+6

If x = y – 9, and y – 4 = 10, x = ?

Answers

Answer:

X = 5

\( \sf \large \: x=5 and y=14\)

Step-by-step explanation:

Let's solve your system by substitution.

x=y−9;y−4=10

Rewrite equations:

y−4=10;x=y−9

Step: Solvey−4=10for y:

y−4=10

y−4+4=10+4(Add 4 to both sides)

y=14

Step: Substitute14foryinx=y−9:

x=y−9

x=14−9

x=5(Simplify both sides of the equation)

Pls help I’ll brainlest and add extra points solve it like 7 and 9
Just do 1,3,5

Pls help Ill brainlest and add extra points solve it like 7 and 9Just do 1,3,5

Answers

Answer:

Step-by-step explanation:

1. X=1
2.a=4
3. X=2

They are the answers

Please help me with this proof.​

Please help me with this proof.

Answers

Answer:

See below

Step-by-step explanation:

For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.

6×7/8 write in simplest form

Answers

(Answer: 21/4)

Step-by-step explanation:

6 (7/8)

|Think of 6 as 6/1|

6 . 7  = 42 (/2)  =   21

1   8      8   (/2)       4

When multiplying 2 fractions, the numerators multiply by the other numerator and the same for the denominator (bottom part of fraction).

When you divide one side by 2, you have to do the same to the other side.

The line plot displays the number of roses purchased per day at a grocery store.

A horizontal line starting at 0 with tick marks every one unit up to 10. The line is labeled Number of Rose Bouquets, and the graph is titled Roses Purchased Per Day. There is one dot above 10. There are two dots above 1 and 4. There are three dots above 2 and 5. There are 4 dots above 3.

Which of the following is the best measure of variability for the data, and what is its value?

The IQR is the best measure of variability, and it equals 3.
The IQR is the best measure of variability, and it equals 9.
The range is the best measure of variability, and it equals 3.
The range is the best measure of variability, and it equals 9.

Answers

The range is the best measure of variability for this data, and its value is 4.

Which of the following is the best measure of variability for the data, and what is its value?

The line plot displays the number of roses purchased per day at a grocery store, with the data values ranging from 0 to 4 (since there are no dots above 4).

The best measure of variability for this data is the range, which is the difference between the maximum and minimum values in the data set. In this case, the minimum value is 0 and the maximum value is 4, so the range is:

Range = Maximum value - Minimum value = 4 - 0 = 4

Therefore, the range is the best measure of variability for this data, and its value is 4.

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2. Kasie lives in Seattle. She can see her house from the observation deck of the Seattle Space Needle. The
observation deck is 520 feet above the ground and the angle of depression from the deck to her house
is 70. What is the direct distance from the base of the Space Needle to Kasie's house? Round your
answer to the nearest foot.

Answers

Direct distance from the base of the Space Needle to Kasie's house = 1429 feet.

What is angle of depression?

The angle of depression is the angle between the horizontal line and the observation of the object from the horizontal line. It is basically used to get the distance of the two objects where the angles and an object's distance from the ground are known to us.

Given,

Height of the observation deck AB = 520 feet

Angle of depression = 70°

Distance of the Space needle base to house BC = ?

By the figure,

tan70° = AB/BC

BC = tan70°(AB)

BC = 2.7475(520)

BC = 1428.7 feet

Distance of the Space needle base to house to nearest foot = 1429 feet

Hence, 1429 feet is the distance between base of the Space Needle to Kasie's house.

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2. Kasie lives in Seattle. She can see her house from the observation deck of the Seattle Space Needle.

Can you please Help me!!

Can you please Help me!!

Answers

Answer:

C=0.15t

Step-by-step explanation:

It costs 0.15 per text, so if you multiply that by t, (the number of texts you get), you'll get C, (the total cost).
It also says that he does not call anyone, so we do not need to consider that.

Answer:

C = 0.15t

Step-by-step explanation:

Let t = number of texts sent

Let C = total cost

If one text costs $0.15 to send, and Jaden only texts, then the total cost will be:

C = 0.15t

GEOMETRY 100 POINTS

Find the length of BC​

GEOMETRY 100 POINTSFind the length of BC

Answers

Answer:

x = 16

Step-by-step explanation:

Opposite sides are equal in a parallelogram

AD = BC

5x - 12 = 3x + 20

5x - 3x = 20 + 12

2x = 32

x = 32/2

x = 16

2n + 5 = n - 5
Find the number that n is
And please explain :)

Answers

Answer:

-10

Step-by-step explanation:

2n + 5 = n -5
2n -n =-5-5 (putting variables in one side and numbers in other)
n=-10

2/3n + 4 = -26 we cant figure this out pls help​

Answers

Answer:

n = -45

Step-by-step explanation:

2/3n + 4 = -26

subtract 4 from both sides:

2/3n + 4 - 4 = -26 - 4

2/3n = -30

divide both sides by 2/3:

(2/3n)/(2/3) = (-30)/(2/3)

n = -45

Answer:

n=-45

Step-by-step explanation:

2/3n+4=-26

        -4.  -4

2/3n=-30

/2/3.    /2/3

n=-30/1 *3/2

n=-90/2

n=-45

Hopes this helps please mark brainliest

2/3n + 4 = -26 we cant figure this out pls help

When Alana was born, her grandma put $1000 into a money market account that earns 9% interest each year. How much will be in the account when Alana is 21?

Answers

The amount that would be in the account when Alana is 21  is $2890

How to determine the value

We have to know the formula for simple interest.

This is expressed as;

S.I = PRT/100

Given that the parameters of the formula are enumerated as;

SI is the simple interestP is the principal amountR is the interest rateT is the time taken

From the information given, substitute the values, we have;

SI = 1000 × 9 × 21/100

Multiply the values,

Then, divide by the denominator, we have;

SI = $1890

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Help me plis

Answer
A: 23
B: 83
C: 183
D: 90

Help me plis AnswerA: 23B: 83C: 183D: 90

Answers

Answer:

Option B

83°

Step-by-step explanation:

Since,

To prove it as a kite then according it,

Ac should be a perpendicular bisector of BD

Hence,

<APB = 90°

Also given,

<APB = (x + 7)°

Therefore, by the problem,

=> x + 7 = 90

=> x = 90 - 7

=> x = 83°(Ans)

NEED BIGGGG HELP 25 BRAINLYYY POINTTTTSS



A student was given the following diagram and they were asked: "How many cubic yards of soil
would be needed to fill the garden with 4 inches of soil?"
(Diagram is not to scale)
18 ft.
The student provided the following answer.
9 ft.
4 in.
18 × 9 × = 54 ft² = 18 yd³
Explain any errors that the student may have made in their solution, and provide the correct
answer to the problem.

Answers

Therefore , the solution of the given problem of surface area comes out to be 18 yd³  is needed to fill the garden with 4 inches of soil.

How surface area is defined ?

A measurement of how much space something occupies overall is its surface area. The surface area of a three-dimensional shape includes its whole surroundings. An object's surface area is its entire area. A cuboid's surface area is determined by summing the faces of all of its six oblong sides. The box's measurements could be determined using the formula below: 2lh, 2lw, & 2hw are the same as surface (SA). The whole area is represented by the three-dimensional shape's surface area.

Here,

Given  :

18 × 9 × = 54 ft² = 18 yd³

Thus,

The 4 inches of soil is made at the cubic yards soil .

So , it is correct

Therefore , the solution of the given problem of surface  area comes out to be 18 yd³  is needed to fill the garden with 4 inches of soil.

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Jerneii writes the set of ordered pairs below. The set represents a function.
{(3,-3), (5,0), (-1, 4), (-6, 7)}
Jerneii claims that she can add any point to the set and have the set still represent a function.
Which of the following points can be used to show that Jerneii's claim is incorrect?
O(-6, 1)
O (9,8)
O (0,5)
O (1,7)

Answers

Answer:

WOMP WOMP WOMP!!!

Step-by-step explanation:

Question 16
A shipping box, in the shape of a cube, has a volume of 2.300 cubic inches. Estimate the length of the side of the shipping box to the nearest tenth

Answers

Answer:

2.300cb squred divide by 4 ull get .575

Step-by-step explanation:

Answer:

1.3

Step-by-step explanation:

First off, we know that volume = LxWxH

because this is a cube we know that L=W=H because all the sides are the same.

Now we set up the equation

\(x^{3} =2.3\)

We can simplify by saying

\(\sqrt[3]{2.4}\)

or we can put it in a calculator and get

1.320006...

to the nearest tenth

1.3

The Box is being packed without gaps or overlaps with unit cubes​

The Box is being packed without gaps or overlaps with unit cubes

Answers

The volume of a box is the product of its dimensions

The volume of the box is 11 unit cube

How to determine the volume

From the question, we have the following highlights

The cubes are unit cubesThe boxes are packed without gaps

The volume of a unit cube is:

Volume = 1 unit cube

There are 11 cubes in the box. So, the volume of the box is:

Volume = 11 *1 unit cube

Volume = 11 unit cube

Hence, the volume of the box is 11 unit cube

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Identify the graph of the inequality 2(2x-1)+7< 13 or -2x+5-10.​

Identify the graph of the inequality 2(2x-1)+7&lt; 13 or -2x+5-10.

Answers

From the resulting solution, the correct linear inequality graph is Graph C.

Solving inequality expression

Given the inequality equation below:

2(2x-1)+7< 13 or -2x+5 ≤ -10.​

Simplify the expression

2(2x-1)+7< 13

Expand

4x - 2 + 7 < 13

4x + 5 < 13

4x < 13 - 5

4x < 8

x < 2

For the inequality -2x+5 ≤ -10.

-2x+5 ≤ -10

-2x  ≤ -15

x  ≥ 7.5

Hence the solution to the given system of inequalities are x < 2 and x  ≥ 7.5

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