MATHEMATICS HIGH SCHOOL

Solve |x| = 5
{-5}
{5}
{-5, 5}

Answers

Answer 1

Answer:

Answer:

{-5, 5}

Step-by-step explanation:

|x| = 5

We have both a positive and negative solution

x = 5 and x =-5

Answer 2

Answer:

Answer:

x is in {-5, 5}

Step-by-step explanation:

The absolute value operator takes away the sign, making the result always positive.

So | -5 | = 5

but also | 5 | = 5

Hence two solutions.

Related Questions

H ( t) = -10 + 6 h ( ) = -44
What is the end behavior of the graph of the polynomial function f(x) = –x^5 + 9x^4 – 18x^3?
An initial investment of $100 is now valued at $150. The annual interest rate is 5%, compounded continuously. The equation 100e^0.05t = 150 represents the situation, where t is the number of years the money has been invested. About how long has the money been invested? Use your calculator and round to the nearest whole number.
Caitlin had $402 in her bank account. She withdrew $15 each week to pay for a swimming lesson. She now has $237.a. Write an equation that can be used to find the number of swimming lessons that she paid for.b. How many swimming lessons did she pay for?c. At the time she has $237, the cost of a lesson rose to $19. How many lessons can she pay for with her remaining $237?
What is equal to 5 radical 3

Please help me with this im pretty confused ?

Answers

Answer:

a=6

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

a^2 + 8^2 = 10^2

a^2 + 64= 100

a^2 +64-64 = 100-64

a^2 = 36

Take the square root of each side

sqrt(a^2) = sqrt(36)

a = 6

Answer:

a = 6

The length of side a is 6.

Step-by-step explanation:

According to the question,

Using Pythagorean theorem

( a )² + ( b )² = ( c )²

Where, a and b are the base and c is the length of hypotenuse.

( a )² + ( 8 )² = ( 10 )²

evaluate the exponent

a ² + 64 = 100

subtract 64 from each side

a ² + 64 - 64 = 100 - 64

a ² = 36

Take the square root of each side

√a² = √36

a = 6

What's 32 to the power of negative 2/5

Answers

$32^{-(2)/(5)}=\sqrt[5]{32}^(-2)=2^(-2)=((1)/(2))^2=(1)/(4)$

If the sphere shown above has a radius of 14 units then what is the approximate volume of the sphere

Answers

Answer:

About 11494.04

Step-by-step explanation:

There is no sphere shown above but I can still get you the answer:

The formula for the volume of a sphere is $(4)/(3) *$ π*r³

Putting in the radius, we get:

$(4)/(3)$ *π*14³=

$(4)/(3)$ *π*2744=

$(10976)/(3)$ *π=

3658.66*π≈11494.04

2/3 of all your books are fiction. 1/6 of those are historical fiction. What fraction of all your books are historical fiction?

Answers

multiply 2/3 and 1/6
2*1= 2
3*18=54
simplify 2/54 = 1/27

Toy shop orders 11 boxes of marbles each box contains six bags of marbles each bag contains 45 marbles how many marbles does the shop orderin toy shop orders 11 boxes of marbles each box contains six bags of marbles each bag contains 45 marbles how many marbles does the shop order in total

Answers

Number of boxes = 11

1 box = 6 bags
11 boxes = 6 x 11
11 boxes = 66 bags

1 bag = 45 marbles
66 bags = 45 x 66
66 bags = 2970 marbles

Answer: The shop ordered 2970 marbles.

What is a good reasoner this help plz.SO I copied an answer for my school and I accidentally copied "hope this helped" and she is wondering why I put that... PLZ HELP :/